存货影响销售率且理论需求为线性时变函数时的EOQ模型

本文建立了理论需求率为线性时变递增函数且无短缺量拖后和短缺量完全拖后时的EOQ模型,并对无短缺量拖后时模型最优解的存在及唯一性进行了讨论,为库存系统的管理决策提供了理论依据。

An EOQ Model Taking Account of the Linear Time-Varying Increasing Demand under Stock Dependent Selling Rate

In 1995,Padmanabhan and Vrat presented inventory models for deteriorating items with a constant theoretical demand rate and stock dependent selling rate.Based on this 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 theoretical demand rate must not be constant,it may be linear function or exponential function of other more complex functions of time.This paper puts forward an EOQ model when theoretical demand rate is a linear time-varying increasing function without backlogging and with complete backlogging,discusses the existence and uniqueness of optimum solution without backlogging.The theoretical evidence is provided for the inventory system to make management decision.