Reliability Considerations on Redundant Systems with Repair

Abstract

It is well-known that a method of increasing system reliability is the addition of redundancy and/or repair. In this paper, the reliability models of complex systems with redundancy and/or repair are formulated by birth-death processes and semi-Markov processes. The authors show how the system modification yields the increase in mean time to system failure. They show how the system with repair yields the increase in mean time to system failure compared with the similar system without repair. Finally, they also show that the system reliability depends upon the repair time distributions and that many calculations of the system reliability suggest the significant properties.