基于马尔可夫到达过程的两级可修备件(S-1,S)库存优化模型

摘要

本文以两级可修备件库存系统为研究对象,采用马尔可夫到达过程(MAP)描述备件需求规律,考虑有限维修设施的情况,假设故障件维修时间、备件运输时间以及采购时间均服从phase-type(PH)分布,建立了一种描述能力更强、解析计算性更好的(S-1,S)库存优化模型,并推导出系统缺货量分布函数;然后通过算例演示了模型的优化效果,验证了模型的正确性和适用性.%This paper investigates a two-echolon inventory system with(S-1,S)policy that consists of several same repairable items and single repair facility,and assumes that the item de-mand occur according to a markovian arrival process(MAP),the repair time,ship time and procurement time follow the general distribution which is represented by phase-type(PH)dis-tribution. Then a inventory optimization model with better description ability and analytical per-formance is given,and the probability distribution of backorder is obtained. Finally,a numeri-cal example was given to illustrate the effectiveness of the model.