多服务台服务同一故障机器的可修系统分析  

Analysis of the machine repairable system with one breakdown machine served by multiple servers

作　　者：王艳环[1] 吕胜利[1] 

机构地区：[1]燕山大学理学院,秦皇岛066004

出　　处：《系统工程理论与实践》2014年第1期233-238,共6页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(71071133;71071134);河北省自然科学基金(G2012203136)

摘　　要：本文研究M/M/R机器可修问题,假设多个服务台可服务同台故障机器.用矩阵分析方法得到了系统的稳态概率,并给出数值实例.建立费用模型,讨论了维修率对系统指标的影响,并得到了最优维修率.This article analyzes the M/M/R machine repair problem and assumes that a breakdown machine may be served by multiple servers at a time. The steady-state probabilities are obtained by the matrix analytical method with numerical examples. In addition, we develop a cost model to discuss the impact of the service rate on the performance indexes of the system, and get the optimal service rate.

关 键 词：多对一 可修系统 费用模型 

分 类 号：O226[理学—运筹学与控制论]