多服务台可修排队的稳态分布存在条件  

The Condition for The Existence of Steady-state Distribution in the Multi-server Repairalble Queue System

作　　者：吕胜利[1] 岳德权[2] 李静铂 

机构地区：[1]南开大学信息科学学院,天律300071 [2]燕山大学理学院,河北秦皇岛066000 [3]秦皇岛教育学院数学系,河北秦皇岛066000

出　　处：《运筹与管理》2005年第4期64-69,共6页Operations Research and Management Science

基　　金：河北省博士基金资助项目(2002131)

摘　　要：本文分析多服务台可修排队系统的稳态分布存在条件。多服务台可修排队系统可利用拟生灭过程理论处理。拟生灭过程方法给出了矩阵形式的多服务台可修排队系统的稳态分布存在条件,本文由这一矩阵形式的稳态分布存在条件导出具有明显概率意义的稳态分布存在条件的另一种形式,从而证明了两种不同形式的稳态分布存在条件的一致性。In this paper, we analyse the condition for the existence of steady-state distribution in the multiserver repairable queue system. Quasi-birth-death process theory can be used to deal with the state distribution and the multi-server repairable queueing system has been given by the quasi-birth-death process method. In this paper we derive another form of the steady-state condition which has apparent probabilistic significance from the matric form of the steady-state condition of the queueing system, so we have proved the two different forms of the conditions for the existence of steady-state distribution in the queueing system are consistent.

关 键 词：可修排队 稳态分布存在条件 马尔可夫过程 拟生灭过程 

分 类 号：O226[理学—运筹学与控制论]