Research On Voting Markov Repairable Systems With M Repairmen

Voting Markov repairable systems are systems that exist extensively in engineering and are also one of the most popular models studied in reliability mathematics.There is only one repairman in a classical voting model,and when he is repairing a malfunctioning component,the other malfunctioning components have to wait to be repaired However,there are often several repairmen in real systems.The predecessors did a lot of research on the voting systems and several main reliability indexes were proposed including reliability,availability,average work time,average downtime and so on.However,in production practice,it is also necessary to know the possibility that the system will work normally over a period of timeTherefore,this dissertation is based on the Voting Markov repairable systems with m repairmen and n same-type components.The system is studied by using Markov process theory and mathematical methods.The main research parts of this dissertation are followsFirstly,a reliability analysis is completed on the Voting Markov repairable systems with m repairmen and n same-type components.The corresponding instantaneous availability,the steady-state availability,the interval availability and other indexes are derived.A numerical example is taken to simulate the contentions presented in the paperSecondly,sensitivity of system parameters is analysised.The three parameters of the system are the number of repairmen m,the component lifetime distribution parameters ? and maintenance time distribution parameters ?.The influence of changes in system parameters on the reliability indexes output by the model is studiedThe third part is example application.Describe the selected instance problem,and build system model according to actual situation.Then the corresponding instantaneous availability,the steady-state availability,the interval availability and other indexes are derived.A reliability analysis is completed on the Voting Markov repairable systems and the corresponding indexes are derived in the dissertation.Sensitivity of three system parameters is analysised.Finally,use a engineering example to verify the theoretical results This dissertation has important theoretical and practical significance.It can also provide theory reference for the reliability evaluation and management of Voting Markov Repairable Systems.