寿命为一般分布的M^([X])/GI/1型系统的强度守恒律分析  

Rate conservation law analysis of M^([X])/GI/1 type queueing system with lifetime being general distribution

作　　者：朱翼隽[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《系统工程学报》2009年第1期124-128,共5页Journal of Systems Engineering

基　　金：国家自然科学基金资助项目(70571030;10571076)

摘　　要：用从平稳点过程和Palm分布理论发展起来的强度守恒律研究了寿命为一般分布的M[X]/GI/1型可修排队系统,借助批量平稳到达情况下的PASTA(泊松到达看时间平均)原理,获得了模型稳态工作量的随机分解公式,得到了服务台首次故障前时间等可靠性指标.Using the‘rate conservation law＇ method developed from the stationary point processes and Palm distribution theory, this paper studies a type of M^[X]/GI/1 queueing system with repairable server whose lifetime obeys general distribution. By means of the PASTA （ Poisson arrival see time average） principle in the situation of stationary batch arrival, a stochastic decomposition formula for the steady state workload of the model is obtained. Meanwhile some reliabilities such as the first passage time to server breakdown, the steady state inefficiency probability and failure rate of the system etc. are obtained.

关 键 词：平稳点过程 强度守恒律 批量到达 可修排队 随机分解 

分 类 号：O226[理学—运筹学与控制论]