Modeling and evaluation of MTSF of 2-out-of-5 warm standby repairable system with replacement at common cause failure

Abstract

Studies on common cause failures are numerous. Little is done on the effect of common cause failure on measures of system effectiveness like mean time to system failure (MTSF). This paper deals with the modeling and evaluation of MTSF of 2-out-of-5 warm standby repairable system with replacement at the occurrence of each common cause failure. Using Kolmogorov’s forward equations method, derivations for mean time to system failure, are presented in this paper. Also numerical illustrations for the mean time to system failure with replacement at each common cause failures and with replacement at system failure only are presented. Comparisons are made based on assumed numerical values for the two mean time to system failure.