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Availability and cost-benefit evaluation for a repairable retrial system with warm standbys and priority

Jia Kang ,

School of Science, Yanshan University, Qinhuangdao, People's Republic of China

Linmin Hu ,

School of Science, Yanshan University, Qinhuangdao, People's Republic of China

linminhu@ysu.edu.cn

Rui Peng ,

School of Economics and Management, Beijing University of Technology, Beijing, People's Republic of China

Yan Li ,

School of Science, Hebei University of Science and Technology, Shijiazhuang, People's Republic of China

Ruiling Tian

School of Science, Yanshan University, Qinhuangdao, People's Republic of China

Pages | Received 24 May. 2022, Accepted 21 Nov. 2022, Published online: 05 Dec. 2022,
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This paper investigates a warm standby repairable retrial system with two types of components and a single repairman, where type 1 components have priority over type 2 in use. Failure and repair times for each type of component are assumed to be exponential distributions. The retrial feature is considered and the retrial time of each failed component is exponentially distributed. By using Markov process theory and matrix-analytic method, the system steady-state probabilities are derived, and the system steady-state availability and some steady-state performance indices are obtained. Using the Bayesian approach, the system parameters can be estimated. The cost-benefit ratio function of the system is constructed based on the failed components and repairman's states. Numerical experiments are given to evaluate the effect of each parameter on the system steady-state availability and optimize the system cost-benefit ratio with repair rate as a decision variable.

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To cite this article: Jia Kang, Linmin Hu, Rui Peng, Yan Li & Ruiling Tian (2023) Availability and cost-benefit evaluation for a repairable retrial system with warm standbys and priority, Statistical Theory and Related Fields, 7:2, 164-175, DOI: 10.1080/24754269.2022.2152591

To link to this article: https://doi.org/10.1080/24754269.2022.2152591