可修C(2,3:F)系统的可靠性分析

考虑了由三个部件和一个维修工组成的线形可修系统.假定可修系统中的三个部件是相互独立的,每个部件的工作时间和维修时间均服从负指数分布.部件故障后不能修复如新以及关键部件具有优先维修权的情形下,利用几何过程与广义马尔可夫过程等数学工具对该系统的可靠性指标进行了深入的研究.我们得到了该系统的瞬时可用度,可靠度的L ap lace变换表达式.从而得到系统的稳态可用度及首次故障前的平均时间.为进一步探索线形可修系统、复杂串并联和复杂并串联系统提供了一条新途径.

Reliability Analysis of a Repairable C(2,3 :F) System Squares Estimator is BLUE

In this paper,we discuss a repairable linear C(2,3:F) system.One repairman carries out the maintenance of the system.It is assumed that the working time and the repair time of each component in the system are both exponentially distributed and every component after repair is not as good as new.Each component is classified as either a key component or an ordinary one according to its priority role to the system′s repair.We apply the geometric process and generalized Markov process to study a repairable linear C(2,3:F) system.We derive Laplace transforms of some reliability indices such as availability,reliability and MTTFF.We provide a way for further discuss repairable C(k,n:F) whose components after repair are not as good as new.