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

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.

Citation

Yaghoubi, A., Niaki, S.T.A. and Rostamzadeh, H. (2020), "A closed-form equation for steady-state availability of cold standby repairable k-out-of-n: G systems", International Journal of Quality & Reliability Management, Vol. 37 No. 1, pp. 145-155. https://doi.org/10.1108/IJQRM-08-2018-0212