A cold standby repairable system with the repairman having multiple vacations and operational, repair, and vacation times following phase-type distributions

Baoliang Liu, Lirong Cui, Yanqing Wen and Furi Guo

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 4, 850-858

Abstract: This paper studies a cold standby repairable system with two identical components and one repairman having multiple vacations applying matrix-analytic methods. The lifetime of the component follows a phase-type distribution. The repair times and the vacation times of the repairman are governed by different phase-type distributions, respectively. For this system, the Markov process governing the system is constructed. The system is studied in a transient and stationary regime, the availability, the reliability, the rates of occurrence of the different types of failures, and the working probability of the repairman are calculated, respectively. A numerical application is performed to illustrate the calculations.

Date: 2016
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DOI: 10.1080/03610926.2013.851239

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