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Reliability analysis of a two-dissimilar-unit warm standby repairable system with priority in use

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  • Jinting Wang
  • Nan Xie
  • Nan Yang

Abstract

In this paper, a warm standby repairable system consisting of two dissimilar units and one repairman is studied. There are two failure modes, i.e. hardware failure and human error failure, for each unit. Once one of the units failed, it is sent to the repairman for repair immediately. Assume that working time distributions of the two units are exponential and the repair time distributions are arbitrarily general. After repair, both unit 1 and unit 2 are as good as new. Suppose that the switch is reliable and the switching time (if any) is instantaneous. Unit 1 has priority in use. By using Markov renewal method, some reliability measures such as the first failure time distribution, the mean time to the first failure, the system’s steady-state availability, and the expectation of system failure numbers in the interval (0,t] are obtained.

Suggested Citation

  • Jinting Wang & Nan Xie & Nan Yang, 2021. "Reliability analysis of a two-dissimilar-unit warm standby repairable system with priority in use," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(4), pages 792-814, February.
    • Handle: RePEc:taf:lstaxx:v:50:y:2021:i:4:p:792-814
    DOI: 10.1080/03610926.2019.1642488
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    Cited by:

    1. Levitin, Gregory & Xing, Liudong & Dai, Yanshun, 2021. "Joint optimal mission aborting and replacement and maintenance scheduling in dual-unit standby systems," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    2. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2024. "Allocation and activation of resource constrained shock-exposed components in heterogeneous 1-out-of-n standby system," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    3. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Standby mode transfer schedule minimizing downtime of 1-out-of-N system with storage," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    4. Levitin, Gregory & Xing, Liudong & Dai, Yanshun, 2022. "Minimum cost replacement and maintenance scheduling in dual-dissimilar-unit standby systems," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    5. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Heterogeneous 1-out-of-n standby systems with limited unit operation time," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    6. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Predetermined standby mode transfers in 1-out-of-N systems with resource-constrained elements," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    7. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Optimal sequencing of elements activation in 1-out-of-n warm standby system with storage," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    8. Levitin, Gregory & Xing, Liudong & Xiang, Yanping, 2021. "Optimal multiple replacement and maintenance scheduling in two-unit systems," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    9. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Co-optimizing component allocation and activation sequence in heterogeneous 1-out-of-n standby system exposed to shocks," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    10. Alka Chaudhary & Nidhi Sharma & Suman Jaiswal, 2024. "Stochastic model analysis of a noodles manufacturing system," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(9), pages 4283-4290, September.
    11. Juan Zhao & Ehmet Kasim, 2023. "Study of Dynamic Solutions for Human–Machine System with Human Error and Common-Cause Failure," Mathematics, MDPI, vol. 11(12), pages 1-29, June.

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