A closed-form equation for steady-state availability of cold standby repairable k-out-of-n: G systems. Issue 1 (9th September 2019)

• Record Type: Journal Article
• Authors: Yaghoubi, Afshin; Niaki, Seyed Taghi Akhavan; Rostamzadeh, Hadi
• Is Part Of: International journal of quality & reliability management. Volume 37:Issue 1(2020)
• Page Start: 145
• Page End: 155
• Publication Date: 2019-09-09
• Subjects: Redundancy -- Steady-state availability -- k-out-of-n system -- Cold standby; Quality control -- Periodicals; 658.562
• DOI: 10.1108/IJQRM-08-2018-0212
• Languages: English
• ISSNs: 0265-671X

Abstract

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.