Reliability Analysis Of Complex Repairable System

Repairable system is one of the basic models of Reliability theoryand Engineering,the existing hot research mainly focused on thereliability analysis assuming the syetem after failures can not be repairedimmediately,but the behavior of the repairmen was neglected.On the basisof references,on the one hand,we introduced the conception of arepairman with possible delayed vacation into the warm standbyrepairable system..on the other hand,we discusseded the k n(F)systemwith repairable repair-equipment,in which the repair-man can be vacationand repair-equipment can be cold standby.This consideration is morerealistic and reasonable.The full text mainly consists of the following three parts:Part One:we studied the warm standby repairable system,in whichthe repair-man can be possible delayed vacation,can be vacation and thefailed components can be repaired as good as new.By using the supplementary variables approach, generalized Markov process methodand the tool of the Laplace transform,some important reliability indicesare obtained.Finally,a special example of the warm standby repairablesystem with repairman vacation is given.Part Two:we discussed the warm standby repairable system,in whichthe repair-man can be possible delayed vacation,can be vacation,but thefailed components can not be repaired as good as new.Also by using thesupplementary variables approach,geometric process,generalized Markovprocess method and the tool of the Laplace transform,some importantreliability indices are obtained.Finally, a particular for the warm standbyrepairable system with repairman vacation is given.Part Three:we discussed the reliability of a k n(F)system withrepairable repair-equipment,in which both the failed components andrepair-equipment can be repaired as good as new.By using thesupplementary variables approach,generalized Markov process methodand the tool of the Laplace transform,:the system’s availability indices areobtained.Finally,a special example for the k n(F)system with repairablerepair-equipment is given.Finally, the research work is summarized and new research prospectsabout complex repairable system’s reliability are proposed.