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Optimizing Series Repairable Systems with Imperfect Repair

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  • Mohammed Hajeeh

    (Kuwait Institute for Scientific Research, Kuwait)

Abstract

Repairable systems are either repaired perfectly to a state of as good as new or imperfectly. In this work, a system which undergoes imperfect repair is investigated. A nonlinear mathematical model is formulated for a system with the objective of finding the optimum failure and repair rate with the minimum costs subject to attaining a pre-specified performance level. Two imperfect repair models are examined. In the first model, the system is replaced by a new one after several failures. In the second model, the system is either replaced with a specific probability (1-p) or is imperfectly repaired after each failure with probability p. The optimal solution is presented in a closed form expression.

Suggested Citation

  • Mohammed Hajeeh, 2011. "Optimizing Series Repairable Systems with Imperfect Repair," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 2(2), pages 92-102, April.
    • Handle: RePEc:igg:joris0:v:2:y:2011:i:2:p:92-102
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