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Cost benefit analysis of series systems with warm standby components and general repair time

Author

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  • Kuo-Hsiung Wang
  • Yi-Chun Liu
  • Wen Lea Pearn

Abstract

We study the availability analysis of three different series system configurations with warm standby components and general repair times. The time-to-failure for each of the primary and warm standby components is assumed to be exponentially distributed with respective parameter λ and α. This paper presents a recursive method, using the supplementary variable technique and treating the supplementary variable as the remaining repair time, to develop the steady-state probability distribution of the number of working components in the system. We develop the explicit expressions for the steady-state availability, Av, for three configurations and perform comparisons. For all three configurations, comparisons are made for specific values of distribution parameters and of the cost of the components. The configurations are ranked based on Av and cost/benefit, for three various repair time distributions: exponential, 3-stage Erlang, and deterministic, where benefit is Av. Copyright Springer-Verlag 2005

Suggested Citation

  • Kuo-Hsiung Wang & Yi-Chun Liu & Wen Lea Pearn, 2005. "Cost benefit analysis of series systems with warm standby components and general repair time," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 61(2), pages 329-343, June.
    • Handle: RePEc:spr:mathme:v:61:y:2005:i:2:p:329-343
    DOI: 10.1007/s001860400385
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    Cited by:

    1. Meena, Rakesh Kumar & Jain, Madhu & Sanga, Sudeep Singh & Assad, Assif, 2019. "Fuzzy modeling and harmony search optimization for machining system with general repair, standby support and vacation," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 858-873.
    2. Kayedpour, Farjam & Amiri, Maghsoud & Rafizadeh, Mahmoud & Shahryari Nia, Arash, 2017. "Multi-objective redundancy allocation problem for a system with repairable components considering instantaneous availability and strategy selection," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 11-20.
    3. Kuo, Ching-Chang & Ke, Jau-Chuan, 2016. "Comparative analysis of standby systems with unreliable server and switching failure," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 74-82.
    4. Mohamed S. El-Sherbeny & Zienab M. Hussien, 2019. "Cost analysis of series systems with different standby components and imperfect coverage," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 29(2), pages 21-41.

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