一种指数时变需求且生产率不相同的EPQ模型

EPQ Model with Exponential Time-varying Demand and Different Productivities

基于短缺量部分拖后的EPQ模型,考虑需求随时间指数增长以及缺货和现货期间生产率不相同对库存管理补充策略的影响,建立了相应的生产库存模型.采用Mathematic 5.0版软件对模型进行仿真寻优和灵敏度分析,表明最优解唯一存在,短缺量拖后系数对系统各项成本的影响比需求增长因子和生产率变化量大,且对保管成本、缺货成本和丢单成本的影响大于生产调整成本和总成本.

Based on the former EPQ models with partial backlogging, this paper develops an EPQ model with exponential time-varying demand and different productivities. The existence of unique optimal solution is discussed by Mathematica 5.0. A numerical example and sensitivity analysis show that the impact of backlogging parameter on all the costs is greater than that of demand increasing factor and productivity during shortage period, and the impact of backlogging parameter on holding cost, shortage cost and opportunity cost due to lost sale is greater than that on setup cost and total cost.