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Probabilistic models for analyzing the availability and profit of a deteriorating 2-out-of-4 system

Author

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  • Ibrahim Yusuf
  • Michał Mursztyn

Abstract

This paper deals with modelling and evaluating the availability and profit of a linear consecutive 2-out-of-4 system exposed to three consecutive stages of deterioration before failure. The system will pass through three consecutive stages of deterioration: slow, medium and fast before failure. The failure and repair times are assumed to be exponentially distributed. Explicit expressions for the system availability, the probability of a repairman being busy due to the failure of a unit, or due to the replacement of failed units, and the profit function have been derived using a probabilistic approach. The impacts of the failure and repair rate on system availability and profit have been investigated. The results of this paper will enhance system performance and ensure the timely execution of appropriate maintenance and improvement, and thus is a major tool for decision making, planning and optimisation.

Suggested Citation

  • Ibrahim Yusuf & Michał Mursztyn, 2016. "Probabilistic models for analyzing the availability and profit of a deteriorating 2-out-of-4 system," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 26(4), pages 91-100.
    • Handle: RePEc:wut:journl:v:4:y:2016:p:91-100:id:1201
    DOI: 10.5277/ord160406
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    References listed on IDEAS

    as
    1. Barron, Yonit & Frostig, Esther & Levikson, Benny, 2006. "Analysis of R out of N systems with several repairmen, exponential life times and phase type repair times: An algorithmic approach," European Journal of Operational Research, Elsevier, vol. 169(1), pages 202-225, February.
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