An extended geometric process repairable model with its repairman having vacation

Junyuan Wang (), Jimin Ye (), Qianru Ma () and Pengfei Xie ()
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Junyuan Wang: Xidian University
Jimin Ye: Xidian University
Qianru Ma: Xidian University
Pengfei Xie: Xidian University

Annals of Operations Research, 2022, vol. 311, issue 1, No 25, 415 pages

Abstract: Abstract In this paper, a new single component repairable system model with a repairman is proposed. Assume that the successive working time interval of the component and the successive repair time interval after repair is described by the extended geometric process. The repairman has multiple vacation when the component is working, and component is repaired delayed with a given probability when it fails. The component will work again when it repaired. Under the assumption, the explicit expression of the long-run average cost rate function of the system based on the failure number of the component is derived. Numerical cases are designed to illustrate the long-run average cost rate function of the proposed model. Finally, sensitive analysis of parameters is carried out.

Keywords: Extended geometric process; Vacation; System; Average cost rate; Reward theorem; Optimal policy (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10479-019-03187-1

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