A closed-form equation for steady-state availability of cold standby repairable k-out-of-n

Abstract

Purpose The purpose of this paper is to derive a closed-form expression for the steady-state availability of a cold standby repairable k-out-of-n system. This makes the availability calculation much easier and accurate. Design/methodology/approach Assuming exponential distributions for system failure and repair, the Markov method is employed to derive the formula. Findings The proposed formula establishes an easier and faster venue and provides accurate steady-state availability. Research limitations/implications The formula is valid for the case when the probability density function of the component failure and the repair is exponential. Originality/value The Markov method has never been used in the literature to derive the steady-state availability of a cold standby repairable k-out-of-n: G system.