Reliability and sensitivity analysis of a repairable system with warm standbys and R unreliable service stations

Abstract

This paper deals with the reliability and sensitivity analysis of a repairable system with M operating units, S warm standby units, and R unreliable service stations. Failure times and service times of operating or standby units are assumed to be exponentially distributed. While the service station is working, it is subject to breakdowns according to a Poisson process. When the station breaks down, it requires repair at a repair facility, where repair times follow the negative exponential distribution. This paper provides the expressions for system reliability, R-Y(t), and the mean time to system failure, MTTF. We perform a sensitivity analysis for changes in the reliability characteristics, along with changes in specific values of the system parameters. Sensitivity analysis for the MTTF is also investigated.