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

Nakagawa, Toshio

Eur. J. Oper. Res. 17, 382-392 (1984).

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

Keywords:

reliability; optimization; stochastic processes; replacement models with discrete variables; periodic replacement; preventive maintenances; expected cost

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