Common-cause failure analysis of a non-identical unit parallel system with arbitrarily distributed repair times

Abstract

This paper presents common-cause failure analysis of a two non-identical unit parallel system with arbitrarily distributed repair times. Laplace transforms of state probability equations are developed by using the supplementary variable technique. A general formular for the system steady-state availability is developed for gamma distributed repair times. Time-dependent availability analysis is presented for the case when failed system repair times are gamma distributed with β = 2.