随机缺陷率条件下整合库存优化模型及其算法

考虑一个单一供货商、单一零售商的整合库存问题,假定零售商接受到的订货中包含部分缺陷产品,缺陷率是一个随机变量;并假定允许缺货,提前期可以控制,即供货商通过努力可以缩短提前期.给出了考虑随机缺陷率的整合库存模型,模型以订货数量、再订货点、提前期以及从供货商到零售商的运输频率为决策变量.通过最小化供货商和零售商的联合总成本,得到最优的供货策略.并假定提前期内需求服从正态分布,给出了模型的具体求解算法.

Optimization model of integrated inventory and its algorithm under random defective rate

An integrated inventory problem for single vendor and single retailer is considered.Assume that an arrival order lot may contain some defective items,and the defective rate is a random variable.Also,shortage is allowed and the lead-time is controllable through the efforts of vendor.An integrated inventory model considering random defective rate is derived,which contains decision variables as quantities of order,re-order point,lead-time,and transportation frequency from suppliers and retailers.Through minimizing the joint total cost of vendor and retailer,the optimal replenishment strategy is obtained.Assuming that the lead-time demand follows a normal distribution,a specific algorithm for the model is put forward.