A new repair model and its optimization for cold standby system

Junyuan Wang () and Jimin Ye ()
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Junyuan Wang: Xidian University
Jimin Ye: Xidian University

Operational Research, 2022, vol. 22, issue 1, No 4, 105-122

Abstract: Abstract In this paper, we propose a new repair model for a cold standby system, which consists of two components and one repairman. It is assumed that the consecutive working time follows decreasing geometric process after repair, and the repair time interval is a constant for component 1. For component 2 (standby component), the failure process during working time follows Generalized Polya Process, which is a generalized version of the nonhomogeneous Poisson process. Component 2 is rectified by Generalized Polya Process repair when it fails. The repair time of component 2 is assumed to be negligible. Component 1 is assumed to have priority in use. The long-run average cost rate function of the system is deduced based on the failure number of component 1. Moreover, the optimal replacement policy of model is established by minimizing the long-run average cost rate function theoretically, which proves the existence and uniqueness of the optimal replacement policy. Numerical examples are provided to verify the effectiveness of the proposed approaches. Sensitivity analysis are conducted to illustrate the influence of parameters under the optimal replacement policy.

Keywords: Geometric process; Generalized Polya Process; Cold standby system; Average cost rate; Optimization (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s12351-020-00545-x

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