考虑需求与价格——质量相关的补货与定价联合决策广义模型

Generalized Joint Replenishment and Pricing Model with Demand Dependent on Price and Quality

文中基于顾客的购买行为,构建质量-价格敏感的时变需求函数;以利润最大化为目标建立了补货与定价联合决策广义模型,同步确定市场价格、订货批量和时间间隔;证明了模型存在唯一最优解的条件,并给出求解方法;讨论了研究问题的特例形式,表明模型具有广泛适用性。数值算例进一步分析了质量水平影响因子、产品变质率的变化速率对销售利润和决策变量的影响关系。

This paper based on customer＇s purchasing behavior,the paper formulates quality -price -sensitive time -varying demand function and builds a generalized joint replenishment and pricing model whose aim is to simultaneously determine the price,the order quantity and the replenishment time interval of maximizing the profit. We prove the conditions of existing unique optimal solution and give the solving method. Some special cases of the research are discussed so as to show that the model has broad applicability. Numerical example further analyzes how the impact factor of quality and the changing velocity of deterioration affect the profit and the decision variables.