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中国管理科学 ›› 2018, Vol. 26 ›› Issue (6): 143-152.doi: 10.16381/j.cnki.issn1003-207x.2018.06.015

• 论文 • 上一篇    下一篇

多产品救援物资的储备决策:一个扩展的Newsvendor模型

陈敬贤1,2, 梁樑2   

  1. 1. 南通大学商学院, 江苏 南通 226019;
    2. 合肥工业大学管理学院, 安徽 合肥 230009
  • 收稿日期:2016-09-23 修回日期:2017-12-28 出版日期:2018-06-20 发布日期:2018-08-22
  • 作者简介:陈敬贤(1982-),男(汉族),安徽人,南通大学商学院,副教授,博士,合肥工业大学管理学院,博士后,研究方向:决策分析与供应链管理,E-mail:jxchenms@vip.163.com.
  • 基金资助:

    国家自然科学基金资助项目(71401082,71771127,71501084,71671078);中国博士后科学基金面上项目(2017M612070)

Pre-positioning Decisions of Stockpiling Multiple Relief Materials: An Extended Newsvendor Approach

CHEN Jing-xian1,2, LIANG Liang2   

  1. 1. School of Business, Nantong University, Nantong 226019, China;
    2. School of Management, HeFei University of Technology, Hefei 230009, China
  • Received:2016-09-23 Revised:2017-12-28 Online:2018-06-20 Published:2018-08-22

摘要: 储备一定数量的救援物资用于应对可能的灾害事件对于改善救援工作的绩效有着重要的意义。在考虑救援组织机构面对多种可能的灾害事件的基础上,本文利用一个二阶段交付过程模型来刻画灾害事件发生后救援物资的交付。该模型明确救灾组织在灾害事件发生后首先交付储备物资,如果需求短缺则再综合利用社会捐赠物资和应急采购满足剩余需求。以期望总成本最小化为目标,在需求全部被满足的前提下,本文建立了多产品救援物资的储备决策模型,并给出了其最优解的隐函数形式。进一步,考虑救灾物资储备存在预算限制,研究了具有预算限制的多产品救援物资储备决策模型,并设计了一种二分法的求解算法。数值算例的计算结果则对所建立模型及算法进行了检验。

关键词: 人道救援, 救援物资, 储备, 多产品报童模型

Abstract: Stockpiling relief resources play a vital role in improving performance of responding potential disasters. Considering a relief organization facing multiple contingent disaster events, a two-stage delivery process model is developed to characterize relief materials' delivery after a disaster. The delivery process model proposes that relief organizations first deliver the stockpiling inventories after a disaster. The second delivery incorporating social donation and emergency purchasing is triggered only when the demand is backordered. A multi-product inventory model is proposed that aims to minimize the expected total costs when all demands incurred by an arbitrary disaster need to be fully satisfied. The optimal solution characterized by an implicit function is derived. Furthermore, the effect of the budget constraint is also investigated. A binary algorithm is established for solving the model. Numerical examples are employed to examine the model and algorithm.

Key words: humanitarian relief, relief materials, stockpiling, multi-product newsvendor model

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