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A summary of discrete replacement policies. (English) Zbl 0541.90046

Summary: This paper summarizes replacement models with discrete variables: (i) Three standard age, block and periodic replacement policies are rewritten as discrete time models. (ii) Four models are considered where the unit is replaced after a specified number of failures, shocks, repairs and preventive maintenances have occurred. Optimal policies to minimize the expected cost rates are also discussed. (iii) Two discrete problems of a parallel redundant system which determine the total number of failed units and the number of all units are considered. Finally, extended models with two variables are introduced.

MSC:

90B25 Reliability, availability, maintenance, inspection in operations research
90C90 Applications of mathematical programming
90-02 Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming
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References:

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