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Reliability and availability analysis of standby systems with working vacations and retrial of failed components

Dong-Yuh Yang and Chih-Lung Tsao

Reliability Engineering and System Safety, 2019, vol. 182, issue C, 46-55

Abstract: In this paper, we consider a repairable system consisting of M primary components, S spare components, and a repairman. In cases where none of the components in the system is failed, the repairman leaves the system for multiple vacations. During a vacation period, the repairman lowers the repair rate rather than halting repairs together. The system does not include a waiting space. If a failed component finds the repairman free upon arrival, then it immediately occupies the repairman and is being repaired. If a failed component does not find a free repairman upon arrival, then it leaves the service area to join the retrial group (orbit) to try again for a repair. For this system, the matrix-analytic method is used to compute the steady-state availability. We develop the reliability function and mean-time-to-failure (MTTF) based on the Laplace transform technique. Numerical examples are given to assess the effects of system parameters on the system reliability, MTTF, and steady-state availability.

Keywords: MTTF; Reliability; Retrial; Steady-state availability; Working vacation (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (21)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:182:y:2019:i:c:p:46-55

DOI: 10.1016/j.ress.2018.09.020

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