具有多层次变动环境的CIMS可靠性的位相分析

The Plase Type Analysis of Reliability on CIMS with Multiple Levels Changing Environment

中文关键词  工作站  变动环境  马氏调节泊松过程  位相分布

英文关键词  the working station  the changing environment  the Markov-modulated poisson process  the plase type distributions

中文摘要

      本文研究了多层次变动环境，带有有限缓冲库的CIMS可靠性问题。其中假定两级工作站的寿命都服从指数分布，其他所有随机因素都是马氏调节泊松过程。利用准生灭过程理论，给出了系统的各种可靠性指标和生产指标，给出了由环境小变化而引起的系统指标扰动的界值，讨论了系统运行中的局部渐近性态。

英文摘要

      This paper considers the reliability problem of CIMS with a finite buffer and multiple levels changing environment. The life times of two working stations are assumed to take exponential distributions, all other random factors are the Markov-modulated poisson processes. By means of quasi birth and death processes theory, we obtain all reliability indexes and procuction indexes of system, give some random perturbations boundaries of system when there is a small changing of the environment, and consider some asymptotic properties of system.