Reliability modelling and analysis of a non repairable series-parallel system

Abstract

Performance of a non repairable system may be enhancing using highly reliable structural design of the system or subsystem of higher reliability. The present study deals with the reliability modeling of a non repairable series-parallel system under three types of failures. Type I failure is unit failure from the same subsystem, type II is a failure of one unit from each subsystem while type III is a failure of all units from the same subsystem due to common cause. To each failure, the failed units are replaced with identical new ones.  Markov models are developed and differential equations are derived to obtain the steady state availability, busy period of repairmen, profit function and mean time to system failure. Graphs are drawn to highlight the behavior of the results.