基于PH分布和MAP的备件(s,S)库存模型  

Spare parts(s,S)inventories system based on Phase-type distribution and Markovian arrival process

作　　者：陈童[1] 黄卓[1] 郭波[1] 

机构地区：[1]国防科技大学信息系统与管理学院系统工程系,长沙410073

出　　处：《系统工程理论与实践》2009年第6期107-114,共8页Systems Engineering-Theory & Practice

摘　　要：以包含多个相同部件的系统为研究对象,采用Phase-type(PH)分布代替指数分布等经典分布作为备件寿命、换件维修时间以及库存补充时间的基本假设,推导出该系统的备件需求过程为马尔可夫到达过程(Markovian Arrival Process,MAP);然后在此基础上,研究了(s,S)库存模型,给出了该库存模型首次订货时间、再订货周期、缺货时间的相关分布和参数,最后通过一个算例说明了模型的有效性.This paper investigated the system that consists of several same items, and assumed the life time, replacement repair time of items and the replenishing time follow the continuous time Phase-type（PH） distribution, instead of the exponential distribution or others typical distributions. Then it was proven that the spare parts demand process is a Markovian arrival process（MAP）. Based on this conclusion, this paper studied the （s, S） inventories model, and got the distributions and the parameters of the first order time, cycle time and stock out time about this inventories system. Finally, a numerical example was given to illustrate the effectiveness of the model.

关 键 词：Phase—type分布 马尔可夫到达过程 备件需求 库存模型 

分 类 号：F253.4[经济管理—国民经济]