From 893e1dfd93b72a35f1e0674c6ad2a72643542da1 Mon Sep 17 00:00:00 2001 From: mstrmnd1 Date: Mon, 20 Feb 2023 20:26:47 -0600 Subject: [PATCH 1/5] Update demo_model.py --- demo/demo_model.py | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/demo/demo_model.py b/demo/demo_model.py index 854755cf9..c962c3c14 100644 --- a/demo/demo_model.py +++ b/demo/demo_model.py @@ -29,9 +29,9 @@ # Working example for MM1 model. # ----------------------------------------------- -from simopt.models.mm1queue import MM1Queue -fixed_factors = {"lambda": 3.0, "mu": 8.0} -mymodel = MM1Queue(fixed_factors) +from simopt.models.cntnv import CntNV +fixed_factors = {"sales_price": 10.0} +mymodel = CntNV(fixed_factors) # ----------------------------------------------- # The rest of this script requires no changes. From 03bcd29119427e14773bc62b8e7d993aa80359c0 Mon Sep 17 00:00:00 2001 From: mstrmnd1 Date: Tue, 7 Mar 2023 13:30:39 -0600 Subject: [PATCH 2/5] Update cntnv.py --- simopt/models/cntnv.py | 402 +++++++++++++++++++++++++++++++++++++---- 1 file changed, 366 insertions(+), 36 deletions(-) diff --git a/simopt/models/cntnv.py b/simopt/models/cntnv.py index 5aabc45a2..11b56a0c6 100644 --- a/simopt/models/cntnv.py +++ b/simopt/models/cntnv.py @@ -5,11 +5,10 @@ A detailed description of the model/problem can be found `here `_. """ import numpy as np - +import pulp from ..base import Model, Problem - -class CntNV(Model): +class FactNV(Model): """ A model that simulates a day's worth of sales for a newsvendor with a Burr Type XII demand distribution. Returns the profit, after @@ -42,30 +41,75 @@ class CntNV(Model): def __init__(self, fixed_factors=None): if fixed_factors is None: fixed_factors = {} - self.name = "CNTNEWS" + self.name = "FactNews" self.n_rngs = 1 self.n_responses = 1 self.factors = fixed_factors self.specifications = { - "purchase_price": { - "description": "purchasing cost per unit", + "num_customer": { + "description": "number of customers. Only input if simulating dynamic NV", + "datatype": int, + "default": None + }, + "num_resource": { + "description": "number of resources", + "datatype": int, + "default": 5 + }, + "num_product": { + "description": "number of products", + "datatype": int, + "default": 5 + }, + "res_to_prod": { + "description": "P by R matrix mapping R resources to P products", + "datatype": list, + "default": list(np.identity(5)) + }, + "purchase_cost": { + "description": "purchasing cost per resource unit", + "datatype": list, + "default": list(5 * np.ones(5)) + }, + "recourse_cost": { + "description": "recourse purchasing cost per resource unit", + "datatype": list, + "default": list(10 * np.ones(5)) + }, + "processing_cost": { + "description": "processing cost per product", + "datatype": list, + "default": list(0.1 * np.ones(5)) + }, + "order_cost": { + "description": "fixed one-time ordering cost", "datatype": float, - "default": 5.0 + "default": 0 + }, + "purchase_yield": { + "description": "yield rate of purchased materials (in FactNV) or products (in RetaNV)", + "datatype": list, + "default": list(np.ones(5)) }, "sales_price": { - "description": "sales price per unit", - "datatype": float, - "default": 9.0 + "description": "sales price per product unit", + "datatype": list, + "default": list(9 * np.ones(5)) }, "salvage_price": { - "description": "salvage cost per unit", + "description": "salvage cost per product unit", "datatype": float, - "default": 1.0 + "default": list(np.ones(5)) }, "order_quantity": { - "description": "order quantity", - "datatype": float, # or int - "default": 0.5 + "description": "order quantity per resource (in FactNV) or product (in RetaNV)", + "datatype": list, # or int + "default": list(20* np.ones(5)) + }, + "recourse_quantity": { + "description": "recourse order quantity per resource", + "datatype": list, # or int + "default": list(1* np.ones(5)) }, "Burr_c": { "description": "Burr Type XII cdf shape parameter", @@ -76,42 +120,96 @@ def __init__(self, fixed_factors=None): "description": "Burr Type XII cdf shape parameter", "datatype": float, "default": 20.0 + }, + "mu": { + "description": "mu for calculating Gumbel random variable", + "datatype": float, + "default": None + }, + "c_utility": { + "description": "constant of each product's utility", + "datatype": list, + "default": None } } self.check_factor_list = { - "purchase_price": self.check_purchase_price, + "num_customer": self.check_customer, + "num_resource": self.check_num_resource, + "num_product": self.check_num_product, + "res_to_product": self.check_res_to_prod, + "purchase_cost": self.check_purchase_cost, + "processing_cost": self.check_processing_cost, + "order_cost": self.check_order_cost, + "purchase_yield": self.check_purchase_yield, "sales_price": self.check_sales_price, "salvage_price": self.check_salvage_price, "order_quantity": self.check_order_quantity, + "recource_quantity": self.check_recourse_quantity, "Burr_c": self.check_Burr_c, - "Burr_k": self.check_Burr_k + "Burr_k": self.check_Burr_k, + "mu": self.check_mu, + "c_utility": self.check_utility } # Set factors of the simulation model. super().__init__(fixed_factors) - def check_purchase_price(self): - return self.factors["purchase_price"] > 0 + def check_customer(self): + return (self.factors["num_customer"] is None) + + def check_num_resource(self): + return (self.factors["num_resource"] > 0) + + def check_num_product(self): + return (self.factors["num_product"] > 0) + + def check_res_to_prod(self): + return (np.shape(self.factors["res_to_prod"])[0] == self.factors["num_product"]) and (np.shape(self.factors["res_to_prod"])[1] == self.factors["num_resource"]) + + def check_purchase_cost(self): + return all(np.array(self.factors["purchase_cost"]) > 0) and (len(self.factors["purchase_cost"]) == self.factors["num_resource"]) + + def check_recourse_cost(self): + if self.factors["recourse_cost"] != None: + return all(np.array(self.factors["recourse_cost"]) > 0) and (len(self.factors["recourse_cost"]) == self.factors["num_resource"]) + else: + return True + + def check_processing_cost(self): + return all(np.array(self.factors["processing_cost"]) >= 0) and (len(self.factors["processing_cost"]) == self.factors["num_product"]) + + def check_order_cost(self): + return (self.factors["order_cost"] >= 0) + + def check_purchase_yield(self): + return all(self.factors["purchase_yield"] <= 1) and (len(self.factors["purchase_yield"]) == self.factors["num_resource"]) def check_sales_price(self): - return self.factors["sales_price"] > 0 + return all(np.array(self.factors["sales_price"]) > 0) def check_salvage_price(self): - return self.factors["salvage_price"] > 0 + return all(np.array(self.factors["salvage_price"]) > 0) def check_order_quantity(self): - return self.factors["order_quantity"] > 0 + return all(np.array(self.factors["order_quantity"]) > 0) and (len(self.factors["order_quantity"]) == self.factors["num_resource"]) + + def check_recourse_quantity(self): + return all(np.array(self.factors["recourse_quantity"]) >= 0) and (len(self.factors["recourse_quantity"]) == self.factors["num_resource"]) def check_Burr_c(self): return self.factors["Burr_c"] > 0 def check_Burr_k(self): return self.factors["Burr_k"] > 0 - + + def check_mu(self): + return True + + def check_utility(self): + return True + def check_simulatable_factors(self): - return (self.factors["salvage_price"] - < self.factors["purchase_price"] - < self.factors["sales_price"]) - + return all((self.factors["sales_price"] - np.dot(self.factors["purchase_cost"], np.array(self.factors["res_to_prod"]).T)) > 0) + def replicate(self, rng_list): """ Simulate a single replication for the current model factors. @@ -134,17 +232,157 @@ def replicate(self, rng_list): # Generate random demand according to Burr Type XII distribution. # If U ~ Uniform(0,1) and the Burr Type XII has parameters c and k, # X = ((1-U)**(-1/k - 1))**(1/c) has the desired distribution. - base = ((1 - demand_rng.random())**(-1 / self.factors["Burr_k"]) - 1) - exponent = (1 / self.factors["Burr_c"]) - demand = base**exponent + demand = [] + for i in range(self.factors["num_product"]): + base = ((1 - demand_rng.random())**(-1 / self.factors["Burr_k"]) - 1) + exponent = (1 / self.factors["Burr_c"]) + unit_demand = base**exponent + demand.append(unit_demand) + + # define IP problem for production of goods to fulfill realized demand + X = pulp.LpVariable.dicts("X", range(self.factors["num_product"]), lowBound=0, cat='Integer') + Y = pulp.LpVariable.dicts("Y", range(self.factors["num_resource"]), lowBound=0, cat='Integer') + prob = pulp.LpProblem("Integer Program", pulp.LpMaximize) + prob += pulp.lpSum([self.factors["sales_price"][i]*X[i] for i in range(self.factors["num_product"])]) - \ + pulp.lpSum([X[i]*np.dot(self.factors["res_to_prod"], self.factors["purchase_cost"])[i] for i in range(self.factors["num_product"])]) - \ + pulp.lpSum([Y[i]*self.factors["recourse_cost"][i] for i in range(self.factors["num_resource"])]) + + # Define constraints + prob += pulp.lpSum([X[i]*np.dot(self.factors["res_to_prod"], self.factors["purchase_cost"])[i] for i in range(self.factors["num_product"])]) <= self.factors["prod_budget"] + for j in range(self.factors["num_resource"]): + prob += pulp.lpSum([self.factors["res_to_prod"][i][j]*X[i] for i in range(self.factors["num_product"])]) <= self.factors["order_quantity"][j] + Y[j] + for i in range(self.factors["num_product"]): + prob += X[i] <= demand[i] + prob.solve() + + # Results of IP + Finish_Goods = np.array([pulp.value(X[i]) for i in range(self.factors["num_product"])]) + Recourse = np.array([pulp.value(Y[i]) for i in range(self.factors["num_resource"])]) + + # Calculate profit. + total_cost = (self.factors["purchase_cost"] * self.factors["order_quantity"] + \ + Recourse * self.factors["recourse_cost"] + \ + Finish_Goods * self.factors["processing_cost"] + self.factors["order_cost"]) + sales_revenue = (np.array(list(map(min, demand, Finish_Goods))) + * self.factors["sales_price"]) + salvage_revenue = ((np.where((Finish_Goods-demand)<0, 0, (Finish_Goods-demand))) + * self.factors["salvage_price"]) + profit = sales_revenue + salvage_revenue - total_cost + + """HOW TO MODIFY BELOW?""" + stockout_qty = max(demand - self.factors["order_quantity"], 0) + stockout = int(stockout_qty > 0) + # Calculate gradient of profit w.r.t. order quantity. + if demand > self.factors["order_quantity"]: + grad_profit_order_quantity = (self.factors["sales_price"] + - self.factors["purchase_price"]) + elif demand < self.factors["order_quantity"]: + grad_profit_order_quantity = (self.factors["salvage_price"] + - self.factors["purchase_price"]) + else: + grad_profit_order_quantity = np.nan + # Compose responses and gradients. + responses = {"profit": profit, "stockout_qty": stockout_qty, "stockout": stockout} + gradients = {response_key: + {factor_key: np.nan for factor_key in self.specifications} + for response_key in responses + } + gradients["profit"]["order_quantity"] = grad_profit_order_quantity + return responses, gradients + +class RetaNV(FactNV): + """ + Child of FactNV class. Several parameters are modified accordingly, along with the replicate method. + """ + def __init__(self, fixed_factors=None): + if fixed_factors is None: + fixed_factors = {} + self.name = "RetaNews" + self.factors = fixed_factors + self.specifications = { + "num_resource": { + "description": "number of resources", + "datatype": int, + "default": None + }, + "res_to_prod": { + "description": "P by R matrix mapping R resources to P products", + "datatype": list, + "default": None + }, + "processing_cost": { + "description": "processing cost per product", + "datatype": list, + "default": None + }, + } + super().__init__(fixed_factors) + + def check_num_resource(self): + return (self.factors["num_resource"] is None) + + def check_res_to_prod(self): + return (self.factors["res_to_prod"] is None) + + def check_purchase_cost(self): + return all(np.array(self.factors["purchase_cost"]) > 0) and (len(self.factors["purchase_cost"]) == self.factors["num_product"]) + + def check_recourse_cost(self): + return all(np.array(self.factors["recourse_cost"]) > 0) and (len(self.factors["recourse_cost"]) == self.factors["num_product"]) + + def check_processing_cost(self): + return (self.factors["processing_cost"] is None) + + def check_purchase_yield(self): + return all(self.factors["purchase_yield"] <= 1) and (len(self.factors["purchase_yield"]) == self.factors["num_product"]) + + def check_order_quantity(self): + return all(np.array(self.factors["order_quantity"]) > 0) and (len(self.factors["order_quantity"]) == self.factors["num_product"]) + + def check_recourse_quantity(self): + return all(np.array(self.factors["recourse_quantity"]) >= 0) and (len(self.factors["recourse_quantity"]) == self.factors["num_product"]) + + def check_simulatable_factors(self): + return all((self.factors["sales_price"] - self.factors["purchase_cost"]) > 0) + + def replicate(self, rng_list): + """ + Simulate a single replication for the current model factors. + Arguments + --------- + rng_list : list of mrg32k3a.mrg32k3a.MRG32k3a objects + rngs for model to use when simulating a replication + Returns + ------- + responses : dict + performance measures of interest + "profit" = profit in this scenario + "stockout_qty" = amount by which demand exceeded supply + "stockout" = was there unmet demand? (Y/N) + """ + # Designate random number generator for demand variability. + demand_rng = rng_list[0] + # Generate random demand according to Burr Type XII distribution. + # If U ~ Uniform(0,1) and the Burr Type XII has parameters c and k, + # X = ((1-U)**(-1/k - 1))**(1/c) has the desired distribution. + demand = [] + for i in range(self.factors["num_product"]): + base = ((1 - demand_rng.random())**(-1 / self.factors["Burr_k"]) - 1) + exponent = (1 / self.factors["Burr_c"]) + unit_demand = base**exponent + demand.append(unit_demand) + # Calculate profit. - order_cost = (self.factors["purchase_price"] - * self.factors["order_quantity"]) - sales_revenue = (min(demand, self.factors["order_quantity"]) + total_cost = self.factors["purchase_cost"] * self.factors["order_quantity"] + \ + self.factors["recourse_cost"] * self.factors["recourse_quantity"] +\ + self.factors["order_cost"] + sales_revenue = (np.array(list(map(min, demand, (self.factors["order_quantity"]+self.factors["recourse_quantity"])))) * self.factors["sales_price"]) - salvage_revenue = (max(0, self.factors["order_quantity"] - demand) + salvage_revenue = ((np.where(((self.factors["order_quantity"]+self.factors["recourse_quantity"])-demand)<0, 0, (self.factors["order_quantity"]+self.factors["recourse_quantity"]-demand))) * self.factors["salvage_price"]) - profit = sales_revenue + salvage_revenue - order_cost + profit = sales_revenue + salvage_revenue - total_cost + + """HOW TO MODIFY BELOW?""" stockout_qty = max(demand - self.factors["order_quantity"], 0) stockout = int(stockout_qty > 0) # Calculate gradient of profit w.r.t. order quantity. @@ -164,7 +402,99 @@ def replicate(self, rng_list): } gradients["profit"]["order_quantity"] = grad_profit_order_quantity return responses, gradients + +class DynamNV(RetaNV): + def __init__(self, fixed_factors=None): + if fixed_factors is None: + fixed_factors = {} + self.name = "DynamNews" + self.factors = fixed_factors + self.specifications = { + "num_customer": { + "description": "number of customers. Only input if simulating dynamic NV", + "datatype": int, + "default": 5 + }, + "recourse_quantity": { + "description": "recourse order quantity per resource", + "datatype": list, # or int + "default": None + }, + "mu": { + "description": "mu for calculating Gumbel random variable", + "datatype": float, + "default": 1.0 + }, + "c_utility": { + "description": "constant of each product's utility", + "datatype": list, + "default": [5 + j for j in range(1, 6)] + } + } + super().__init__(fixed_factors) + + def check_customer(self): + return (self.factors["num_customer"] > 0) + + def check_recourse_quantity(self): + return (self.factors["recourse_quantity"] is None) + + def check_mu(self): + return (self.factors["mu"] is not None) + + def check_utility(self): + return (len(self.factors["c_utility"]) == self.factors["num_product"]) + + def replicate(self, rng_list): + """ + A method for dynamic newsvendor model. Customers purchase products according to their utility level. + """ + # Designate random number generator for generating a Gumbel random variable. + Gumbel_rng = rng_list[0] + # Compute Gumbel rvs for the utility of the products. + gumbel = np.zeros(((self.factors["num_customer"], self.factors["num_product"]))) + for t in range(self.factors["num_customer"]): + for j in range(self.factors["num_product"]): + gumbel[t][j] = Gumbel_rng.gumbelvariate(-self.factors["mu"] * np.euler_gamma, self.factors["mu"]) + # Compute utility for each product and each customer. + utility = np.zeros((self.factors["num_customer"], self.factors["num_product"] + 1)) + for t in range(self.factors["num_customer"]): + for j in range(self.factors["num_product"] + 1): + if j == 0: + utility[t][j] = 0 + else: + utility[t][j] = self.factors["c_utility"][j - 1] + gumbel[t][j - 1] + + # Initialize inventory. + inventory = np.copy(self.factors["order_quantity"]) + itembought = np.zeros(self.factors["num_customer"]) + + # Loop through customers + for t in range(self.factors["num_customer"]): + instock = np.where(inventory > 0)[0] + # Initialize the purchase option to be no-purchase. + itembought[t] = 0 + # Assign the purchase option to be the product that maximizes the utility. + for j in instock: + if utility[t][j + 1] > utility[t][int(itembought[t])]: + itembought[t] = j + 1 + if itembought[t] != 0: + inventory[int(itembought[t] - 1)] -= 1 + + numsold = self.factors["order_quantity"] - inventory + revenue = numsold * np.array(self.factors["sales_price"]) + salvage = inventory * self.factors["salvage_price"] + cost = self.factors["order_quantity"] * np.array(self.factors["pruchase_cost"]) + self.factors["order_cost"] + profit = revenue - cost + salvage + + # Compose responses and gradients. + responses = {"profit": np.sum(profit), "n_prod_stockout": np.sum(inventory == 0)} + gradients = {response_key: + {factor_key: np.nan for factor_key in self.specifications} + for response_key in responses + } + return responses, gradients """ Summary @@ -282,7 +612,7 @@ def __init__(self, name="CNTNEWS-1", fixed_factors=None, model_fixed_factors=Non } super().__init__(fixed_factors, model_fixed_factors) # Instantiate model with fixed factors and overwritten defaults. - self.model = CntNV(self.model_fixed_factors) + self.model = Problem(self.model_fixed_factors) def vector_to_factor_dict(self, vector): """ From 46f9e3236ebcbb68da0b83840f57e45cb3f865cd Mon Sep 17 00:00:00 2001 From: mstrmnd1 Date: Mon, 27 Mar 2023 09:42:05 -0500 Subject: [PATCH 3/5] Added factors for CntNV to include IP --- demo/demo_model.py | 2 +- simopt/models/cntnv.py | 386 ++++++++++------------------------------- 2 files changed, 90 insertions(+), 298 deletions(-) diff --git a/demo/demo_model.py b/demo/demo_model.py index c962c3c14..204076882 100644 --- a/demo/demo_model.py +++ b/demo/demo_model.py @@ -30,7 +30,7 @@ # Working example for MM1 model. # ----------------------------------------------- from simopt.models.cntnv import CntNV -fixed_factors = {"sales_price": 10.0} +fixed_factors = {} mymodel = CntNV(fixed_factors) # ----------------------------------------------- diff --git a/simopt/models/cntnv.py b/simopt/models/cntnv.py index 11b56a0c6..7f0e803e7 100644 --- a/simopt/models/cntnv.py +++ b/simopt/models/cntnv.py @@ -8,7 +8,7 @@ import pulp from ..base import Model, Problem -class FactNV(Model): +class CntNV(Model): """ A model that simulates a day's worth of sales for a newsvendor with a Burr Type XII demand distribution. Returns the profit, after @@ -41,16 +41,11 @@ class FactNV(Model): def __init__(self, fixed_factors=None): if fixed_factors is None: fixed_factors = {} - self.name = "FactNews" + self.name = "CNTNV" self.n_rngs = 1 self.n_responses = 1 self.factors = fixed_factors self.specifications = { - "num_customer": { - "description": "number of customers. Only input if simulating dynamic NV", - "datatype": int, - "default": None - }, "num_resource": { "description": "number of resources", "datatype": int, @@ -76,7 +71,7 @@ def __init__(self, fixed_factors=None): "datatype": list, "default": list(10 * np.ones(5)) }, - "processing_cost": { + "process_cost": { "description": "processing cost per product", "datatype": list, "default": list(0.1 * np.ones(5)) @@ -90,72 +85,63 @@ def __init__(self, fixed_factors=None): "description": "yield rate of purchased materials (in FactNV) or products (in RetaNV)", "datatype": list, "default": list(np.ones(5)) + }, + "process_budget": { + "description": "budget for material processing; set as a very large number if no such budget", + "datatype": int, + "default": 10000 + }, + "purchase_budget": { + "description": "purchasing budget for raw material", + "datatype": int, + "default": 50000 }, "sales_price": { "description": "sales price per product unit", "datatype": list, - "default": list(9 * np.ones(5)) + "default": list(20 * np.ones(5)) }, "salvage_price": { "description": "salvage cost per product unit", - "datatype": float, + "datatype": list, "default": list(np.ones(5)) }, "order_quantity": { "description": "order quantity per resource (in FactNV) or product (in RetaNV)", - "datatype": list, # or int - "default": list(20* np.ones(5)) - }, - "recourse_quantity": { - "description": "recourse order quantity per resource", - "datatype": list, # or int - "default": list(1* np.ones(5)) + "datatype": list, + "default": list(2* np.ones(5)) }, "Burr_c": { "description": "Burr Type XII cdf shape parameter", "datatype": float, - "default": 2.0 + "default": 40.0 }, "Burr_k": { "description": "Burr Type XII cdf shape parameter", "datatype": float, - "default": 20.0 - }, - "mu": { - "description": "mu for calculating Gumbel random variable", - "datatype": float, - "default": None - }, - "c_utility": { - "description": "constant of each product's utility", - "datatype": list, - "default": None + "default": 5.0 } } self.check_factor_list = { - "num_customer": self.check_customer, "num_resource": self.check_num_resource, "num_product": self.check_num_product, - "res_to_product": self.check_res_to_prod, + "res_to_prod": self.check_res_to_prod, "purchase_cost": self.check_purchase_cost, - "processing_cost": self.check_processing_cost, + "process_cost": self.check_process_cost, "order_cost": self.check_order_cost, + "recourse_cost": self.check_recourse_cost, "purchase_yield": self.check_purchase_yield, + "process_budget": self.check_process_budget, + "purchase_budget": self.check_purchase_budget, "sales_price": self.check_sales_price, "salvage_price": self.check_salvage_price, "order_quantity": self.check_order_quantity, - "recource_quantity": self.check_recourse_quantity, "Burr_c": self.check_Burr_c, "Burr_k": self.check_Burr_k, - "mu": self.check_mu, - "c_utility": self.check_utility } # Set factors of the simulation model. super().__init__(fixed_factors) - - def check_customer(self): - return (self.factors["num_customer"] is None) - + def check_num_resource(self): return (self.factors["num_resource"] > 0) @@ -169,20 +155,26 @@ def check_purchase_cost(self): return all(np.array(self.factors["purchase_cost"]) > 0) and (len(self.factors["purchase_cost"]) == self.factors["num_resource"]) def check_recourse_cost(self): - if self.factors["recourse_cost"] != None: + if self.factors["recourse_cost"] is not None: return all(np.array(self.factors["recourse_cost"]) > 0) and (len(self.factors["recourse_cost"]) == self.factors["num_resource"]) else: return True - def check_processing_cost(self): - return all(np.array(self.factors["processing_cost"]) >= 0) and (len(self.factors["processing_cost"]) == self.factors["num_product"]) + def check_process_cost(self): + return all(np.array(self.factors["process_cost"]) >= 0) and (len(self.factors["process_cost"]) == self.factors["num_product"]) def check_order_cost(self): return (self.factors["order_cost"] >= 0) def check_purchase_yield(self): - return all(self.factors["purchase_yield"] <= 1) and (len(self.factors["purchase_yield"]) == self.factors["num_resource"]) - + return all(np.array(self.factors["purchase_yield"]) <= 1) and (len(self.factors["purchase_yield"]) == self.factors["num_resource"]) + + def check_process_budget(self): + return (self.factors["process_budget"] > 0) + + def check_purchase_budget(self): + return (np.dot(self.factors["order_quantity"], self.factors["purchase_cost"]) <= self.factors["purchase_budget"]) + def check_sales_price(self): return all(np.array(self.factors["sales_price"]) > 0) @@ -192,23 +184,14 @@ def check_salvage_price(self): def check_order_quantity(self): return all(np.array(self.factors["order_quantity"]) > 0) and (len(self.factors["order_quantity"]) == self.factors["num_resource"]) - def check_recourse_quantity(self): - return all(np.array(self.factors["recourse_quantity"]) >= 0) and (len(self.factors["recourse_quantity"]) == self.factors["num_resource"]) - def check_Burr_c(self): return self.factors["Burr_c"] > 0 def check_Burr_k(self): return self.factors["Burr_k"] > 0 - def check_mu(self): - return True - - def check_utility(self): - return True - def check_simulatable_factors(self): - return all((self.factors["sales_price"] - np.dot(self.factors["purchase_cost"], np.array(self.factors["res_to_prod"]).T)) > 0) + return all((self.factors["sales_price"] - np.dot(self.factors["res_to_prod"], self.factors["purchase_cost"])) > 0) def replicate(self, rng_list): """ @@ -238,19 +221,37 @@ def replicate(self, rng_list): exponent = (1 / self.factors["Burr_c"]) unit_demand = base**exponent demand.append(unit_demand) - + print(demand) + # Generate binomial random variate for initial resource levels based on yield rates + stock_resource = [] + for i in range(self.factors["num_resource"]): + stock_resource.append(np.random.binomial(self.factors["order_quantity"], self.factors["purchase_yield"])) + # define IP problem for production of goods to fulfill realized demand + """ + X: amount of products produced for each product type + Y: recourse quantity for each resource type + Objective: maximize profit => sum(product sales) - sum(material cost) - sum(process cost) - sum(recourse cost) + """ X = pulp.LpVariable.dicts("X", range(self.factors["num_product"]), lowBound=0, cat='Integer') Y = pulp.LpVariable.dicts("Y", range(self.factors["num_resource"]), lowBound=0, cat='Integer') - prob = pulp.LpProblem("Integer Program", pulp.LpMaximize) + prob = pulp.LpProblem("Integer_Program", pulp.LpMaximize) prob += pulp.lpSum([self.factors["sales_price"][i]*X[i] for i in range(self.factors["num_product"])]) - \ - pulp.lpSum([X[i]*np.dot(self.factors["res_to_prod"], self.factors["purchase_cost"])[i] for i in range(self.factors["num_product"])]) - \ + pulp.lpSum([X[i]*(np.dot(self.factors["res_to_prod"], self.factors["purchase_cost"]))[i] for i in range(self.factors["num_product"])]) - \ + pulp.lpSum([X[i]*self.factors["process_cost"][i] for i in range(self.factors["num_product"])]) - \ pulp.lpSum([Y[i]*self.factors["recourse_cost"][i] for i in range(self.factors["num_resource"])]) # Define constraints - prob += pulp.lpSum([X[i]*np.dot(self.factors["res_to_prod"], self.factors["purchase_cost"])[i] for i in range(self.factors["num_product"])]) <= self.factors["prod_budget"] + """ + C1: sum(process cost) <= process budget + C2: sum(rescourse cost) <= purchase budget - sum(initial resource cost) + C3: for each resource, the amount used <= (initial resource + recourse quantity) + C4: for each product, the amount produced <= demand + """ + prob += pulp.lpSum([X[i]*self.factors["process_cost"][i] for i in range(self.factors["num_product"])]) <= self.factors["process_budget"] + prob += pulp.lpSum([Y[i]*self.factors["recourse_cost"][i] for i in range(self.factors["num_resource"])]) <= self.factors["purchase_budget"] - np.dot(self.factors["order_quantity"], self.factors["purchase_cost"]) for j in range(self.factors["num_resource"]): - prob += pulp.lpSum([self.factors["res_to_prod"][i][j]*X[i] for i in range(self.factors["num_product"])]) <= self.factors["order_quantity"][j] + Y[j] + prob += pulp.lpSum([self.factors["res_to_prod"][i][j]*X[i] for i in range(self.factors["num_product"])]) <= stock_resource[j] + Y[j] for i in range(self.factors["num_product"]): prob += X[i] <= demand[i] prob.solve() @@ -258,243 +259,23 @@ def replicate(self, rng_list): # Results of IP Finish_Goods = np.array([pulp.value(X[i]) for i in range(self.factors["num_product"])]) Recourse = np.array([pulp.value(Y[i]) for i in range(self.factors["num_resource"])]) - - # Calculate profit. - total_cost = (self.factors["purchase_cost"] * self.factors["order_quantity"] + \ - Recourse * self.factors["recourse_cost"] + \ - Finish_Goods * self.factors["processing_cost"] + self.factors["order_cost"]) - sales_revenue = (np.array(list(map(min, demand, Finish_Goods))) - * self.factors["sales_price"]) - salvage_revenue = ((np.where((Finish_Goods-demand)<0, 0, (Finish_Goods-demand))) - * self.factors["salvage_price"]) - profit = sales_revenue + salvage_revenue - total_cost - - """HOW TO MODIFY BELOW?""" - stockout_qty = max(demand - self.factors["order_quantity"], 0) - stockout = int(stockout_qty > 0) - # Calculate gradient of profit w.r.t. order quantity. - if demand > self.factors["order_quantity"]: - grad_profit_order_quantity = (self.factors["sales_price"] - - self.factors["purchase_price"]) - elif demand < self.factors["order_quantity"]: - grad_profit_order_quantity = (self.factors["salvage_price"] - - self.factors["purchase_price"]) - else: - grad_profit_order_quantity = np.nan - # Compose responses and gradients. - responses = {"profit": profit, "stockout_qty": stockout_qty, "stockout": stockout} - gradients = {response_key: - {factor_key: np.nan for factor_key in self.specifications} - for response_key in responses - } - gradients["profit"]["order_quantity"] = grad_profit_order_quantity - return responses, gradients - -class RetaNV(FactNV): - """ - Child of FactNV class. Several parameters are modified accordingly, along with the replicate method. - """ - def __init__(self, fixed_factors=None): - if fixed_factors is None: - fixed_factors = {} - self.name = "RetaNews" - self.factors = fixed_factors - self.specifications = { - "num_resource": { - "description": "number of resources", - "datatype": int, - "default": None - }, - "res_to_prod": { - "description": "P by R matrix mapping R resources to P products", - "datatype": list, - "default": None - }, - "processing_cost": { - "description": "processing cost per product", - "datatype": list, - "default": None - }, - } - super().__init__(fixed_factors) - - def check_num_resource(self): - return (self.factors["num_resource"] is None) - - def check_res_to_prod(self): - return (self.factors["res_to_prod"] is None) - - def check_purchase_cost(self): - return all(np.array(self.factors["purchase_cost"]) > 0) and (len(self.factors["purchase_cost"]) == self.factors["num_product"]) - - def check_recourse_cost(self): - return all(np.array(self.factors["recourse_cost"]) > 0) and (len(self.factors["recourse_cost"]) == self.factors["num_product"]) - - def check_processing_cost(self): - return (self.factors["processing_cost"] is None) - - def check_purchase_yield(self): - return all(self.factors["purchase_yield"] <= 1) and (len(self.factors["purchase_yield"]) == self.factors["num_product"]) - - def check_order_quantity(self): - return all(np.array(self.factors["order_quantity"]) > 0) and (len(self.factors["order_quantity"]) == self.factors["num_product"]) - - def check_recourse_quantity(self): - return all(np.array(self.factors["recourse_quantity"]) >= 0) and (len(self.factors["recourse_quantity"]) == self.factors["num_product"]) - - def check_simulatable_factors(self): - return all((self.factors["sales_price"] - self.factors["purchase_cost"]) > 0) - - def replicate(self, rng_list): - """ - Simulate a single replication for the current model factors. - Arguments - --------- - rng_list : list of mrg32k3a.mrg32k3a.MRG32k3a objects - rngs for model to use when simulating a replication - Returns - ------- - responses : dict - performance measures of interest - "profit" = profit in this scenario - "stockout_qty" = amount by which demand exceeded supply - "stockout" = was there unmet demand? (Y/N) - """ - # Designate random number generator for demand variability. - demand_rng = rng_list[0] - # Generate random demand according to Burr Type XII distribution. - # If U ~ Uniform(0,1) and the Burr Type XII has parameters c and k, - # X = ((1-U)**(-1/k - 1))**(1/c) has the desired distribution. - demand = [] - for i in range(self.factors["num_product"]): - base = ((1 - demand_rng.random())**(-1 / self.factors["Burr_k"]) - 1) - exponent = (1 / self.factors["Burr_c"]) - unit_demand = base**exponent - demand.append(unit_demand) - + print("This is finished goods:", Finish_Goods) # Calculate profit. - total_cost = self.factors["purchase_cost"] * self.factors["order_quantity"] + \ - self.factors["recourse_cost"] * self.factors["recourse_quantity"] +\ - self.factors["order_cost"] - sales_revenue = (np.array(list(map(min, demand, (self.factors["order_quantity"]+self.factors["recourse_quantity"])))) - * self.factors["sales_price"]) - salvage_revenue = ((np.where(((self.factors["order_quantity"]+self.factors["recourse_quantity"])-demand)<0, 0, (self.factors["order_quantity"]+self.factors["recourse_quantity"]-demand))) - * self.factors["salvage_price"]) + total_cost = (np.dot(self.factors["order_quantity"], self.factors["purchase_cost"]) + \ + np.dot(Recourse, self.factors["recourse_cost"]) + \ + np.dot(Finish_Goods, self.factors["process_cost"]) + \ + self.factors["order_cost"]) + sales_revenue = np.dot([min(s, d) for s, d in zip(Finish_Goods, demand)], self.factors["sales_price"]) + salvage_revenue = np.dot([max(s-d, 0) for s, d in zip(Finish_Goods, demand)], self.factors["salvage_price"]) profit = sales_revenue + salvage_revenue - total_cost - """HOW TO MODIFY BELOW?""" - stockout_qty = max(demand - self.factors["order_quantity"], 0) - stockout = int(stockout_qty > 0) - # Calculate gradient of profit w.r.t. order quantity. - if demand > self.factors["order_quantity"]: - grad_profit_order_quantity = (self.factors["sales_price"] - - self.factors["purchase_price"]) - elif demand < self.factors["order_quantity"]: - grad_profit_order_quantity = (self.factors["salvage_price"] - - self.factors["purchase_price"]) - else: - grad_profit_order_quantity = np.nan + stockout_qty = [max(d - s, 0) for d, s in zip(demand, Finish_Goods)] + stockout = [1 if a > 0 else 0 for a in stockout_qty] # Compose responses and gradients. responses = {"profit": profit, "stockout_qty": stockout_qty, "stockout": stockout} - gradients = {response_key: - {factor_key: np.nan for factor_key in self.specifications} - for response_key in responses - } - gradients["profit"]["order_quantity"] = grad_profit_order_quantity + gradients = {response_key: {factor_key: np.nan for factor_key in self.specifications} for response_key in responses} return responses, gradients - -class DynamNV(RetaNV): - - def __init__(self, fixed_factors=None): - if fixed_factors is None: - fixed_factors = {} - self.name = "DynamNews" - self.factors = fixed_factors - self.specifications = { - "num_customer": { - "description": "number of customers. Only input if simulating dynamic NV", - "datatype": int, - "default": 5 - }, - "recourse_quantity": { - "description": "recourse order quantity per resource", - "datatype": list, # or int - "default": None - }, - "mu": { - "description": "mu for calculating Gumbel random variable", - "datatype": float, - "default": 1.0 - }, - "c_utility": { - "description": "constant of each product's utility", - "datatype": list, - "default": [5 + j for j in range(1, 6)] - } - } - super().__init__(fixed_factors) - - def check_customer(self): - return (self.factors["num_customer"] > 0) - - def check_recourse_quantity(self): - return (self.factors["recourse_quantity"] is None) - - def check_mu(self): - return (self.factors["mu"] is not None) - - def check_utility(self): - return (len(self.factors["c_utility"]) == self.factors["num_product"]) - - def replicate(self, rng_list): - """ - A method for dynamic newsvendor model. Customers purchase products according to their utility level. - """ - # Designate random number generator for generating a Gumbel random variable. - Gumbel_rng = rng_list[0] - # Compute Gumbel rvs for the utility of the products. - gumbel = np.zeros(((self.factors["num_customer"], self.factors["num_product"]))) - for t in range(self.factors["num_customer"]): - for j in range(self.factors["num_product"]): - gumbel[t][j] = Gumbel_rng.gumbelvariate(-self.factors["mu"] * np.euler_gamma, self.factors["mu"]) - # Compute utility for each product and each customer. - utility = np.zeros((self.factors["num_customer"], self.factors["num_product"] + 1)) - for t in range(self.factors["num_customer"]): - for j in range(self.factors["num_product"] + 1): - if j == 0: - utility[t][j] = 0 - else: - utility[t][j] = self.factors["c_utility"][j - 1] + gumbel[t][j - 1] - - # Initialize inventory. - inventory = np.copy(self.factors["order_quantity"]) - itembought = np.zeros(self.factors["num_customer"]) - - # Loop through customers - for t in range(self.factors["num_customer"]): - instock = np.where(inventory > 0)[0] - # Initialize the purchase option to be no-purchase. - itembought[t] = 0 - # Assign the purchase option to be the product that maximizes the utility. - for j in instock: - if utility[t][j + 1] > utility[t][int(itembought[t])]: - itembought[t] = j + 1 - if itembought[t] != 0: - inventory[int(itembought[t] - 1)] -= 1 - - numsold = self.factors["order_quantity"] - inventory - revenue = numsold * np.array(self.factors["sales_price"]) - salvage = inventory * self.factors["salvage_price"] - cost = self.factors["order_quantity"] * np.array(self.factors["pruchase_cost"]) + self.factors["order_cost"] - profit = revenue - cost + salvage - # Compose responses and gradients. - responses = {"profit": np.sum(profit), "n_prod_stockout": np.sum(inventory == 0)} - gradients = {response_key: - {factor_key: np.nan for factor_key in self.specifications} - for response_key in responses - } - return responses, gradients """ Summary @@ -568,7 +349,7 @@ class CntNVMaxProfit(Problem): -------- base.Problem """ - def __init__(self, name="CNTNEWS-1", fixed_factors=None, model_fixed_factors=None): + def __init__(self, name="CNTNEWS", fixed_factors=None, model_fixed_factors=None): if fixed_factors is None: fixed_factors = {} if model_fixed_factors is None: @@ -578,22 +359,31 @@ def __init__(self, name="CNTNEWS-1", fixed_factors=None, model_fixed_factors=Non self.n_objectives = 1 self.n_stochastic_constraints = 0 self.minmax = (1,) - self.constraint_type = "box" - self.variable_type = "continuous" + self.constraint_type = "deterministic" + self.variable_type = "discrete" self.lower_bounds = (0,) self.upper_bounds = (np.inf,) self.gradient_available = True self.optimal_value = None self.optimal_solution = None # (0.1878,) # TO DO: Generalize to function of factors. self.model_default_factors = { - "purchase_price": 5.0, - "sales_price": 9.0, - "salvage_price": 1.0, - "Burr_c": 2.0, + "num_resource": 5, + "num_product": 5, + "res_to_prod": list(np.identity(5)), + "purchase_cost": list(5 * np.ones(5)), + "recourse_cost": list(10 * np.ones(5)), + "process_cost": list(0.1 * np.ones(5)), + "order_cost": 0, + "purchase_yield": list(np.ones(5)), + "process_budget": 10000, + "sales_price": list(9 * np.ones(5)), + "salvage_price": list(np.ones(5)), + "Burr_c": 2.0, "Burr_k": 20.0 } self.model_decision_factors = {"order_quantity"} self.factors = fixed_factors + # insert purchase budget self.specifications = { "initial_solution": { "description": "initial solution", @@ -612,7 +402,9 @@ def __init__(self, name="CNTNEWS-1", fixed_factors=None, model_fixed_factors=Non } super().__init__(fixed_factors, model_fixed_factors) # Instantiate model with fixed factors and overwritten defaults. - self.model = Problem(self.model_fixed_factors) + self.model = CntNV(self.model_fixed_factors) + + def vector_to_factor_dict(self, vector): """ From 7b905647fec961779194f962f11a5d655ac8d30c Mon Sep 17 00:00:00 2001 From: mstrmnd1 Date: Mon, 1 May 2023 13:55:26 -0500 Subject: [PATCH 4/5] Added factors; fixed IP bug --- .vscode/settings.json | 3 + demo/demo_model.py | 2 +- demo/demo_problem.py | 4 +- demo/demo_problem_solver.py | 8 +- docs/cntnv.rst | 170 +++++++++++-- docs/simopt.models.rst | 8 + ...NDSRCH_on_CNTNEWS-1_experiment_results.txt | 230 +++++------------- .../outputs/RNDSRCH_on_CNTNEWS-1.pickle | Bin 35177 -> 85876 bytes ...TNEWS-1_0.9_quantile_prog_curve_unnorm.png | Bin 40586 -> 46828 bytes ...ET_on_CNTNEWS-1_all_prog_curves_unnorm.png | Bin 31911 -> 28582 bytes ...R_SET_on_CNTNEWS-1_cdf_0.1_solve_times.png | Bin 43335 -> 42972 bytes ...ET_on_CNTNEWS-1_mean_prog_curve_unnorm.png | Bin 42499 -> 47038 bytes simopt/models/cntnv.py | 230 ++++++++---------- 13 files changed, 314 insertions(+), 341 deletions(-) create mode 100644 .vscode/settings.json diff --git a/.vscode/settings.json b/.vscode/settings.json new file mode 100644 index 000000000..a7d0fc7b7 --- /dev/null +++ b/.vscode/settings.json @@ -0,0 +1,3 @@ +{ + "esbonio.sphinx.confDir": "" +} \ No newline at end of file diff --git a/demo/demo_model.py b/demo/demo_model.py index 204076882..2dbf095be 100644 --- a/demo/demo_model.py +++ b/demo/demo_model.py @@ -30,7 +30,7 @@ # Working example for MM1 model. # ----------------------------------------------- from simopt.models.cntnv import CntNV -fixed_factors = {} +fixed_factors = {"order_quantity": [70, 90, 500, 600, 200]} mymodel = CntNV(fixed_factors) # ----------------------------------------------- diff --git a/demo/demo_problem.py b/demo/demo_problem.py index 57145a36d..11b2f09af 100644 --- a/demo/demo_problem.py +++ b/demo/demo_problem.py @@ -43,9 +43,9 @@ # Working example for CntNVMaxProfit problem. # ----------------------------------------------- from simopt.models.cntnv import CntNVMaxProfit -fixed_factors = {"initial_solution": (2,), "budget": 500} +fixed_factors = {} myproblem = CntNVMaxProfit(fixed_factors=fixed_factors) -x = (3,) +x = (5, 5, 5, 5, 5) mysolution = Solution(x, myproblem) # ----------------------------------------------- diff --git a/demo/demo_problem_solver.py b/demo/demo_problem_solver.py index dc44f4ae5..382534b57 100644 --- a/demo/demo_problem_solver.py +++ b/demo/demo_problem_solver.py @@ -36,10 +36,10 @@ print(f"Results will be stored as {file_name_path}.") # Initialize an instance of the experiment class. -myexperiment = ProblemSolver(solver_name, problem_name) +myexperiment = ProblemSolver(solver_name, problem_name, solver_fixed_factors={"sample_size": 10}) # Run a fixed number of macroreplications of the solver on the problem. -myexperiment.run(n_macroreps=20) +myexperiment.run(n_macroreps=5) # If the solver runs have already been performed, uncomment the # following pair of lines (and uncommmen the myexperiment.run(...) @@ -48,9 +48,9 @@ print("Post-processing results.") # Run a fixed number of postreplications at all recommended solutions. -myexperiment.post_replicate(n_postreps=200) +myexperiment.post_replicate(n_postreps=100) # Find an optimal solution x* for normalization. -post_normalize([myexperiment], n_postreps_init_opt=200) +post_normalize([myexperiment], n_postreps_init_opt=100) # Log results. myexperiment.log_experiment_results() diff --git a/docs/cntnv.rst b/docs/cntnv.rst index 8fb8f3931..021bcbb02 100644 --- a/docs/cntnv.rst +++ b/docs/cntnv.rst @@ -5,45 +5,155 @@ Model: Continuous Newsvendor Problem (CNTNV) Description: ------------ -A vendor orders a fixed quantity of liquid at the beginning of a day to be -sold to customers throughout the day. The vendor pays a per-unit order cost -:math:`c` for the initial inventory and sells it the product to customers at a per-unit price -:math:`s`. At the end of the day, any unsold liquid can be salvaged at a per-unit price, :math:`w`. +A vendor orders a fixed quantity of materials at the beginning of a day. A per-unit-material +cost :math:`c_{m}` is assessed for each type of material. As the demand is observed, the vendor +optionally orders recourse material at a premium price :math:`c_{r}` and processes all materials +into a variety of finished goods in a manner that maximizes profit. The finished goods are sold +to customers at price :math:`p_{s}`. At the end of the day, any unprocessed materials can be +salvaged at price :math:`p_{v}`. Sources of Randomness: ---------------------- -Each day's random demand for liquid product follows Burr Type XII distribution and is denoted by :math:`D`. -The parameters of the Burr Type XII distribution are :math:`α` and :math:`β` so that its cumulative -distribution function is given by :math:`F(x) = 1 - (1+x^α)^{-β}` where :math:`x, α,` and -:math:`β` are all positive. +Each day's random demand for discrete product quantities follows Exponential distribution and is denoted +by :math:`D`. The parameters of the Exponential distribution is :math:`µ`. Its cumulative +distribution function is given by :math:`F(x) = 1 - exp(-x/µ)}` where :math:`x` and +:math:`µ` are positive. Model Factors: -------------- -* Cost (:math:`c`): The price at which the newsvendor purchases one unit volume of liquid. +* num_material (:math:`n_{m}`): The number of material types. - * Default: 5 + * Default: 4 -* Price (:math:`s`): The price at which the newsvendor sells one unit volume of liquid. +* num_product (:math:`n_{p}`): The number of product types. - * Default: 9 + * Default: 3 -* Salvage Price (:math:`w`): The price at which any unsold liquid is sold for salvage. +* mat_to_prod (:math:`A`): :math:`n_{p}` by :math:`n_{m}` matrix, mapping :math:`n_{m}` materials to :math:`n_{p}` products. - * Default: 1 + * Default: [[1, 2, 1, 3], [1, 1, 3, 1], [2, 0, 4, 1]] -* Alpha (:math:`α`): Parameter for the demand distribution. +* material_cost (:math:`c_{m}`): Purchasing cost per material unit. :math:`n_{m}` sized array. - * Default: 2 + * Default: [1, 1, 1, 1] -* Beta (:math:`β`): Parameter for the demand distribution. +* recourse_cost (:math:`c_{r}`): Recourse purchasing cost per material unit. :math:`n_{m}` sized array. + + * Default: [2, 2, 2, 2] + +* process_cost (:math:`c_{p}`): Processing cost per product unit. :math:`n_{p}` sized array. + + * Default: [0.1, 0.1, 0.1, 0.1, 0.1] + +* order_cost (:math:`c_{o}`): Fixed one-time ordering cost. * Default: 20 -* Quantity of Liquid (:math:`x`): Amount (volume) of liquid ordered at the beginning of the day. +* purchase_yield (:math:`Y`): Yield rates for initially purchased materials. :math:`n_{m}` sized array. + + * Default: [0.9, 0.9, 0.9, 0.9, 0.9] + +* total_budget (:math:`b`): Total budget for all materials, processing, ordering and recourse purchases. + + * Default: 600 + +* sales_price (:math:`p_{s}`): Sales price per product unit. :math:`n_{p}` sized array. + + * Default: [12, 12, 12] + +* salvage_price (:math:`p_{v}`): Salvage price per material unit. :math:`n_{m}` sized array. + + * Default: [0.6, 0.6, 0.6, 0.6] + +* order_quantity (:math:`x`): Initial order quantity per material. :math:`n_{m}` sized array. + + * Default: [20, 20, 20, 20] + +* exp_mean (:math:`µ`): Mean parameter for demand's exponential distribution. :math:`n_{p}` sized array. + + * Default: [15, 15, 15] + +Model variations: +---------------------- + +This newsvendor model is adaptable to various cases of the traditional model. Adjustment of +model factors is necessary if simulating a particular case. + +1) Retail vendor (traditonal): + + The newsvendor purchases products and sells them directly to the customers. There + is no production involved. The decision variable in this problem is order quantity + of *products*. This variation is subject to below factor settings and intepretations: - * Default: 0.5 + * :math:`n_{m}` = :math:`n_{p}` (there can be multiple products) + * :math:`A` = identity matrix of size :math:`n_{p}` + * :math:`c_{m}` = cost of each product type + * :math:`c_{r}` = recourse cost of each product type + * :math:`p_{v}` = salvage price of each product type + * :math:`Y` = yield rates of each product type + +2) Factory vendor: + + Initially, the newsvendor purchases materials instead of products. After demand is + observed, materials are processed into products. This is done using an integer program + with an objective of maximizing profit. Additionally, in this variation, materials + can be salvaged but products can not be salvaged. The decision variable in this problem + is order quantity of *materials*. This variation is subject to below factor settings + and intepretations: + + * :math:`n_{m}` :math:`⊥` :math:`n_{p}`. Independence between the number of materials and the number of products + * :math:`A` = Resource requirements to produce each product. :math:`n_{p}` by :math:`n_{m}` matrix. + +3) Multi-product: + + Either in a factory vendor or retail vendor setting, there can exist multiple products + to be procured/produced and sold to customers. Previous constraints from retail or factory + models still hold. This variation is subject to below factor settings and intepretations: + + * :math:`n_{p}` > 1 + * len(:math:`c_{p}`) > 1 + * len(:math:`p_{s}`) > 1 + +4) Single-product: + + Similarly, a factory vendor or a retail vendor can sell one product only. Note that a single- + product retail vendor presents the same senario as the traditional newsvendor problem. A single- + product factory vendor can have multiple materials or one single material, in which case it will + behave as the traditional newsvendor problem. This variation is subject to below factor settings + and intepretations: + + * :math:`n_{p}` = 1 + * :math:`c_{p}` still exists as an array. len(:math:`c_{p}`) = 1. + * :math:`p_{s}` still exists as an array. len(:math:`p_{s}`) = 1. + * :math:`µ` stil exists as an array. len(:math:`µ`) = 1. + + In other words, the factors' datatype should not alter, regardless of the model being the + multi-product/single-product or retail/factory. + +5) Recourse: + + The recourse case does not change the nature of newsvendor's operations. It is an additional + feature can co-exist with all previous variations of the model. Recourse refers to the newsvendor's + decision to procure materials/products after demand is observed. Economically speaking, a vendor + would chooses to do so only if the return is worth the premium prices paid for the recourse. + + In the retail newsvendor setting, the recourse refers to product recourse. + + In the factory newsvendor setting, the recourse refers to material recourse. + + In either case, len(:math:`c_{r}`) = :math:`n_{m}`. + +6) Random yield: + + This case refers to indepedent yields of procurement. Such applies to material in the factory + newsvendor and products in the retail newsvendor. The randomness of yields comes from a binomial + distribution using a random number generator. Yield rates (in array form) are inputed as a model + factor. This variation is subject to below factor setting: + + * len(:math:`Y`) = :math:`n_{m}` + * 0 < :math:`Y_{i}` <= 1, for all :math:`Y_{i}` in :math:`Y`. Responses: ---------- @@ -57,6 +167,13 @@ Evan L. Porteus. Stochastic inventory theory. In D. P. Heyman and M. J. Sobel, e Stochastic Models, volume 2 of Handbooks in Operations Research and Management Science, chapter 12, pages 605–652. Elsevier, New York, 1990. +Gallego, G., & Moon, I. (1993). The distribution free newsboy problem: Review and extensions. +The Journal of the Operational Research Society, 44(8), 825. +https://doi.org/10.2307/2583894 + +Ding, X., Puterman, M. L., & Bisi, A. (2002). The censored Newsvendor and the optimal +acquisition of Information. Operations Research, 50(3), 517–527. +https://doi.org/10.1287/opre.50.3.517.7752 Optimization Problem: Maximize Profit ===================================== @@ -64,7 +181,7 @@ Optimization Problem: Maximize Profit Decision Variables: ------------------- -* Quantity of Liquid (:math:`x`): Amount (volume) of liquid ordered at the beginning of the day. +* order_quantity (:math:`x`): Amount of raw material to be purchased at the beginning of the day. :math:`n_{m}` sized array. Objectives: ----------- @@ -74,14 +191,16 @@ Maximizes the vendor's expected profit. Constraints: ------------ -Quantity of Liquid must be non-negative: :math:`x > 0` +order_quantity must be an array of non-negative integers + +* :math:`x_{i}` >= 0, for all :math:`x_{i}` in :math:`x`. Problem Factors: ---------------- * Budget: Max # of replications for a solver to take. - * Default: 1000 + * Default: 3000 Fixed Model Factors: -------------------- @@ -91,7 +210,7 @@ Fixed Model Factors: Starting Solution: ------------------ -* :math:`x = 0` +* [40, 40, 100, 60] Random Solutions: @@ -102,10 +221,9 @@ If random solutions are needed, generate :math:`x` from an Exponential distribut Optimal Solution: ----------------- -Global minimum at :math:`x^* = (1/((1-r)^{1/β})-1)^{1/α}`. -For the default factors, the optimal solution is :math:`x^*` = 0.1878. +* [107, 68, 226, 129] Optimal Objective Function Value: --------------------------------- -For the default factors, the maximum expected profit is 0.4635. +For the default factors, the maximum expected profit is 243.6 diff --git a/docs/simopt.models.rst b/docs/simopt.models.rst index 8fd61c4ae..9c6c89937 100644 --- a/docs/simopt.models.rst +++ b/docs/simopt.models.rst @@ -52,6 +52,14 @@ simopt.models.dynamnews module :undoc-members: :show-inheritance: +simopt.models.example module +---------------------------- + +.. automodule:: simopt.models.example + :members: + :undoc-members: + :show-inheritance: + simopt.models.facilitysizing module ----------------------------------- diff --git a/experiments/logs/RNDSRCH_on_CNTNEWS-1_experiment_results.txt b/experiments/logs/RNDSRCH_on_CNTNEWS-1_experiment_results.txt index 599d32a6f..b503d8321 100644 --- a/experiments/logs/RNDSRCH_on_CNTNEWS-1_experiment_results.txt +++ b/experiments/logs/RNDSRCH_on_CNTNEWS-1_experiment_results.txt @@ -3,196 +3,78 @@ Problem: CNTNEWS-1 Solver: RNDSRCH Model Factors: - purchase_price: 5.0 - sales_price: 9.0 - salvage_price: 1.0 - Burr_c: 2.0 - Burr_k: 20.0 + num_material: 4 + num_product: 3 + mat_to_prod: [[1, 2, 1, 3], [1, 1, 3, 1], [2, 0, 4, 1]] + material_cost: [1.0, 1.0, 1.0, 1.0] + recourse_cost: [2.0, 2.0, 2.0, 2.0] + process_cost: [0.1, 0.1, 0.1] + order_cost: 20 + purchase_yield: [0.9, 0.9, 0.9, 0.9] + total_budget: 600 + sales_price: [12.0, 12.0, 12.0] + salvage_price: [0.6, 0.6, 0.6, 0.6] + exp_mean: [15.0, 15.0, 15.0] Problem Factors: - initial_solution: (0,) - budget: 1000 + initial_solution: [40, 40, 100, 60] + budget: 3000 Solver Factors: - crn_across_solns: True sample_size: 10 + crn_across_solns: True -20 macroreplications were run. -200 postreplications were run at each recommended solution. +5 macroreplications were run. +100 postreplications were run at each recommended solution. -The initial solution is (0,). Its estimated objective is 0.0. -The proxy optimal solution is (0.1878,). Its estimated objective is 0.5103. -200 postreplications were taken at x0 and x_star. +The initial solution is (40, 40, 100, 60). Its estimated objective is 220.2283. +The proxy optimal solution is (107.0, 68.0, 226.0, 129.0). Its estimated objective is 243.6047. +100 postreplications were taken at x0 and x_star. Macroreplication Results: Macroreplication 1: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 50 Recommended Solution: (0.3221,) Estimated Objective: 0.2437 - Budget: 110 Recommended Solution: (0.1352,) Estimated Objective: 0.4186 - Budget: 810 Recommended Solution: (0.176,) Estimated Objective: 0.448 - Budget: 990 Recommended Solution: (0.2143,) Estimated Objective: 0.4307 - Budget: 1000 Recommended Solution: (0.2143,) Estimated Objective: 0.4307 - The time taken to complete this macroreplication was 0.07 s. + Budget: 0 Recommended Solution: (40, 40, 100, 60) Estimated Objective: 215.6033 + Budget: 40 Recommended Solution: (75.0, 183.0, 128.0, 75.0) Estimated Objective: 213.7303 + Budget: 290 Recommended Solution: (82.0, 161.0, 176.0, 156.0) Estimated Objective: 211.3477 + Budget: 340 Recommended Solution: (65.0, 55.0, 132.0, 73.0) Estimated Objective: 250.359 + Budget: 1720 Recommended Solution: (86.0, 23.0, 182.0, 69.0) Estimated Objective: 242.0447 + Budget: 3000 Recommended Solution: (86.0, 23.0, 182.0, 69.0) Estimated Objective: 242.0447 + The time taken to complete this macroreplication was 133.76 s. Macroreplication 2: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 20 Recommended Solution: (0.0336,) Estimated Objective: 0.1338 - Budget: 30 Recommended Solution: (0.2044,) Estimated Objective: 0.5023 - Budget: 820 Recommended Solution: (0.1986,) Estimated Objective: 0.505 - Budget: 1000 Recommended Solution: (0.1986,) Estimated Objective: 0.505 - The time taken to complete this macroreplication was 0.04 s. + Budget: 0 Recommended Solution: (40, 40, 100, 60) Estimated Objective: 221.1457 + Budget: 40 Recommended Solution: (125.0, 170.0, 117.0, 167.0) Estimated Objective: 177.1307 + Budget: 180 Recommended Solution: (82.0, 74.0, 269.0, 112.0) Estimated Objective: 251.3603 + Budget: 320 Recommended Solution: (181.0, 77.0, 153.0, 110.0) Estimated Objective: 232.1407 + Budget: 430 Recommended Solution: (73.0, 80.0, 192.0, 122.0) Estimated Objective: 268.9603 + Budget: 470 Recommended Solution: (129.0, 85.0, 137.0, 136.0) Estimated Objective: 249.016 + Budget: 1220 Recommended Solution: (80.0, 138.0, 143.0, 91.0) Estimated Objective: 251.7233 + Budget: 2400 Recommended Solution: (101.0, 71.0, 110.0, 123.0) Estimated Objective: 261.2567 + Budget: 3000 Recommended Solution: (101.0, 71.0, 110.0, 123.0) Estimated Objective: 261.2567 + The time taken to complete this macroreplication was 133.97 s. Macroreplication 3: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 20 Recommended Solution: (0.0689,) Estimated Objective: 0.2616 - Budget: 130 Recommended Solution: (0.2153,) Estimated Objective: 0.4271 - Budget: 1000 Recommended Solution: (0.2153,) Estimated Objective: 0.4271 - The time taken to complete this macroreplication was 0.04 s. + Budget: 0 Recommended Solution: (40, 40, 100, 60) Estimated Objective: 228.7317 + Budget: 110 Recommended Solution: (122.0, 90.0, 74.0, 110.0) Estimated Objective: 237.278 + Budget: 260 Recommended Solution: (55.0, 101.0, 107.0, 147.0) Estimated Objective: 240.694 + Budget: 400 Recommended Solution: (107.0, 68.0, 226.0, 129.0) Estimated Objective: 278.102 + Budget: 930 Recommended Solution: (51.0, 114.0, 129.0, 111.0) Estimated Objective: 255.8127 + Budget: 1470 Recommended Solution: (63.0, 57.0, 138.0, 164.0) Estimated Objective: 263.5507 + Budget: 3000 Recommended Solution: (63.0, 57.0, 138.0, 164.0) Estimated Objective: 263.5507 + The time taken to complete this macroreplication was 136.65 s. Macroreplication 4: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 60 Recommended Solution: (0.1423,) Estimated Objective: 0.4584 - Budget: 80 Recommended Solution: (0.1985,) Estimated Objective: 0.4999 - Budget: 830 Recommended Solution: (0.1998,) Estimated Objective: 0.4997 - Budget: 1000 Recommended Solution: (0.1998,) Estimated Objective: 0.4997 - The time taken to complete this macroreplication was 0.06 s. + Budget: 0 Recommended Solution: (40, 40, 100, 60) Estimated Objective: 220.4617 + Budget: 30 Recommended Solution: (71.0, 74.0, 168.0, 148.0) Estimated Objective: 264.6983 + Budget: 1240 Recommended Solution: (101.0, 73.0, 145.0, 74.0) Estimated Objective: 269.1993 + Budget: 3000 Recommended Solution: (101.0, 73.0, 145.0, 74.0) Estimated Objective: 269.1993 + The time taken to complete this macroreplication was 134.59 s. Macroreplication 5: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 20 Recommended Solution: (0.0962,) Estimated Objective: 0.328 - Budget: 170 Recommended Solution: (0.1647,) Estimated Objective: 0.414 - Budget: 1000 Recommended Solution: (0.1647,) Estimated Objective: 0.414 - The time taken to complete this macroreplication was 0.04 s. - -Macroreplication 6: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 20 Recommended Solution: (0.3515,) Estimated Objective: 0.1751 - Budget: 100 Recommended Solution: (0.2854,) Estimated Objective: 0.3672 - Budget: 120 Recommended Solution: (0.088,) Estimated Objective: 0.3236 - Budget: 180 Recommended Solution: (0.1055,) Estimated Objective: 0.374 - Budget: 320 Recommended Solution: (0.1554,) Estimated Objective: 0.4634 - Budget: 1000 Recommended Solution: (0.1554,) Estimated Objective: 0.4634 - The time taken to complete this macroreplication was 0.04 s. - -Macroreplication 7: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 40 Recommended Solution: (0.2848,) Estimated Objective: 0.3506 - Budget: 60 Recommended Solution: (0.2603,) Estimated Objective: 0.3997 - Budget: 360 Recommended Solution: (0.2186,) Estimated Objective: 0.4617 - Budget: 640 Recommended Solution: (0.2395,) Estimated Objective: 0.4361 - Budget: 1000 Recommended Solution: (0.2395,) Estimated Objective: 0.4361 - The time taken to complete this macroreplication was 0.04 s. - -Macroreplication 8: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 20 Recommended Solution: (0.3076,) Estimated Objective: 0.2585 - Budget: 40 Recommended Solution: (0.126,) Estimated Objective: 0.4127 - Budget: 70 Recommended Solution: (0.1689,) Estimated Objective: 0.4576 - Budget: 290 Recommended Solution: (0.18,) Estimated Objective: 0.4562 - Budget: 1000 Recommended Solution: (0.18,) Estimated Objective: 0.4562 - The time taken to complete this macroreplication was 0.04 s. - -Macroreplication 9: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 20 Recommended Solution: (0.0839,) Estimated Objective: 0.299 - Budget: 30 Recommended Solution: (0.3159,) Estimated Objective: 0.2053 - Budget: 110 Recommended Solution: (0.184,) Estimated Objective: 0.4444 - Budget: 230 Recommended Solution: (0.1955,) Estimated Objective: 0.4406 - Budget: 280 Recommended Solution: (0.211,) Estimated Objective: 0.4297 - Budget: 1000 Recommended Solution: (0.211,) Estimated Objective: 0.4297 - The time taken to complete this macroreplication was 0.04 s. - -Macroreplication 10: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 20 Recommended Solution: (0.4531,) Estimated Objective: -0.2439 - Budget: 50 Recommended Solution: (0.0709,) Estimated Objective: 0.2583 - Budget: 100 Recommended Solution: (0.1869,) Estimated Objective: 0.4311 - Budget: 120 Recommended Solution: (0.2001,) Estimated Objective: 0.4276 - Budget: 260 Recommended Solution: (0.2638,) Estimated Objective: 0.3458 - Budget: 660 Recommended Solution: (0.2346,) Estimated Objective: 0.393 - Budget: 1000 Recommended Solution: (0.2346,) Estimated Objective: 0.393 - The time taken to complete this macroreplication was 0.04 s. - -Macroreplication 11: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 80 Recommended Solution: (0.3475,) Estimated Objective: 0.2333 - Budget: 100 Recommended Solution: (0.0604,) Estimated Objective: 0.2311 - Budget: 110 Recommended Solution: (0.2576,) Estimated Objective: 0.4471 - Budget: 200 Recommended Solution: (0.1665,) Estimated Objective: 0.4813 - Budget: 1000 Recommended Solution: (0.1665,) Estimated Objective: 0.4813 - The time taken to complete this macroreplication was 0.05 s. - -Macroreplication 12: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 40 Recommended Solution: (0.3284,) Estimated Objective: 0.1714 - Budget: 50 Recommended Solution: (0.1162,) Estimated Objective: 0.377 - Budget: 110 Recommended Solution: (0.1235,) Estimated Objective: 0.3902 - Budget: 570 Recommended Solution: (0.1603,) Estimated Objective: 0.4316 - Budget: 880 Recommended Solution: (0.142,) Estimated Objective: 0.4155 - Budget: 1000 Recommended Solution: (0.142,) Estimated Objective: 0.4155 - The time taken to complete this macroreplication was 0.04 s. - -Macroreplication 13: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 20 Recommended Solution: (0.4153,) Estimated Objective: -0.0834 - Budget: 40 Recommended Solution: (0.1806,) Estimated Objective: 0.4732 - Budget: 180 Recommended Solution: (0.2345,) Estimated Objective: 0.4486 - Budget: 410 Recommended Solution: (0.2097,) Estimated Objective: 0.4708 - Budget: 1000 Recommended Solution: (0.2097,) Estimated Objective: 0.4708 - The time taken to complete this macroreplication was 0.04 s. - -Macroreplication 14: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 90 Recommended Solution: (0.4495,) Estimated Objective: -0.1594 - Budget: 110 Recommended Solution: (0.4416,) Estimated Objective: -0.1297 - Budget: 120 Recommended Solution: (0.432,) Estimated Objective: -0.0941 - Budget: 130 Recommended Solution: (0.2455,) Estimated Objective: 0.441 - Budget: 470 Recommended Solution: (0.2396,) Estimated Objective: 0.4492 - Budget: 1000 Recommended Solution: (0.2396,) Estimated Objective: 0.4492 - The time taken to complete this macroreplication was 0.04 s. - -Macroreplication 15: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 40 Recommended Solution: (0.09,) Estimated Objective: 0.3166 - Budget: 190 Recommended Solution: (0.1766,) Estimated Objective: 0.4405 - Budget: 420 Recommended Solution: (0.176,) Estimated Objective: 0.4403 - Budget: 1000 Recommended Solution: (0.176,) Estimated Objective: 0.4403 - The time taken to complete this macroreplication was 0.04 s. - -Macroreplication 16: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 80 Recommended Solution: (0.2815,) Estimated Objective: 0.3508 - Budget: 160 Recommended Solution: (0.1904,) Estimated Objective: 0.4524 - Budget: 1000 Recommended Solution: (0.1904,) Estimated Objective: 0.4524 - The time taken to complete this macroreplication was 0.05 s. - -Macroreplication 17: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 20 Recommended Solution: (0.2564,) Estimated Objective: 0.3554 - Budget: 30 Recommended Solution: (0.2685,) Estimated Objective: 0.3295 - Budget: 1000 Recommended Solution: (0.2685,) Estimated Objective: 0.3295 - The time taken to complete this macroreplication was 0.04 s. - -Macroreplication 18: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 20 Recommended Solution: (0.1617,) Estimated Objective: 0.4272 - Budget: 290 Recommended Solution: (0.1379,) Estimated Objective: 0.41 - Budget: 530 Recommended Solution: (0.1508,) Estimated Objective: 0.4218 - Budget: 1000 Recommended Solution: (0.1508,) Estimated Objective: 0.4218 - The time taken to complete this macroreplication was 0.04 s. - -Macroreplication 19: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 20 Recommended Solution: (0.222,) Estimated Objective: 0.4764 - Budget: 250 Recommended Solution: (0.242,) Estimated Objective: 0.4545 - Budget: 270 Recommended Solution: (0.2557,) Estimated Objective: 0.4356 - Budget: 1000 Recommended Solution: (0.2557,) Estimated Objective: 0.4356 - The time taken to complete this macroreplication was 0.06 s. - -Macroreplication 20: - Budget: 0 Recommended Solution: (0,) Estimated Objective: 0.0 - Budget: 20 Recommended Solution: (0.0805,) Estimated Objective: 0.3047 - Budget: 40 Recommended Solution: (0.1932,) Estimated Objective: 0.4968 - Budget: 1000 Recommended Solution: (0.1932,) Estimated Objective: 0.4968 - The time taken to complete this macroreplication was 0.04 s. + Budget: 0 Recommended Solution: (40, 40, 100, 60) Estimated Objective: 218.9047 + Budget: 60 Recommended Solution: (101.0, 120.0, 100.0, 187.0) Estimated Objective: 196.7773 + Budget: 80 Recommended Solution: (98.0, 22.0, 130.0, 163.0) Estimated Objective: 231.8167 + Budget: 100 Recommended Solution: (75.0, 51.0, 208.0, 142.0) Estimated Objective: 251.711 + Budget: 3000 Recommended Solution: (75.0, 51.0, 208.0, 142.0) Estimated Objective: 251.711 + The time taken to complete this macroreplication was 123.44 s. diff --git a/experiments/outputs/RNDSRCH_on_CNTNEWS-1.pickle b/experiments/outputs/RNDSRCH_on_CNTNEWS-1.pickle index cf7bbd11458c6ebc510bec833b859472b416adb3..69fe5919b2aadc856a76c759e69d535976447f73 100644 GIT binary patch literal 85876 zcmeIbcVJZ2);@eF14s!a^cs5aoqz-a1Wrf@p@o`El7S?okw%w*)Nv@nPz9w62&nX` z5fA|ZMWk0L3W7*c5ES|LdG-w1k28Mvckf^CACvdK8Qj@rt!F)}?0w2)n&#)%a%jen ztz>F!LQ-;C1IwsnOG<2lB{3~L(wu6s+X{uGBt^zs5_%=YXIN6~^X#=J+Q-{#+47{y z23tADNcrEX4N}aB(MbuZ7IR8ejNMi+6#v;v{^#q_xf9I^V)DG9!JT@A`ggV4ypkg0 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z64JrQWJ%qX;)6UyoJ6OS2Vye|gRt8W4VpXj+7>Y}9eG`7L%1ENo28*_EGdbCITc1i z%vgJgAuf*!mpnjBJQ+1GSR|fAF#bkiDUER?9@VxAfrAGR?%u%34~_!9mIjjCjVF`P zrJ|NV$D}|g&Uhu*CC%}`U);% zq2zW?5c-z*tIv~?k|J)c$ZePJf!2Xv#hVw?&T{v0Av~JJ zak0BM0Cp20AR2^t942|@_x+Y|5&cqg(1<>x6fkq 0) + def check_num_material(self): + return (self.factors["num_material"] > 0) def check_num_product(self): return (self.factors["num_product"] > 0) - def check_res_to_prod(self): - return (np.shape(self.factors["res_to_prod"])[0] == self.factors["num_product"]) and (np.shape(self.factors["res_to_prod"])[1] == self.factors["num_resource"]) + def check_mat_to_prod(self): + return (np.shape(self.factors["mat_to_prod"])[0] == self.factors["num_product"]) and (np.shape(self.factors["mat_to_prod"])[1] == self.factors["num_material"]) - def check_purchase_cost(self): - return all(np.array(self.factors["purchase_cost"]) > 0) and (len(self.factors["purchase_cost"]) == self.factors["num_resource"]) + def check_material_cost(self): + return all(np.array(self.factors["material_cost"]) > 0) and (len(self.factors["material_cost"]) == self.factors["num_material"]) def check_recourse_cost(self): if self.factors["recourse_cost"] is not None: - return all(np.array(self.factors["recourse_cost"]) > 0) and (len(self.factors["recourse_cost"]) == self.factors["num_resource"]) + return all(np.array(self.factors["recourse_cost"]) > 0) and (len(self.factors["recourse_cost"]) == self.factors["num_material"]) else: return True @@ -167,31 +157,25 @@ def check_order_cost(self): return (self.factors["order_cost"] >= 0) def check_purchase_yield(self): - return all(np.array(self.factors["purchase_yield"]) <= 1) and (len(self.factors["purchase_yield"]) == self.factors["num_resource"]) - - def check_process_budget(self): - return (self.factors["process_budget"] > 0) - - def check_purchase_budget(self): - return (np.dot(self.factors["order_quantity"], self.factors["purchase_cost"]) <= self.factors["purchase_budget"]) + return all(np.array(self.factors["purchase_yield"]) <= 1) and (len(self.factors["purchase_yield"]) == self.factors["num_material"]) + + def check_total_budget(self): + return (np.dot(self.factors["order_quantity"], self.factors["material_cost"]) <= self.factors["total_budget"]) def check_sales_price(self): - return all(np.array(self.factors["sales_price"]) > 0) + return all(np.array(self.factors["sales_price"]) > 0) and (len(self.factors["sales_price"]) == self.factors["num_product"]) def check_salvage_price(self): - return all(np.array(self.factors["salvage_price"]) > 0) + return all(np.array(self.factors["salvage_price"]) >= 0) and (len(self.factors["salvage_price"]) == self.factors["num_material"]) def check_order_quantity(self): - return all(np.array(self.factors["order_quantity"]) > 0) and (len(self.factors["order_quantity"]) == self.factors["num_resource"]) - - def check_Burr_c(self): - return self.factors["Burr_c"] > 0 + return all(np.array(self.factors["order_quantity"]) > 0) and (len(self.factors["order_quantity"]) == self.factors["num_material"]) - def check_Burr_k(self): - return self.factors["Burr_k"] > 0 + def check_exp_mean(self): + return all(np.array(self.factors["exp_mean"]) > 0) and (len(self.factors["exp_mean"]) == self.factors["num_product"]) def check_simulatable_factors(self): - return all((self.factors["sales_price"] - np.dot(self.factors["res_to_prod"], self.factors["purchase_cost"])) > 0) + return all((self.factors["sales_price"] - np.dot(self.factors["mat_to_prod"], self.factors["material_cost"])) > 0) def replicate(self, rng_list): """ @@ -210,63 +194,53 @@ def replicate(self, rng_list): "stockout_qty" = amount by which demand exceeded supply "stockout" = was there unmet demand? (Y/N) """ + # Replace with Poisson; independent demand + # Designate random number generator for demand variability. demand_rng = rng_list[0] - # Generate random demand according to Burr Type XII distribution. - # If U ~ Uniform(0,1) and the Burr Type XII has parameters c and k, - # X = ((1-U)**(-1/k - 1))**(1/c) has the desired distribution. demand = [] for i in range(self.factors["num_product"]): - base = ((1 - demand_rng.random())**(-1 / self.factors["Burr_k"]) - 1) - exponent = (1 / self.factors["Burr_c"]) - unit_demand = base**exponent - demand.append(unit_demand) - print(demand) - # Generate binomial random variate for initial resource levels based on yield rates - stock_resource = [] - for i in range(self.factors["num_resource"]): - stock_resource.append(np.random.binomial(self.factors["order_quantity"], self.factors["purchase_yield"])) + unit_demand = -np.log(1 - demand_rng.random()) * (self.factors["exp_mean"])[i] + demand.append(int(np.ceil(unit_demand))) + + # Generate binomial random variate for initial material levels based on yield rates + stock_material = [sum([1 for i in range(int(n)) if demand_rng.random() < p]) for p, n in zip(self.factors["purchase_yield"], self.factors["order_quantity"])] # define IP problem for production of goods to fulfill realized demand """ X: amount of products produced for each product type - Y: recourse quantity for each resource type - Objective: maximize profit => sum(product sales) - sum(material cost) - sum(process cost) - sum(recourse cost) + Y: recourse quantity for each material type + Objective: maximize profit => sum(product sales) - sum(process cost) - sum(recourse cost) """ X = pulp.LpVariable.dicts("X", range(self.factors["num_product"]), lowBound=0, cat='Integer') - Y = pulp.LpVariable.dicts("Y", range(self.factors["num_resource"]), lowBound=0, cat='Integer') + Y = pulp.LpVariable.dicts("Y", range(self.factors["num_material"]), lowBound=0, cat='Integer') prob = pulp.LpProblem("Integer_Program", pulp.LpMaximize) - prob += pulp.lpSum([self.factors["sales_price"][i]*X[i] for i in range(self.factors["num_product"])]) - \ - pulp.lpSum([X[i]*(np.dot(self.factors["res_to_prod"], self.factors["purchase_cost"]))[i] for i in range(self.factors["num_product"])]) - \ + prob += pulp.lpSum(self.factors["sales_price"][i]*X[i] for i in range(self.factors["num_product"])) - \ pulp.lpSum([X[i]*self.factors["process_cost"][i] for i in range(self.factors["num_product"])]) - \ - pulp.lpSum([Y[i]*self.factors["recourse_cost"][i] for i in range(self.factors["num_resource"])]) - + pulp.lpSum([Y[i]*self.factors["recourse_cost"][i] for i in range(self.factors["num_material"])]) # Define constraints """ - C1: sum(process cost) <= process budget - C2: sum(rescourse cost) <= purchase budget - sum(initial resource cost) - C3: for each resource, the amount used <= (initial resource + recourse quantity) - C4: for each product, the amount produced <= demand + C1: sum(recourse cost) + sum(process cost) <= total budget - sum(initial material cost) + C2: for each material, the amount used <= (initial material + recourse quantity) """ - prob += pulp.lpSum([X[i]*self.factors["process_cost"][i] for i in range(self.factors["num_product"])]) <= self.factors["process_budget"] - prob += pulp.lpSum([Y[i]*self.factors["recourse_cost"][i] for i in range(self.factors["num_resource"])]) <= self.factors["purchase_budget"] - np.dot(self.factors["order_quantity"], self.factors["purchase_cost"]) - for j in range(self.factors["num_resource"]): - prob += pulp.lpSum([self.factors["res_to_prod"][i][j]*X[i] for i in range(self.factors["num_product"])]) <= stock_resource[j] + Y[j] + prob += (pulp.lpSum([Y[i]*self.factors["recourse_cost"][i] for i in range(self.factors["num_material"])]) + pulp.lpSum([X[i]*self.factors["process_cost"][i] for i in range(self.factors["num_product"])])) <= self.factors["total_budget"] - np.dot(self.factors["order_quantity"], self.factors["material_cost"]) + for j in range(self.factors["num_material"]): + prob += pulp.lpSum([self.factors["mat_to_prod"][i][j]*X[i] for i in range(self.factors["num_product"])]) <= stock_material[j] + Y[j] for i in range(self.factors["num_product"]): prob += X[i] <= demand[i] - prob.solve() + prob.solve(pulp.apis.PULP_CBC_CMD(msg=False)) # Results of IP Finish_Goods = np.array([pulp.value(X[i]) for i in range(self.factors["num_product"])]) - Recourse = np.array([pulp.value(Y[i]) for i in range(self.factors["num_resource"])]) - print("This is finished goods:", Finish_Goods) + Recourse = np.array([pulp.value(Y[i]) for i in range(self.factors["num_material"])]) + Inventory = np.array(self.factors["order_quantity"]) + Recourse - np.dot(np.linalg.pinv(self.factors["mat_to_prod"]), Finish_Goods) # Calculate profit. - total_cost = (np.dot(self.factors["order_quantity"], self.factors["purchase_cost"]) + \ + total_cost = (np.dot(self.factors["order_quantity"], self.factors["material_cost"]) + \ np.dot(Recourse, self.factors["recourse_cost"]) + \ np.dot(Finish_Goods, self.factors["process_cost"]) + \ self.factors["order_cost"]) sales_revenue = np.dot([min(s, d) for s, d in zip(Finish_Goods, demand)], self.factors["sales_price"]) - salvage_revenue = np.dot([max(s-d, 0) for s, d in zip(Finish_Goods, demand)], self.factors["salvage_price"]) + salvage_revenue = np.dot(Inventory, self.factors["salvage_price"]) profit = sales_revenue + salvage_revenue - total_cost stockout_qty = [max(d - s, 0) for d, s in zip(demand, Finish_Goods)] @@ -349,51 +323,33 @@ class CntNVMaxProfit(Problem): -------- base.Problem """ - def __init__(self, name="CNTNEWS", fixed_factors=None, model_fixed_factors=None): + def __init__(self, name="CNTNEWS-1", fixed_factors=None, model_fixed_factors=None): if fixed_factors is None: fixed_factors = {} if model_fixed_factors is None: model_fixed_factors = {} self.name = name - self.dim = 1 self.n_objectives = 1 self.n_stochastic_constraints = 0 self.minmax = (1,) self.constraint_type = "deterministic" self.variable_type = "discrete" - self.lower_bounds = (0,) - self.upper_bounds = (np.inf,) - self.gradient_available = True + self.gradient_available = False self.optimal_value = None - self.optimal_solution = None # (0.1878,) # TO DO: Generalize to function of factors. - self.model_default_factors = { - "num_resource": 5, - "num_product": 5, - "res_to_prod": list(np.identity(5)), - "purchase_cost": list(5 * np.ones(5)), - "recourse_cost": list(10 * np.ones(5)), - "process_cost": list(0.1 * np.ones(5)), - "order_cost": 0, - "purchase_yield": list(np.ones(5)), - "process_budget": 10000, - "sales_price": list(9 * np.ones(5)), - "salvage_price": list(np.ones(5)), - "Burr_c": 2.0, - "Burr_k": 20.0 - } + self.optimal_solution = None + self.model_default_factors = {} self.model_decision_factors = {"order_quantity"} self.factors = fixed_factors - # insert purchase budget self.specifications = { "initial_solution": { "description": "initial solution", "datatype": tuple, - "default": (0,) + "default": [40, 40, 100, 60] }, "budget": { "description": "max # of replications for a solver to take", "datatype": int, - "default": 1000 + "default": 3000 } } self.check_factor_list = { @@ -403,8 +359,10 @@ def __init__(self, name="CNTNEWS", fixed_factors=None, model_fixed_factors=None) super().__init__(fixed_factors, model_fixed_factors) # Instantiate model with fixed factors and overwritten defaults. self.model = CntNV(self.model_fixed_factors) - - + self.dim = self.model.factors["num_material"] + self.lower_bounds = (0,)*self.dim + self.upper_bounds = (np.inf,)*self.dim + def vector_to_factor_dict(self, vector): """ @@ -421,7 +379,7 @@ def vector_to_factor_dict(self, vector): dictionary with factor keys and associated values """ factor_dict = { - "order_quantity": vector[0] + "order_quantity": vector[:] } return factor_dict @@ -440,7 +398,7 @@ def factor_dict_to_vector(self, factor_dict): vector : tuple vector of values associated with decision variables """ - vector = (factor_dict["order_quantity"],) + vector = tuple(factor_dict["order_quantity"]) return vector def response_dict_to_objectives(self, response_dict): @@ -536,7 +494,7 @@ def check_deterministic_constraints(self, x): satisfies : bool indicates if solution `x` satisfies the deterministic constraints. """ - return x[0] > 0 + return super().check_deterministic_constraints(x) and (np.dot(x, self.model.factors["material_cost"]) < self.model.factors["total_budget"]) def get_random_solution(self, rand_sol_rng): """ @@ -553,5 +511,9 @@ def get_random_solution(self, rand_sol_rng): vector of decision variables """ # Generate an Exponential(rate = 1) r.v. - x = (rand_sol_rng.expovariate(1),) + x = (rand_sol_rng.continuous_random_vector_from_simplex(n_elements = self.model.factors["num_material"], + summation = self.model.factors["total_budget"], + exact_sum = False, + weights = self.model.factors["material_cost"])) + x = [np.floor(i) for i in x] return x From 6ce35c3bcc42b6656ab831ccccf6c303721580fe Mon Sep 17 00:00:00 2001 From: mstrmnd1 Date: Wed, 10 May 2023 18:07:53 -0500 Subject: [PATCH 5/5] finalized .rst file, formatting improvement used flake8 for formatting. reduced most issues. --- demo/demo_model.py | 2 +- demo/demo_problem.py | 2 +- demo/demo_problem_solver.py | 4 +- docs/cntnv.rst | 26 ++- ...NDSRCH_on_CNTNEWS-1_experiment_results.txt | 87 ++++---- .../outputs/RNDSRCH_on_CNTNEWS-1.pickle | Bin 85876 -> 36540 bytes ...TNEWS-1_0.9_quantile_prog_curve_unnorm.png | Bin 46828 -> 50692 bytes ...ET_on_CNTNEWS-1_all_prog_curves_unnorm.png | Bin 28582 -> 29874 bytes ...R_SET_on_CNTNEWS-1_cdf_0.1_solve_times.png | Bin 42972 -> 42577 bytes ...ET_on_CNTNEWS-1_mean_prog_curve_unnorm.png | Bin 47038 -> 49940 bytes simopt/models/cntnv.py | 192 ++++++++++++------ 11 files changed, 190 insertions(+), 123 deletions(-) diff --git a/demo/demo_model.py b/demo/demo_model.py index 2dbf095be..204076882 100644 --- a/demo/demo_model.py +++ b/demo/demo_model.py @@ -30,7 +30,7 @@ # Working example for MM1 model. # ----------------------------------------------- from simopt.models.cntnv import CntNV -fixed_factors = {"order_quantity": [70, 90, 500, 600, 200]} +fixed_factors = {} mymodel = CntNV(fixed_factors) # ----------------------------------------------- diff --git a/demo/demo_problem.py b/demo/demo_problem.py index 11b2f09af..f72df7dbd 100644 --- a/demo/demo_problem.py +++ b/demo/demo_problem.py @@ -45,7 +45,7 @@ from simopt.models.cntnv import CntNVMaxProfit fixed_factors = {} myproblem = CntNVMaxProfit(fixed_factors=fixed_factors) -x = (5, 5, 5, 5, 5) +x = (5, 5, 5, 5) mysolution = Solution(x, myproblem) # ----------------------------------------------- diff --git a/demo/demo_problem_solver.py b/demo/demo_problem_solver.py index 382534b57..fe2504a34 100644 --- a/demo/demo_problem_solver.py +++ b/demo/demo_problem_solver.py @@ -48,9 +48,9 @@ print("Post-processing results.") # Run a fixed number of postreplications at all recommended solutions. -myexperiment.post_replicate(n_postreps=100) +myexperiment.post_replicate(n_postreps=20) # Find an optimal solution x* for normalization. -post_normalize([myexperiment], n_postreps_init_opt=100) +post_normalize([myexperiment], n_postreps_init_opt=20) # Log results. myexperiment.log_experiment_results() diff --git a/docs/cntnv.rst b/docs/cntnv.rst index 021bcbb02..ef2d293f5 100644 --- a/docs/cntnv.rst +++ b/docs/cntnv.rst @@ -15,10 +15,10 @@ salvaged at price :math:`p_{v}`. Sources of Randomness: ---------------------- -Each day's random demand for discrete product quantities follows Exponential distribution and is denoted -by :math:`D`. The parameters of the Exponential distribution is :math:`µ`. Its cumulative -distribution function is given by :math:`F(x) = 1 - exp(-x/µ)}` where :math:`x` and -:math:`µ` are positive. +Each day's random demand for discrete product quantities follows Poisson distribution and +is denoted by :math:`D`. The parameters of the Poisson distribution is :math:`λ`. Its +cumulative distribution function is given by :math:`F(x; λ) = \sum_{k=0}^{x} \frac{e^{-λ}λ^k}{k!}` +where :math:`x` and :math:`λ` are positive. Model Factors: -------------- @@ -45,7 +45,7 @@ Model Factors: * process_cost (:math:`c_{p}`): Processing cost per product unit. :math:`n_{p}` sized array. - * Default: [0.1, 0.1, 0.1, 0.1, 0.1] + * Default: [0.1, 0.1, 0.1] * order_cost (:math:`c_{o}`): Fixed one-time ordering cost. @@ -53,7 +53,7 @@ Model Factors: * purchase_yield (:math:`Y`): Yield rates for initially purchased materials. :math:`n_{m}` sized array. - * Default: [0.9, 0.9, 0.9, 0.9, 0.9] + * Default: [0.9, 0.9, 0.9, 0.9] * total_budget (:math:`b`): Total budget for all materials, processing, ordering and recourse purchases. @@ -71,7 +71,7 @@ Model Factors: * Default: [20, 20, 20, 20] -* exp_mean (:math:`µ`): Mean parameter for demand's exponential distribution. :math:`n_{p}` sized array. +* poi_mean (:math:`λ`): Mean parameter for demand's poisson distribution. :math:`n_{p}` sized array. * Default: [15, 15, 15] @@ -127,7 +127,7 @@ model factors is necessary if simulating a particular case. * :math:`n_{p}` = 1 * :math:`c_{p}` still exists as an array. len(:math:`c_{p}`) = 1. * :math:`p_{s}` still exists as an array. len(:math:`p_{s}`) = 1. - * :math:`µ` stil exists as an array. len(:math:`µ`) = 1. + * :math:`λ` stil exists as an array. len(:math:`λ`) = 1. In other words, the factors' datatype should not alter, regardless of the model being the multi-product/single-product or retail/factory. @@ -139,12 +139,15 @@ model factors is necessary if simulating a particular case. decision to procure materials/products after demand is observed. Economically speaking, a vendor would chooses to do so only if the return is worth the premium prices paid for the recourse. + Recourse is disabled by default. In other words, its default input is None. + In the retail newsvendor setting, the recourse refers to product recourse. In the factory newsvendor setting, the recourse refers to material recourse. In either case, len(:math:`c_{r}`) = :math:`n_{m}`. + 6) Random yield: This case refers to indepedent yields of procurement. Such applies to material in the factory @@ -216,14 +219,15 @@ Starting Solution: Random Solutions: ----------------- -If random solutions are needed, generate :math:`x` from an Exponential distribution with mean 1. +If random solutions are needed, generate :math:`x` from continous_random_vector_from_simplex +function in mrg32k3a. Optimal Solution: ----------------- -* [107, 68, 226, 129] +* [82, 60, 144, 115] Optimal Objective Function Value: --------------------------------- -For the default factors, the maximum expected profit is 243.6 +For the default factors, the maximum expected profit is 343.19 \ No newline at end of file diff --git a/experiments/logs/RNDSRCH_on_CNTNEWS-1_experiment_results.txt b/experiments/logs/RNDSRCH_on_CNTNEWS-1_experiment_results.txt index b503d8321..f788edb8b 100644 --- a/experiments/logs/RNDSRCH_on_CNTNEWS-1_experiment_results.txt +++ b/experiments/logs/RNDSRCH_on_CNTNEWS-1_experiment_results.txt @@ -14,7 +14,7 @@ Model Factors: total_budget: 600 sales_price: [12.0, 12.0, 12.0] salvage_price: [0.6, 0.6, 0.6, 0.6] - exp_mean: [15.0, 15.0, 15.0] + poi_mean: [15.0, 15.0, 15.0] Problem Factors: initial_solution: [40, 40, 100, 60] @@ -25,56 +25,61 @@ Solver Factors: crn_across_solns: True 5 macroreplications were run. -100 postreplications were run at each recommended solution. +20 postreplications were run at each recommended solution. -The initial solution is (40, 40, 100, 60). Its estimated objective is 220.2283. -The proxy optimal solution is (107.0, 68.0, 226.0, 129.0). Its estimated objective is 243.6047. -100 postreplications were taken at x0 and x_star. +The initial solution is (40, 40, 100, 60). Its estimated objective is 276.9883. +The proxy optimal solution is (82, 60, 144, 115). Its estimated objective is 343.1883. +20 postreplications were taken at x0 and x_star. Macroreplication Results: Macroreplication 1: - Budget: 0 Recommended Solution: (40, 40, 100, 60) Estimated Objective: 215.6033 - Budget: 40 Recommended Solution: (75.0, 183.0, 128.0, 75.0) Estimated Objective: 213.7303 - Budget: 290 Recommended Solution: (82.0, 161.0, 176.0, 156.0) Estimated Objective: 211.3477 - Budget: 340 Recommended Solution: (65.0, 55.0, 132.0, 73.0) Estimated Objective: 250.359 - Budget: 1720 Recommended Solution: (86.0, 23.0, 182.0, 69.0) Estimated Objective: 242.0447 - Budget: 3000 Recommended Solution: (86.0, 23.0, 182.0, 69.0) Estimated Objective: 242.0447 - The time taken to complete this macroreplication was 133.76 s. + Budget: 0 Recommended Solution: (40, 40, 100, 60) Estimated Objective: 272.9633 + Budget: 40 Recommended Solution: (75, 183, 128, 75) Estimated Objective: 281.4267 + Budget: 340 Recommended Solution: (65, 55, 132, 73) Estimated Objective: 329.1833 + Budget: 3000 Recommended Solution: (65, 55, 132, 73) Estimated Objective: 329.1833 + The time taken to complete this macroreplication was 144.63 s. Macroreplication 2: - Budget: 0 Recommended Solution: (40, 40, 100, 60) Estimated Objective: 221.1457 - Budget: 40 Recommended Solution: (125.0, 170.0, 117.0, 167.0) Estimated Objective: 177.1307 - Budget: 180 Recommended Solution: (82.0, 74.0, 269.0, 112.0) Estimated Objective: 251.3603 - Budget: 320 Recommended Solution: (181.0, 77.0, 153.0, 110.0) Estimated Objective: 232.1407 - Budget: 430 Recommended Solution: (73.0, 80.0, 192.0, 122.0) Estimated Objective: 268.9603 - Budget: 470 Recommended Solution: (129.0, 85.0, 137.0, 136.0) Estimated Objective: 249.016 - Budget: 1220 Recommended Solution: (80.0, 138.0, 143.0, 91.0) Estimated Objective: 251.7233 - Budget: 2400 Recommended Solution: (101.0, 71.0, 110.0, 123.0) Estimated Objective: 261.2567 - Budget: 3000 Recommended Solution: (101.0, 71.0, 110.0, 123.0) Estimated Objective: 261.2567 - The time taken to complete this macroreplication was 133.97 s. + Budget: 0 Recommended Solution: (40, 40, 100, 60) Estimated Objective: 272.6417 + Budget: 20 Recommended Solution: (89, 47, 325, 74) Estimated Objective: 270.91 + Budget: 160 Recommended Solution: (95, 74, 234, 34) Estimated Objective: 274.925 + Budget: 180 Recommended Solution: (82, 74, 269, 112) Estimated Objective: 293.725 + Budget: 320 Recommended Solution: (181, 77, 153, 110) Estimated Objective: 298.05 + Budget: 430 Recommended Solution: (73, 80, 192, 122) Estimated Objective: 321.12 + Budget: 820 Recommended Solution: (68, 76, 162, 129) Estimated Objective: 330.675 + Budget: 3000 Recommended Solution: (68, 76, 162, 129) Estimated Objective: 330.675 + The time taken to complete this macroreplication was 141.34 s. Macroreplication 3: - Budget: 0 Recommended Solution: (40, 40, 100, 60) Estimated Objective: 228.7317 - Budget: 110 Recommended Solution: (122.0, 90.0, 74.0, 110.0) Estimated Objective: 237.278 - Budget: 260 Recommended Solution: (55.0, 101.0, 107.0, 147.0) Estimated Objective: 240.694 - Budget: 400 Recommended Solution: (107.0, 68.0, 226.0, 129.0) Estimated Objective: 278.102 - Budget: 930 Recommended Solution: (51.0, 114.0, 129.0, 111.0) Estimated Objective: 255.8127 - Budget: 1470 Recommended Solution: (63.0, 57.0, 138.0, 164.0) Estimated Objective: 263.5507 - Budget: 3000 Recommended Solution: (63.0, 57.0, 138.0, 164.0) Estimated Objective: 263.5507 - The time taken to complete this macroreplication was 136.65 s. + Budget: 0 Recommended Solution: (40, 40, 100, 60) Estimated Objective: 273.795 + Budget: 110 Recommended Solution: (122, 90, 74, 110) Estimated Objective: 289.3683 + Budget: 120 Recommended Solution: (71, 214, 160, 109) Estimated Objective: 299.9483 + Budget: 260 Recommended Solution: (55, 101, 107, 147) Estimated Objective: 286.8017 + Budget: 340 Recommended Solution: (75, 77, 178, 187) Estimated Objective: 316.7083 + Budget: 580 Recommended Solution: (37, 74, 155, 142) Estimated Objective: 318.6333 + Budget: 670 Recommended Solution: (69, 63, 255, 98) Estimated Objective: 325.8683 + Budget: 930 Recommended Solution: (51, 114, 129, 111) Estimated Objective: 317.3517 + Budget: 1130 Recommended Solution: (98, 28, 134, 111) Estimated Objective: 337.4483 + Budget: 1470 Recommended Solution: (63, 57, 138, 164) Estimated Objective: 333.0883 + Budget: 3000 Recommended Solution: (63, 57, 138, 164) Estimated Objective: 333.0883 + The time taken to complete this macroreplication was 142.0 s. Macroreplication 4: - Budget: 0 Recommended Solution: (40, 40, 100, 60) Estimated Objective: 220.4617 - Budget: 30 Recommended Solution: (71.0, 74.0, 168.0, 148.0) Estimated Objective: 264.6983 - Budget: 1240 Recommended Solution: (101.0, 73.0, 145.0, 74.0) Estimated Objective: 269.1993 - Budget: 3000 Recommended Solution: (101.0, 73.0, 145.0, 74.0) Estimated Objective: 269.1993 - The time taken to complete this macroreplication was 134.59 s. + Budget: 0 Recommended Solution: (40, 40, 100, 60) Estimated Objective: 274.22 + Budget: 20 Recommended Solution: (8, 40, 209, 128) Estimated Objective: 257.9117 + Budget: 30 Recommended Solution: (71, 74, 168, 148) Estimated Objective: 305.9567 + Budget: 1240 Recommended Solution: (101, 73, 145, 74) Estimated Objective: 318.2717 + Budget: 3000 Recommended Solution: (101, 73, 145, 74) Estimated Objective: 318.2717 + The time taken to complete this macroreplication was 145.11 s. Macroreplication 5: - Budget: 0 Recommended Solution: (40, 40, 100, 60) Estimated Objective: 218.9047 - Budget: 60 Recommended Solution: (101.0, 120.0, 100.0, 187.0) Estimated Objective: 196.7773 - Budget: 80 Recommended Solution: (98.0, 22.0, 130.0, 163.0) Estimated Objective: 231.8167 - Budget: 100 Recommended Solution: (75.0, 51.0, 208.0, 142.0) Estimated Objective: 251.711 - Budget: 3000 Recommended Solution: (75.0, 51.0, 208.0, 142.0) Estimated Objective: 251.711 - The time taken to complete this macroreplication was 123.44 s. + Budget: 0 Recommended Solution: (40, 40, 100, 60) Estimated Objective: 274.4983 + Budget: 80 Recommended Solution: (98, 22, 130, 163) Estimated Objective: 303.25 + Budget: 100 Recommended Solution: (75, 51, 208, 142) Estimated Objective: 322.99 + Budget: 1230 Recommended Solution: (84, 73, 111, 124) Estimated Objective: 325.09 + Budget: 1850 Recommended Solution: (86, 57, 189, 71) Estimated Objective: 338.19 + Budget: 2490 Recommended Solution: (86, 64, 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z0F0!gu+Ez^B~kH@et*)_=Ju>BKqzsTxoLPqOe_Wjw$1K|{7oIYG@$|!q<;^!&Kq1k zB1_1XU}uVrXN*G!Ik??hxNsrVYS?XmSDjjI(ER%GKu`5HQrav5Di>dTzZ6v6X61j3 z#lt1m@gnYsi;Jrae8aNi@HZt1CPm0(o^$4G@BAogXsQ!C8yi!AOI3DY%v!@R zQtb2@Gcxa=nazy14VHhJpWC_3`erA{+lno2S=pKqA)9tO7FZl`Xmb~nmzciB zBSpWJWb4$Ou>8iTmQ(J(E#Rw}0lg+9B-oR(*tqJM){%I1?p93K>RC%h<0hUV*eFeG z?Sl7RuU{|zK3jWxYq+CJ+mnr)3chS~CD@<`&6#4foS5qZzXtcWd);0C;6G}0epR+gk&6!cf*vncit0ez;sY+3o&fBGMw=>LC7 b|M2;PKmM@t(v0C+{LFW8cRuU*&wu|H!NW7f diff --git a/simopt/models/cntnv.py b/simopt/models/cntnv.py index 7e7b603fb..bd42ab944 100644 --- a/simopt/models/cntnv.py +++ b/simopt/models/cntnv.py @@ -2,12 +2,14 @@ Summary ------- Simulate a day's worth of sales for a newsvendor. -A detailed description of the model/problem can be found `here `_. +A detailed description of the model/problem can be found `here +`_. """ import numpy as np import pulp from ..base import Model, Problem + class CntNV(Model): """ A model that simulates a day's worth of sales for a newsvendor @@ -57,7 +59,7 @@ def __init__(self, fixed_factors=None): "default": 3 }, "mat_to_prod": { - "description": "P by R matrix mapping M materials to P products", + "description": "PxR matrix, mapping M material to P products", "datatype": list, "default": [[1, 2, 1, 3], [1, 1, 3, 1], @@ -86,10 +88,10 @@ def __init__(self, fixed_factors=None): "purchase_yield": { "description": "yield rate of purchased materials", "datatype": list, - "default": list(0.9* np.ones(4)) - }, + "default": list(0.9 * np.ones(4)) + }, "total_budget": { - "description": "total budget for newsvendor's entire operations", + "description": "total budget for newsvendor's operation", "datatype": int, "default": 600 }, @@ -105,11 +107,11 @@ def __init__(self, fixed_factors=None): }, "order_quantity": { "description": "initial order quantity per material", - "datatype": list, + "datatype": list, "default": list(20 * np.ones(4)) }, - "exp_mean": { - "description": "Mean parameter for demand's exponential distribution", + "poi_mean": { + "description": "parameter for poisson demand distribution", "datatype": list, "default": list(15 * np.ones(3)) } @@ -127,56 +129,80 @@ def __init__(self, fixed_factors=None): "sales_price": self.check_sales_price, "salvage_price": self.check_salvage_price, "order_quantity": self.check_order_quantity, - "exp_mean": self.check_exp_mean + "poi_mean": self.check_poi_mean } # Set factors of the simulation model. super().__init__(fixed_factors) - + def check_num_material(self): return (self.factors["num_material"] > 0) - + def check_num_product(self): return (self.factors["num_product"] > 0) - + def check_mat_to_prod(self): - return (np.shape(self.factors["mat_to_prod"])[0] == self.factors["num_product"]) and (np.shape(self.factors["mat_to_prod"])[1] == self.factors["num_material"]) + return (np.shape(self.factors["mat_to_prod"])[0] == + self.factors["num_product"]) \ + and (np.shape(self.factors["mat_to_prod"])[1] == + self.factors["num_material"]) def check_material_cost(self): - return all(np.array(self.factors["material_cost"]) > 0) and (len(self.factors["material_cost"]) == self.factors["num_material"]) + return all(np.array(self.factors["material_cost"]) > 0) \ + and (len(self.factors["material_cost"]) == + self.factors["num_material"]) def check_recourse_cost(self): if self.factors["recourse_cost"] is not None: - return all(np.array(self.factors["recourse_cost"]) > 0) and (len(self.factors["recourse_cost"]) == self.factors["num_material"]) + return all(np.array(self.factors["recourse_cost"]) > 0) \ + and (len(self.factors["recourse_cost"]) == + self.factors["num_material"]) else: return True - + def check_process_cost(self): - return all(np.array(self.factors["process_cost"]) >= 0) and (len(self.factors["process_cost"]) == self.factors["num_product"]) - + return all(np.array(self.factors["process_cost"]) >= 0) \ + and (len(self.factors["process_cost"]) == + self.factors["num_product"]) + def check_order_cost(self): return (self.factors["order_cost"] >= 0) - + def check_purchase_yield(self): - return all(np.array(self.factors["purchase_yield"]) <= 1) and (len(self.factors["purchase_yield"]) == self.factors["num_material"]) - + return all(np.array(self.factors["purchase_yield"]) <= 1) \ + and (len(self.factors["purchase_yield"]) == + self.factors["num_material"]) + def check_total_budget(self): - return (np.dot(self.factors["order_quantity"], self.factors["material_cost"]) <= self.factors["total_budget"]) - + return (np.dot(self.factors["order_quantity"], self.factors["material_cost"]) + <= self.factors["total_budget"]) + def check_sales_price(self): - return all(np.array(self.factors["sales_price"]) > 0) and (len(self.factors["sales_price"]) == self.factors["num_product"]) + return all(np.array(self.factors["sales_price"]) > 0) \ + and (len(self.factors["sales_price"]) == + self.factors["num_product"]) def check_salvage_price(self): - return all(np.array(self.factors["salvage_price"]) >= 0) and (len(self.factors["salvage_price"]) == self.factors["num_material"]) + return all(np.array(self.factors["salvage_price"]) >= 0) \ + and (len(self.factors["salvage_price"]) == + self.factors["num_material"]) def check_order_quantity(self): - return all(np.array(self.factors["order_quantity"]) > 0) and (len(self.factors["order_quantity"]) == self.factors["num_material"]) + return all(np.array(self.factors["order_quantity"]) > 0) \ + and (len(self.factors["order_quantity"]) == + self.factors["num_material"]) \ + and (np.issubdtype(self.factors["order_quantity"].dtype, np.integer)) + + def check_poi_mean(self): + return all(np.array(self.factors["poi_mean"]) > 0) \ + and (len(self.factors["poi_mean"]) == + self.factors["num_product"]) \ + and (np.issubdtype(self.factors["poi_mean"].dtype, np.integer)) - def check_exp_mean(self): - return all(np.array(self.factors["exp_mean"]) > 0) and (len(self.factors["exp_mean"]) == self.factors["num_product"]) - def check_simulatable_factors(self): - return all((self.factors["sales_price"] - np.dot(self.factors["mat_to_prod"], self.factors["material_cost"])) > 0) - + return all((self.factors["sales_price"] - + np.dot(self.factors["mat_to_prod"], + self.factors["material_cost"])) > 0) + def replicate(self, rng_list): """ Simulate a single replication for the current model factors. @@ -194,60 +220,89 @@ def replicate(self, rng_list): "stockout_qty" = amount by which demand exceeded supply "stockout" = was there unmet demand? (Y/N) """ - # Replace with Poisson; independent demand # Designate random number generator for demand variability. demand_rng = rng_list[0] demand = [] for i in range(self.factors["num_product"]): - unit_demand = -np.log(1 - demand_rng.random()) * (self.factors["exp_mean"])[i] - demand.append(int(np.ceil(unit_demand))) - - # Generate binomial random variate for initial material levels based on yield rates - stock_material = [sum([1 for i in range(int(n)) if demand_rng.random() < p]) for p, n in zip(self.factors["purchase_yield"], self.factors["order_quantity"])] - + mul, n = np.exp(-(self.factors["poi_mean"])[i]), 0 + cdf, fact, power, u = mul, 1, 1, demand_rng.random() + while u > cdf: + n += 1 + fact, power = n*fact, power*(self.factors["poi_mean"])[i] + cdf += (power/fact)*mul + demand.append(n) + + # Generate binomial r.v for material levels based on yield rates + stock_material = [sum([1 for i in range(int(n)) + if demand_rng.random() < p]) + for p, n in zip(self.factors["purchase_yield"], + self.factors["order_quantity"])] + # If recourse cost is not specified, use an array of very large numbers + # This heuristically makes it impossible to buy any recourse material + if self.factors["recourse_cost"] is None: + self.factors["recourse_cost"] = [element * 10000 for + element in self.factors["material_cost"]] # define IP problem for production of goods to fulfill realized demand """ X: amount of products produced for each product type Y: recourse quantity for each material type - Objective: maximize profit => sum(product sales) - sum(process cost) - sum(recourse cost) + Objective: maximize profit => sum(sales) - sum(process cost) - sum(recourse cost) """ - X = pulp.LpVariable.dicts("X", range(self.factors["num_product"]), lowBound=0, cat='Integer') - Y = pulp.LpVariable.dicts("Y", range(self.factors["num_material"]), lowBound=0, cat='Integer') + X = pulp.LpVariable.dicts("X", range(self.factors["num_product"]), + lowBound=0, cat='Integer') + Y = pulp.LpVariable.dicts("Y", range(self.factors["num_material"]), + lowBound=0, cat='Integer') prob = pulp.LpProblem("Integer_Program", pulp.LpMaximize) - prob += pulp.lpSum(self.factors["sales_price"][i]*X[i] for i in range(self.factors["num_product"])) - \ - pulp.lpSum([X[i]*self.factors["process_cost"][i] for i in range(self.factors["num_product"])]) - \ - pulp.lpSum([Y[i]*self.factors["recourse_cost"][i] for i in range(self.factors["num_material"])]) + prob += pulp.lpSum(self.factors["sales_price"][i] * X[i] + for i in range(self.factors["num_product"])) - \ + pulp.lpSum([X[i] * self.factors["process_cost"][i] + for i in range(self.factors["num_product"])]) - \ + pulp.lpSum([Y[i] * self.factors["recourse_cost"][i] + for i in range(self.factors["num_material"])]) # Define constraints """ - C1: sum(recourse cost) + sum(process cost) <= total budget - sum(initial material cost) - C2: for each material, the amount used <= (initial material + recourse quantity) + C1: sum(recourse cost) + sum(process cost) <= total budget - sum(material cost) + C2: for each material, amount used <= (initial material + recourse quantity) """ - prob += (pulp.lpSum([Y[i]*self.factors["recourse_cost"][i] for i in range(self.factors["num_material"])]) + pulp.lpSum([X[i]*self.factors["process_cost"][i] for i in range(self.factors["num_product"])])) <= self.factors["total_budget"] - np.dot(self.factors["order_quantity"], self.factors["material_cost"]) + prob += (pulp.lpSum([Y[i]*self.factors["recourse_cost"][i] + for i in range(self.factors["num_material"])]) + + pulp.lpSum([X[i]*self.factors["process_cost"][i] + for i in range(self.factors["num_product"])])) <= \ + self.factors["total_budget"] - np.dot(self.factors["order_quantity"], + self.factors["material_cost"]) for j in range(self.factors["num_material"]): - prob += pulp.lpSum([self.factors["mat_to_prod"][i][j]*X[i] for i in range(self.factors["num_product"])]) <= stock_material[j] + Y[j] + prob += pulp.lpSum([self.factors["mat_to_prod"][i][j] * X[i] + for i in range(self.factors["num_product"])]) <= \ + stock_material[j] + Y[j] for i in range(self.factors["num_product"]): prob += X[i] <= demand[i] prob.solve(pulp.apis.PULP_CBC_CMD(msg=False)) # Results of IP - Finish_Goods = np.array([pulp.value(X[i]) for i in range(self.factors["num_product"])]) - Recourse = np.array([pulp.value(Y[i]) for i in range(self.factors["num_material"])]) - Inventory = np.array(self.factors["order_quantity"]) + Recourse - np.dot(np.linalg.pinv(self.factors["mat_to_prod"]), Finish_Goods) + Finish_Goods = np.array([pulp.value(X[i]) + for i in range(self.factors["num_product"])]) + Recourse = np.array([pulp.value(Y[i]) + for i in range(self.factors["num_material"])]) + Inventory = np.array(self.factors["order_quantity"]) + Recourse - \ + np.dot(np.linalg.pinv(self.factors["mat_to_prod"]), Finish_Goods) + # Calculate profit. - total_cost = (np.dot(self.factors["order_quantity"], self.factors["material_cost"]) + \ - np.dot(Recourse, self.factors["recourse_cost"]) + \ - np.dot(Finish_Goods, self.factors["process_cost"]) + \ - self.factors["order_cost"]) - sales_revenue = np.dot([min(s, d) for s, d in zip(Finish_Goods, demand)], self.factors["sales_price"]) + total_cost = (np.dot(self.factors["order_quantity"], self.factors["material_cost"]) + + np.dot(Recourse, self.factors["recourse_cost"]) + + np.dot(Finish_Goods, self.factors["process_cost"]) + + self.factors["order_cost"]) + sales_revenue = np.dot([min(s, d) for s, d in zip(Finish_Goods, demand)], + self.factors["sales_price"]) salvage_revenue = np.dot(Inventory, self.factors["salvage_price"]) profit = sales_revenue + salvage_revenue - total_cost - stockout_qty = [max(d - s, 0) for d, s in zip(demand, Finish_Goods)] + stockout_qty = [max(d - s, 0) for d, s in zip(demand, Finish_Goods)] stockout = [1 if a > 0 else 0 for a in stockout_qty] # Compose responses and gradients. responses = {"profit": profit, "stockout_qty": stockout_qty, "stockout": stockout} - gradients = {response_key: {factor_key: np.nan for factor_key in self.specifications} for response_key in responses} + gradients = {response_key: {factor_key: np.nan for factor_key in self.specifications} + for response_key in responses} return responses, gradients @@ -336,7 +391,7 @@ def __init__(self, name="CNTNEWS-1", fixed_factors=None, model_fixed_factors=Non self.variable_type = "discrete" self.gradient_available = False self.optimal_value = None - self.optimal_solution = None + self.optimal_solution = None self.model_default_factors = {} self.model_decision_factors = {"order_quantity"} self.factors = fixed_factors @@ -362,7 +417,6 @@ def __init__(self, name="CNTNEWS-1", fixed_factors=None, model_fixed_factors=Non self.dim = self.model.factors["num_material"] self.lower_bounds = (0,)*self.dim self.upper_bounds = (np.inf,)*self.dim - def vector_to_factor_dict(self, vector): """ @@ -494,7 +548,9 @@ def check_deterministic_constraints(self, x): satisfies : bool indicates if solution `x` satisfies the deterministic constraints. """ - return super().check_deterministic_constraints(x) and (np.dot(x, self.model.factors["material_cost"]) < self.model.factors["total_budget"]) + return super().check_deterministic_constraints(x) and ( + np.dot(x, self.model.factors["material_cost"]) < + self.model.factors["total_budget"]) def get_random_solution(self, rand_sol_rng): """ @@ -510,10 +566,12 @@ def get_random_solution(self, rand_sol_rng): x : tuple vector of decision variables """ - # Generate an Exponential(rate = 1) r.v. - x = (rand_sol_rng.continuous_random_vector_from_simplex(n_elements = self.model.factors["num_material"], - summation = self.model.factors["total_budget"], - exact_sum = False, - weights = self.model.factors["material_cost"])) - x = [np.floor(i) for i in x] + # Generate an r.v. vector. + # The result is rounded down to get discrete values. + x = (rand_sol_rng.continuous_random_vector_from_simplex( + n_elements=self.model.factors["num_material"], + summation=self.model.factors["total_budget"], + exact_sum=False, + weights=self.model.factors["material_cost"])) + x = [int(np.floor(i)) for i in x] return x