随机补货间隔期的多周期库存优化模型

针对供应商处于相对有利地位,零售商综合考虑各种因素决定他们补货量情况,研究了订货由零售商发起,且补货间隔期不受零售商控制情况下的多周期库存优化问题·在假设允许缺货、补货间隔期是独立同分布的随机变量的前提下,给出了补货间隔期服从一般分布的预期利润函数,通过确定最优补货量来有效地控制库存·在此基础上,又分析了补货间隔期服从两种特殊分布情况,并通过灵敏度分析说明了补货间隔期对其利润的影响·

Multi-period Inventory Optimization Model for Stochastic Replenishment Intervals

Studies the problem that a supplier is relatively in an advantageous position but retailers have to decide the quantities to replenish their inventories with various factors taken into account. Assuming that both the allowable stock-out and replenishment intervals are stochastic(independent identically distributed) variables, we give the expected profit function that the replenishment intervals comply with general distribution and the inventory can be controlled effectively by optimizing the replenishment quantity. Then, two particular distribution cases are discussed for replenishment intervals and, by sensitivity analysis, how the replenishment intervals affect retailer's profit is expounded.