存货影响销售率且销售价格可变的EOQ模型

1995年，Padmanabhan和Vrat建立了变质物品在价格恒定且存货影响销售率条件下的EOQ模型；2000年，Kun-Jen Chung,Peter和Shaw-Ping Lan则在此基础上研究了无短缺量拖后和短缺量完全拖后时单位时间利润函数唯一最优解存在的充分和必要条件，实际上存货销售价格并非一定是常数，它经常随多种因素而变化，放宽这一条件，假定销售价格是外部需求的线性函数，建立了无短缺量拖后情况下变质物品在存货影响销售率且销售价格可变时的EOQ模型，并讨论了该模型具有全局唯一最优解的充分条件，最后给出一个算例进行说明，为库存系统的管理决策提供了理论依据。

An EOQ Model Taking Account of the Variable Selling Price Under Stock Dependent Selling Rate

In 1995, Padmanabhan and Vrat presented inventory models for deteriorating items with a constant selling price and stock dependent selling rate . Based on the result, in 2000, Kun-Jen Chung, Peter Chu and Shaw-Ping Lan devoloped the necessary and sufficient conditions of the existence and uniqueness of the optimal solutions of the profit per unit time functions without backlogging and with complete backlogging. Actually, the selling price need not be constant, it may be variable . This paper puts forward an EOQ model when the selling price is variable without backlogging, discusses the existence and uniqueness of optimum solution. The example is provided to illustrate the model. The theoretical evidence is provided for the inventory system to make management decision.