Poisson冲击下温贮备可修系统的可靠性分析

Reliability analysis of warm standby repairable system under Poisson shock

研究了在Poisson冲击下由n个同型部件和k个修理工组成的温贮备系统.假设部件的工作时间、贮备时间和修理时间均服从不同参数的指数分布,冲击流的到达服从参数为λ的Poisson过程,应用Markov理论和Laplace变换方法得到了系统可靠度、稳态可用度、首次故障前平均时间等一系列可靠性指标,并给出一个例子验证该研究成果的可行性.

Warm standby system composed of n identical units and k repair facilities is studied under Poisson shock.It is assumed that the working time,standby time and repair time of the units are subject to the different exponential distribution,the arrival of the shock flow obeys Poisson process with parameterλ.A series of reliability indices such as the system reliability,steady-state availability,average utilization time before first failure,and so on are obtained by using Markov theory and Laplace transform method and an example is given to verify the feasibility of this study result.