This paper investigates the steady-state availability of a repairable series-parallel system with redundant dependency.The different types of components and repairmen are taken into account,the failure rate of the ope...This paper investigates the steady-state availability of a repairable series-parallel system with redundant dependency.The different types of components and repairmen are taken into account,the failure rate of the operating component varies as the number of other failed components and the repair rate of the failed component is constant in each parallel redundant subsystem.To quantify the redundant dependency,a modified failure dependence function is introduced to determine the failure rate of the components in each subsystem.Markov theory and matrix analysis method are used to get the steady-state probability vector of each subsystem and the steady-state availability of the entire system.A numerical example is presented to illustrate the obtained results and to analyze the effect of redundant dependency class on the system availability.展开更多
The availability equivalence of different designs for a repairable multi-state series-parallel system(RMSPS) is discussed in this paper.The system components are assumed to be independent,and their failure and repair ...The availability equivalence of different designs for a repairable multi-state series-parallel system(RMSPS) is discussed in this paper.The system components are assumed to be independent,and their failure and repair rates to be constant.The system availability is defined as the ability of the system to satisfy consumer demand.Factor improvement method and standby redundancy method are used to improve the system design.To evaluate availability of the both original and improved systems,a fast technique,based on universal generating function,is adopted.The availability equivalence factor is introduced to compare different system designs.Two types of availability equivalence factors of the system are derived.A numerical example is provided to illustrate how to utilize the obtained results.展开更多
基金supported in part by the Natural Science Foundation of Hebei Province under Grant No.A2018203088the National Natural Science Foundation of China under Grant No.11601469the Science Research Project of Education Department of Hebei Province under Grant No.ZD2017079。
文摘This paper investigates the steady-state availability of a repairable series-parallel system with redundant dependency.The different types of components and repairmen are taken into account,the failure rate of the operating component varies as the number of other failed components and the repair rate of the failed component is constant in each parallel redundant subsystem.To quantify the redundant dependency,a modified failure dependence function is introduced to determine the failure rate of the components in each subsystem.Markov theory and matrix analysis method are used to get the steady-state probability vector of each subsystem and the steady-state availability of the entire system.A numerical example is presented to illustrate the obtained results and to analyze the effect of redundant dependency class on the system availability.
基金supported in part by the Natural Science Foundation of Hebei Province under Grant Nos.A2014203096 and G2012203136the National Natural Science Foundation of China under Grant No.11201408the Science Research Project of Yanshan University under Grant No.13LGA017
文摘The availability equivalence of different designs for a repairable multi-state series-parallel system(RMSPS) is discussed in this paper.The system components are assumed to be independent,and their failure and repair rates to be constant.The system availability is defined as the ability of the system to satisfy consumer demand.Factor improvement method and standby redundancy method are used to improve the system design.To evaluate availability of the both original and improved systems,a fast technique,based on universal generating function,is adopted.The availability equivalence factor is introduced to compare different system designs.Two types of availability equivalence factors of the system are derived.A numerical example is provided to illustrate how to utilize the obtained results.
