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 demand 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） distribution. Then a inventory optimization model with better description ability and analytical performance is given， and the probability distribution of backorder is obtained. Finally， a numerical example was given to illustrate the effectiveness of the model.

1980年出生，男，河南驻马店市人，博士，研究方向为装备综合保障，系统可靠性