一种需求和采购价均为时变的EOQ模型

中国管理科学 ›› 2003, Vol. ›› Issue (5): 26-30.

一种需求和采购价均为时变的EOQ模型

郑惠莉^1,2, 达庆利¹

1. 东南大学经济管理学院江苏南京 210096;
2. 南京邮电学院管理工程系江苏南京 210003

收稿日期:2003-02-10 修回日期:2003-09-04 出版日期:2003-10-28 发布日期:2012-03-06
基金资助:
教育部人文和社会科学基金"十五"规划项目(01JA630048)

An EOQ Model with Time-Varying Demand and Time-Varying Purchase Price

ZHENG Hui-li^1,2, DA Qing-li¹

1. School of Economics and Management, Southeast University, Nanjing 210096, China;
2. Nanjing University of Posts and Telecommunications, Nanjing 210003, China

Received:2003-02-10 Revised:2003-09-04 Online:2003-10-28 Published:2012-03-06

摘要/Abstract

摘要： 本文提出了一种需求和采购价均为时变的EOQ模型,证明了该模型的总库存成本目标函数在给定条件下为凸函数,给出了寻求最佳采购次数及服务水平的算法,并对该模型进行了数值仿真和灵敏度分析。

关键词: EOQ模型, 需求, 采购价, 服务水平

Abstract: This article presents an EOQ inventory model with time-varying demand and time-varying purchase price,and shows that the total cost function is convex.An algorithm to determine the optimal number of reorders and the service level is developed.Many numerical examples and sensitive analysis illustrate how the algorithm works.

Key words: EOQ inventory model, demand, purchase price, service level

中图分类号:

F252:C931

郑惠莉, 达庆利. 一种需求和采购价均为时变的EOQ模型[J]. 中国管理科学, 2003, (5): 26-30.

ZHENG Hui-li, DA Qing-li. An EOQ Model with Time-Varying Demand and Time-Varying Purchase Price[J]. Chinese Journal of Management Science, 2003, (5): 26-30.

参考文献

[1] Hadley G.,A comparison of order quantities computed using the average annual cost and the discounted cost[J]. Management Science,1964,10:472-476.
[2] Matsuyama K.,Inventory policy with time-dependent setup cost[J].International Journal of Production Economics,1995,42:149-160.
[3] Chang H J,Dye C Y,An EOQ model for deteriorating items with time varying demand and partial backlogging[J]. Journal of the Operational Research Society,1999,50:1176-1182.
[4] Haneveld W.K.K.,Teunter R.H.,Effect of discounting and demand rate variability on the EOQ[J]. International Journal of Production Economics,1998,54:173-192.
[5] Wang S.P.,A note on an EOQ model for deteriorating items with time varying demand and partial backlogging[J]. Journal of the Operational Research Society,2001,52:597-598.
[6] Goyal S.K.,Giri B.C.,A comment on Chang and Dye(1999):EOQ model for deteriorating items with time-varying demand and partial backlogging[J]. Journal of the Operational Research Society,2001,52:238-239.
[7] Goswami A.,Chaudhuri K.S.,An EOQ model for deteriorating items with shortages and a linear trend in demand[J]. Journal of the Operational Research Society,1991,42:1105-1110.
[8] Chung K.J.,Tasi S.F.,An algorithm to determine the EOQ for deteriorating items with shirtage and a linear trend in demand[J]. Journal of Production Economics,1997,51:215-221.
[9] Ardalan A.,Optimal prices and order quantities when temporary price discounts results in increase in demand[J]. European Journal of Operational Research,1994,72:52-61.
[10] Tersine R.J.,Barman S,Economic purchasing strategies for temporary price discount[J]. European Journal of Operational Research,1995,80:328-343.
[11] Matsuyama K.,The EOQ-Models modified by introducing discount of purchase price or increase of setup cost[J]. International Journal of Production Economics,2001,73:83-99.
[12] Weng Z.K.,Modeling quantity discounts under general price-sensitive demand function:Optimal policies and relationships[J]. European Journal of Operational Research,1995,86:300-314.
[13] 徐光辉.运筹学基础手册[M].科学出版社,1999.
[14] 国际电子商情[Z].http://www.ebnchina.com.
[15] 卢军.液晶显示器价格走势分析[Z].http: //www. ccw. com. cn 计算机世界.
[16] 液晶显示器正逼近主流市场[Z].http: //www. sina. com.cn 赛迪网-中国计算机报.