多服务台服务同一顾客的M/M/m+k/N可修排队系统  

The M/M/m+k/N Repairable Queuing System with One Customer Served by Multiple Servers

作　　者：师宗梅 吕胜利[1] 袁晶晶[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《数学的实践与认识》2017年第9期136-143,共8页Mathematics in Practice and Theory

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

摘　　要：研究带有备用服务台的可修排队系统,假设多个服务台可同时服务同一顾客,利用马尔可夫过程理论建立了系统稳态方程组,然后利用分块矩阵的解法求出系统稳态概率的矩阵解,在此基础上建立系统的费用模型,并利用Matlab软件进行数值实例分析.In the paper, we consider the repairable system with spare servers, assuming that a customer may be served by multiple servers at a time. We can obtain the steadystate probability equations by the Markov process method, then we derive the steady-state probability in matric solution theory. In addition, we develop a cost model on the basic of the system, and we make numerical analysis by using Matlab software.

关 键 词：备用服务台 可修系统 马尔可夫过程 费用模型 

分 类 号：O226[理学—运筹学与控制论]