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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Veröffentlicht in:Annals of operations research Jg. 311; H. 1; S. 401 - 415
Hauptverfasser: Wang, Junyuan, Ye, Jimin, Ma, Qianru, Xie, Pengfei
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer US 01.04.2022
Springer
Springer Nature B.V
Schlagworte:
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
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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.
AbstractList 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.
Audience Academic
Author Ye, Jimin
Wang, Junyuan
Ma, Qianru
Xie, Pengfei
Author_xml – sequence: 1
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  surname: Wang
  fullname: Wang, Junyuan
  organization: School of Mathematics and Statistics, Xidian University
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  givenname: Jimin
  orcidid: 0000-0003-0421-2900
  surname: Ye
  fullname: Ye, Jimin
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  organization: School of Mathematics and Statistics, Xidian University
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  givenname: Qianru
  surname: Ma
  fullname: Ma, Qianru
  organization: School of Mathematics and Statistics, Xidian University
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  givenname: Pengfei
  surname: Xie
  fullname: Xie, Pengfei
  organization: School of Mathematics and Statistics, Xidian University
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CitedBy_id crossref_primary_10_1080_03610926_2020_1869991
crossref_primary_10_1002_nav_22175
crossref_primary_10_3390_math10132263
crossref_primary_10_3390_axioms14040275
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ContentType Journal Article
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Issue 1
Keywords Reward theorem
Average cost rate
Vacation
Extended geometric process
System
Optimal policy
Language English
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Snippet 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...
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SubjectTerms 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
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Title An extended geometric process repairable model with its repairman having vacation
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