本文研究了“产品可变质”情况下的VMI库存补货与装运调度问题,并建立了Poisson需求过程下的VMI混合补货发货模型,根据此模型通过简单的规划求解即可得到使长期平均成本最小的最佳混合策略组合。由于模型推演过程中涉及到对补货周期内期望发货次数的近似估计,因而模型解是拟最优的。算例和模型仿真显示,模型结果与仿真结果十分相近,从而模型有效性得以确认。
This paper focuses on stock replenishment and shipment scheduling with deteriorating item for vendor-managed inventory systems. Under the assumption that demand process follows a typical Poisson process, hybrid replenishment and dispatching model for VMI is proposed. From this model, one of the best hybrid policies, under which the long-run average cost is minimized, can be obtained easily by solving a simple programming problem. However, solutions obtained from the model are unnecessarily the exactly optimal but near-optimal, approximation of expected dispatching number within a replenishment cycle is involved. Anyway, a numerical example and simulation show that the disparity between results through optimization and simulation is tiny or even negligible, which demonstrates the validity of the model.