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Optimizing Series Repairable Systems with Imperfect Repair

Optimizing Series Repairable Systems with Imperfect Repair

Mohammed Hajeeh
Copyright: © 2011 |Volume: 2 |Issue: 2 |Pages: 11
ISSN: 1947-9328|EISSN: 1947-9336|EISBN13: 9781613508763|DOI: 10.4018/joris.2011040105
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MLA

Hajeeh, Mohammed. "Optimizing Series Repairable Systems with Imperfect Repair." IJORIS vol.2, no.2 2011: pp.92-102. http://doi.org/10.4018/joris.2011040105

APA

Hajeeh, M. (2011). Optimizing Series Repairable Systems with Imperfect Repair. International Journal of Operations Research and Information Systems (IJORIS), 2(2), 92-102. http://doi.org/10.4018/joris.2011040105

Chicago

Hajeeh, Mohammed. "Optimizing Series Repairable Systems with Imperfect Repair," International Journal of Operations Research and Information Systems (IJORIS) 2, no.2: 92-102. http://doi.org/10.4018/joris.2011040105

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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.

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