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Optimizing Series Repairable Systems with Imperfect Repair

Mohammed Hajeeh
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Mohammed Hajeeh: Kuwait Institute for Scientific Research, Kuwait

International Journal of Operations Research and Information Systems (IJORIS), 2011, vol. 2, issue 2, 92-102

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.

Date: 2011
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