An extended geometric process repairable model with its repairman having vacation

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...

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Bibliographic Details
Published in:Annals of operations research Vol. 311; no. 1; pp. 401 - 415
Main Authors: Wang, Junyuan, Ye, Jimin, Ma, Qianru, Xie, Pengfei
Format: Journal Article
Language:English
Published: New York Springer US 01.04.2022
Springer
Springer Nature B.V
Subjects:
Business and Management
Combinatorics
Cost analysis
Failure
Mathematical models
Operations research
Operations Research/Decision Theory
Parameter sensitivity
Random variables
Reliability (Engineering)
Repair & maintenance
Repair services industry
Repair time
S.I.: Reliability Modeling with Applications Based on Big Data
Stochastic models
Theory of Computation
Vacations
Working hours
China
Reward theorem
Average cost rate
Vacation
Extended geometric process
System
Optimal policy
ISSN:0254-5330, 1572-9338
Online Access:Get full text
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Summary: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.
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content type line 14
ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-019-03187-1