带中断风险的多供应商库存模型  

Multi-supplier Inventory Model with Disruption Risks

作　　者：李振国[1] 王琪凤[1] 

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471023

出　　处：《河南科技大学学报（自然科学版）》2014年第3期81-85,9,共5页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(10971053)

摘　　要：在客户需求量是随机的假设下,单个销售商从多个供应商处订货,其中每个供货渠道都有中断的风险,并且当中断发生时,销售商只能从供货商那里得到部分原始订购量。从销售商的角度,建立了利润最大化库存模型,证明了目标函数的凸性,得出了最优订货量的充分必要条件,并且通过数值试验分析了最优订货量和最大利润与各参数之间的变化关系。One retailer can order from multi suppliers. The demand of the retailer customer is random. And every supply channel is susceptible to disruption risks. When break happens to one of the supply channel,only a fixed fraction of the original order quantity is met by the supply channel. This paper established the maximum-profit model from the retailer view,proved the concavity of the objective function,and provided the necessary and sufficient conditions for the optimal order quantities. The effects of parameters on the optimal order quantities and the maximum profit were analyzed through numerical experiments.

关 键 词：库存模型 最优订货量 中断风险 多供应商 

分 类 号：O157[理学—数学]