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中国管理科学 ›› 2008, Vol. 16 ›› Issue (1): 96-103.

• 论文 • 上一篇    下一篇

补货能力影响部分短缺量拖后率的边补货边需求EOQ模型

张旭梅, 邱晗光, 陈军   

  1. 重庆大学经济与工商管理学院 重庆400044
  • 收稿日期:2007-01-08 修回日期:2007-11-30 出版日期:2008-02-28 发布日期:2008-02-28
  • 作者简介:张旭梅(1966- ),女(汉族),四川仁寿人,重庆大学经济与工商管理学院教授,博士生导师,研究方向:物流与供应链管理、客户关系管理.
  • 基金资助:

    国家863计划项目(2007AA040801);重庆市科技攻关重大项目(CSTC2006AA2023)

An EOQ Model of Replenishment with the Replenishment Capacity Affecting the Partial Backlogging

ZHANG Xu-mei, QIU Han-guang, CHEN Jun   

  1. College of Economics and Business Administration, Chongqing University, Chongqing 400044, China
  • Received:2007-01-08 Revised:2007-11-30 Online:2008-02-28 Published:2008-02-28

摘要: 基于短缺量拖后率与等待时间相关的假设,在边补货边需求EOQ模型中,增加考虑了补货开始后缺货量得到满足的等待时间对短缺量拖后率的影响,提出了与补货能力和短缺量相关的部分短缺量拖后率影响方式,建立了补货能力影响部分短缺量拖后率的变质商品边补货边需求EOQ模型。对三个算例的仿真求解表明:增大补货能力会导致生产次数下降到某一固定水平,虽然增加了缺货量等待下次补货的时间,但是减少了补货开始后缺货量获得满足的时间,所以在中等水平的补货能力下,丢单数量随补货能力的变化趋势不明显,但是较大的补货能力却能显著减少丢单数量,扩大缺货时短缺量拖后的比率。

关键词: EOQ模型, 补货能力, 部分短缺量拖后, 等待时间, 变质

Abstract: Based on the hypothesis of time-dependent partial backlogging,the effect of the waiting time between the next replenishment and the satisfaction of the backlogging demand on the rate of partial backlog-grog was investigated in this paper. Then the backlogging rate influenced by the replenishment capacity and the total of backlogging demand was proposed. Based on this new standpoint,an EOQ model of replenishment with the replenishment capacity affecting the partial backlogging was built up.At last,an emulator was performed and the results showed:improving the replenishment capacity could reduce the replenishment times to a lower constant level;this effect may increase the waiting time before the next replenishment,but it could decrease the waiting time after the start of reple山shment;so the trend of the lostsales varying with the replenishment capacity was not very distinct at the medium level of the replenishment capacity;However,the more adequate replenishment capacity could reduce the number of lostsales and improve the rate of partial backlogging during shortage period than the less one.

Key words: EOQ model, replenishment capacity, partial backlogging, waiting time, deterioration

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