部分短缺量拖后且考虑费用时值的VMI模型

针对一般的供应商管理库存（VMI）模型通常忽略系统的费用时值问题，基于需求为常数和无短缺量拖后或短缺量完全拖后的VMI模型，进一步考虑系统的费用时值和缺货期间出现短缺量部分拖后的情况，建立了包括一个供应商和一个订货商、从原材料到产成品的VMI模型，通过数值仿真和灵敏度分析表明，最优解存在且费用贴现率、丢单系数与服务水平对供应链各成员的单项和集成总成本均有不同程度的影响，为VMI系统的管理决策提供了理论依据。

A Vendor-managed Inventory Model with Partial Backlogging and Time Value of Costs

Classical vendor-managed inventory models usually neglect the time value of system costs. Based on the VMI model with constant demand rate and complete backlogging, a new VMI model with partial backlogging and time value of costs is presented, which includs a single vendor and buyer, and from raw material to finished product. A numerical example and sensitivity analysis are presented to illustrate the model, and demonstrate the existence of the optimal solution and different sensitivity of parameters to the costs of VMI system. The theoretical evidence is provided for the VMI system to make management decision.