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泊松冲击下单部件混合贮备系统可靠性分析
引用本文:卢芳香,董秋仙.泊松冲击下单部件混合贮备系统可靠性分析[J].数学的实践与认识,2014(17).
作者姓名:卢芳香  董秋仙
作者单位:南昌大学数学系;
摘    要:研究的是泊松冲击下由三同型部件组成的单部件混合贮备系统可靠性.在系统三部件分别为工作部件、温贮备部件和冷贮备部件假定下,且假定三部件在工作过程中都是接着工作、修理、冷贮备、温贮备、工作依次进行状态转移,同时假设部件寿命和维修时间都服从指数分布,利用基本概率理论和马尔可夫过程理论分别对不可修和可修两类系统进行讨论得到相关可靠性指标.

关 键 词:泊松冲击  混合贮备  马尔可夫过程理论  可靠性指标

Reliability Analysis of a Single-Unit System with Mixed Standbys Attacked by Poisson Shocks
Abstract:This paper deals with the rehability of a system with the independent repair rule and the system consists of three identical components.We let the three components transfer orderly from working to repair,to cold standby,to warm standby.With the hypothesis that life and repair time of the three components in the system obey exponential distribution,by using basic theory of probability and the Markov process theory,the relevant reliability indices of unrepairable system and repairable system discussed in this paper are obtained.
Keywords:single unit  mixed standby  Markov process theory  reliability indices
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