北大中文核心期刊
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中国科技核心期刊
入选数学领域高质量科技期刊
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运筹学学报 ›› 2018, Vol. 22 ›› Issue (2): 139-156.doi: 10.15960/j.cnki.issn.1007-6093.2018.02.012

所属专题： 庆贺邓乃扬教授80华诞专辑

• 运筹学 • 上一篇    

带短期价格折扣和允许两次特殊补货的库存决策模型

成诚1  左传2  王宜举1,*   

  1. 1. 曲阜师范大学管理学院, 山东日照 276826;  2. 悉尼大学商学院, 悉尼 NSW 2006, 澳大利亚
  • 收稿日期:2017-10-25 出版日期:2018-06-15 发布日期:2018-06-15
  • 通讯作者: 王宜举 E-mail: wang-yiju@163.com
  • 基金资助:

    国家自然科学基金(Nos. 11671228, 11601261)

Optimal replenishment and stocking strategies for inventory mechanism  with short-term price discount and double special replenishment

CHENG Cheng1 ZUO Zhuan2   WANG Yiju1,*   

  1. 1. School of Management, Qufu Normal University, Rizhao 276826, Shandong,  China; 2. Business School, The University of Sydney, Sydney, NSW 2006, Australia
  • Received:2017-10-25 Online:2018-06-15 Published:2018-06-15

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摘要：

针对供应商提供短期价格折扣且允许零售商两次特殊补货的库存系统, 建立了以零售商库存效益最大化为目标的库存决策模型, 分析了模型的性质, 根据经济订单批量补货决策下补货时间点与折扣时段的关系, 确定了零售商在不同补货策略下的库存效益增值函数. 据此给出零售商相应的最优补货策略函数表达式, 提出了该模型的一个全局优化算法, 并通过数值算例验证了模型和算法的有效性与可行性.

关键词: 库存, 短期价格折扣, 特殊补货, 补货策略

Abstract:

This paper considers the inventory system in which the supplier may provide a short-term price discount to retailers at future time and retailers may make two special orders during the special period. For this system, based on maximizing the retailer's profit, we establish an optimal replenishment and stocking model. To solve the model, we first present several modified ordering policies for the model on the basis of the economic ordering strategy, and then establish a global optimal ordering policy for the inventory model. The given numerical experiments show the validity of the model and the efficiency of the algorithm.

Key words: inventory, short-term price discount, special ordering, replenishing strategy