延期支付条件下零售商的最优售价和订货策略

运筹与管理 ›› 2011, Vol. 20 ›› Issue (6): 59-65.

延期支付条件下零售商的最优售价和订货策略

李明芳^1,2, 王道平¹

1.北京科技大学管庄校区, 北京 100024;
2.北京科技大学经济管理学院, 北京 100083

收稿日期:2010-03-29 出版日期:2011-12-25
作者简介:李明芳(1976-),女,山东青岛人,博士,研究方向为供应链管理,决策分析;王道平(1964-),男,北京人,教授、博士生导师,研究方向为供应链管理,决策分析等。
基金资助:
国家自然科学基金资助项目(70872010);北京市哲学社会科学“十一五”规划项目(07BfJG185)

Retailer’s Optimal Pricing and Ordering Policy under Permissible Delay in Payments

LI Ming-fang^1,2, WANG Dao-ping¹

1. Guanzhuang Campus, University of Science and Technology Beijing, Beijing 100024, China;
2. School of Economics and Management, University of Science and Technology Beijing, Beijing 100083, China

Received:2010-03-29 Online:2011-12-25

摘要/Abstract

摘要： 在供应商给予零售商延期支付和现金折扣的优惠政策下,进一步假设产品的年需求量依赖于零售商产品售价的基础上,建立了由一个零售商和一个供应商所构成的库存决策模型,扩展了经典的经济生产批量(EPQ)模型。通过模型的分析求解,可以得出零售商在上述情况下的最优订货周期、最优售价及最优付款时间的简单判定方法。最后,通过算例,验证了模型的可行性,得出了与实际相符的结论。

关键词: 库存论, 订货策略, 最优化, EPQ模型, 延期支付

Abstract: The main purpose of this paper is to develop an inventory model under permissible delay in payments, in which the supplier provides not only a permissible delay but also a cash discount to the retailer, where the demand rate is considered to be a function of the retail price. This model further expands the classical economic production quantity(EPQ)model. We do this in order to reflect the real-life business situations. Mathematical models have derived for obtaining the optimal pricing, optimal cycle time and optimal payment time for items. Finally, a numerical example is given to illustrate the results developed in this paper.

Key words: inventory theory, replenishment policy, optimization, EPQ model, permissible delay in payments

中图分类号:

C931

李明芳, 王道平. 延期支付条件下零售商的最优售价和订货策略[J]. 运筹与管理, 2011, 20(6): 59-65.

LI Ming-fang, WANG Dao-ping. Retailer’s Optimal Pricing and Ordering Policy under Permissible Delay in Payments[J]. Operations Research and Management Science, 2011, 20(6): 59-65.

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