计算机集成制造系统 ›› 2021, Vol. 27 ›› Issue (7): 2144-2155.DOI: 10.13196/j.cims.2021.07.026

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联合采购与配送协同成本分摊方法

饶卫振,徐丰,段忠菲   

  1. 山东科技大学经济管理学院
  • 出版日期:2021-07-31 发布日期:2021-07-31
  • 基金资助:
    国家自然科学基金重点资助项目(71632007);国家社会科学基金资助项目(16CGL016);山东省自然科学面上基金资助项目(ZR2018MG001);泰山学者工程专项经费资助项目(tsqn201909111);山东省社会科学基金资助项目(20CGLJ32);山东省高等学校青创科技支持计划资助项目(2019RWG010)。

Cost allocation of joint replenishment and delivery

  • Online:2021-07-31 Published:2021-07-31
  • Supported by:
    Project supported by the National Natural Science Foundation,China(No.71632007),the National Social Science Foundation,China(No.16CGL016),the Shandong Provincial Natural Science Foundation,China(No.ZR2018MG001),the Specialized Foundation of Taishan Scholars Program,China(No.tsqn201909111),the Shandong Provincial Social Science Foundation,China(No.20CGLJ32),and the Shandong Provincial Colleges and Universities Youth Innovation and Technology Supporting Plan,China(No.2019RWG010).

摘要: 针对企业联盟进行联合采购时的配送成本分摊不合理问题,提出采用Shapley值法同时分摊物品的购买成本和配送成本,对配送成本占比较大的物品具有重要的应用意义。将n个企业协同总成本分为联合购买成本C1(N)和配送成本C2(N)两部分,并采用Shapley值法分别对C1(N),C2(N),C1(N)+C2(N)进行了分摊。根据实际联合采购问题,在考虑“企业位置分布”与“配送成本占比”因素的基础上设计了大量算例。通过算例实验得出以下结论:采用Shapley值法同时分摊联合购买成本与配送成本,与仅按货物购买数量作为权重的分摊方法相比,两者协同总成本分摊结果的平均偏差可高达11.75%,并且配送成本占总成本比率越大,协同企业位置分布越不均匀,越需要采用更合理的方法同时对配送成本进行公平分摊。

关键词: 联合采购, 合作博弈, 成本分摊, 配送成本

Abstract: When corporate coalitions conduct the cost allocation of joint replenishment,it is rare to consider the cost allocation of delivery problem simultaneously,or simply allocate the delivery cost according to the weight which is based on the demand of goods.In view of this,the procurement cost and distribution cost were allocated by Shapley,which was important to the items that the distribution cost accounts for a large proportion of the total cost.The total cost of collaboration among n companies was divided into two parts,named procurement cost C1(N) and distribution cost C2(N).Then Shapley was used to allocate the cost which involved C1(N),C2(N),C1(N)+C2(N).Some examples considering “enterprise location distribution” and “distribution cost ratio” were designed.By solving the different examples,the following conclusions were obtained:compared with the traditional method,Shapley could get the average deviation of result which was as high as 11.75% and it could be determined that the greater the ratio of distribution cost to its own value and the more uneven the location distribution of joint replenishment,the more necessary to use a more reasonable method to allocate the distribution cost simultaneously.

Key words: joint replenishment, cooperative game, cost allocation, distribution cost

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