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Cost analysis of series systems with different standby components and imperfect coverage

Author

Listed:
  • Mohamed S. El-Sherbeny
  • Zienab M. Hussien

Abstract

The authors calculate the steady-state availability and the cost-benefit analysis for three different systems with mixed standby (cold standby, warm standby) and imperfect coverage. The coverage factor is the same for an operative-unit failure as that for a warm standby-unit failure. The failure times of the operative unit and the warm standby unit are exponentially distributed while the repair time is arbitrarily distributed. The supplementary variable technique is applied to derive the steady-state availability for three different configurations. For each system, the steady-state availability is calculated according to two different cases for repair time distributions, such as exponential, and k-stage Erlang, where k = 2, 3. The configurations are compared as based on availability and cost/benefit at a special numerical value given to the distribution parameters.

Suggested Citation

  • 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.
    • Handle: RePEc:wut:journl:v:2:y:2019:p:21-41:id:1428
    DOI: 10.37190/ord190202
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    References listed on IDEAS

    as
    1. 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.
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