The profit model of retailer is established in logistic system with one supplier and one retailer under single period with random disruption time. The existence of retailer's maximal expectation profit and the effect of disruption time to ordering and expected profit are discussed. According to unconstrained model, a new model with fill rate constraint and service level constrain is given. At the same time, the existence of retailer's maximal expectation profit is discussed under new models. Finally, the effect of disruption time to ordering and expectation profit is explained through the numerical example.%在随机中断条件下就一个供应商和一个零售商组成的供应链建立了单周期的零售商利润模型,基于无约束和有约束两种情形讨论了零售商最大期望利润的存在性,分析了中断时刻对订购量和期望利润的影响.同时,在满足率约束和服务水平约束下分别讨论了零售商最大期望利润的存在性.最后通过几个数值例子展示了随机中断时刻对订购量和最大期望利润的影响.
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