需求不确定的修正库存定价模型  

A modified inventory pricing model with uncertainty demand

作　　者：苏珂[1] 任晓慧 SU Ke;REN Xiaohui(College of Mathematics and Information Science,Hebei University,Baoding 071000,Hebei,China)

机构地区：[1]河北大学数学与信息科学学院,河北保定071000

出　　处：《运筹学学报》2023年第3期21-36,共16页Operations Research Transactions

基　　金：河北省自然科学基金(No.A2022201002);河北省教育厅重点研究基金(Nos.ZD2015069,ZD2020172)。

摘　　要：经济订货量(EOQ)模型的目的是寻找使得总库存成本最小化的最优订货量,从而解决库存管理独立需求的问题。本文在EOQ模型的基础上提出了一种修正的库存定价模型。该模型是用波动需求代替原确定需求。与经典EOQ模型不同,修正模型的研究目标是寻找使总利润最大化的最优价格。由于修正模型中具有波动量ζ,本文通过求解其鲁棒对等模型得到最优解。在低碳的背景下,政府和企业必须采取积极措施来降低碳排放。为实现低碳目标,本文在修正的库存定价模型中添加了碳税变量,进一步分析碳税政策下最优价格的变化情况。最后,通过数值算例说明了在碳税政策下,为获得更多的利润,企业应积极探索节能减排方法,加强节能减排管理。The economic order quantity(EOQ)model seeks the optimal order quantity to minimize the total inventory cost,so as to solve the inventory management problem with independent demand.In this work,a modified inventory pricing model based on the EOQ model is proposed.In the presented model,the original certain demand is replaced by a perturbation demand.Different from the classical EOQ model,the goal of modified model is to find the optimal price maximum the total profit.Because the modified model has perturbation set C,it is hard to obtain the optimal solution.We get the optimal solution by solving its robust counterpart model.In the context of low carbon,in the meantime,the government and enterprises must take positive measures to reduce carbon emissions.The carbon tax is added to the modified inventory pricing model in order to reduce carbon emission.Finally,numerical examples is provided to support that enterprises should appropriately reduce carbon emissions in order to obtain more profits under the carbon tax policy.

关 键 词：EOQ 波动集 库存定价 低碳 鲁棒对等 

分 类 号：O221.2[理学—运筹学与控制论]