Reward optimization of a repairable system |
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Authors: | I.T. Castro,R. P rez-Oc n |
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Affiliation: | aDepartamento de Matemáticas, Facultad de Veterinaria, Universidad de Extremadura, Avenida de la Universidad, s/n. 10071 Cáceres, Spain;bDepartamento de Estadística e Investigación Operativa, Facultad de Ciencias, Universidad de Granada, Avenida de Severo Ochoa, s/n. 18071 Granada, Spain |
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Abstract: | This paper analyzes a system subject to repairable and non-repairable failures. Non-repairable failures lead to replacement of the system. Repairable failures, first lead to repair but they lead to replacement after a fixed number of repairs. Operating and repair times follow phase type distributions (PH-distributions) and the pattern of the operating times is modelled by a geometric process. In this context, the problem is to find the optimal number of repairs, which maximizes the long-run average reward per unit time. To this end, the optimal number is determined and it is obtained by efficient numerical procedures. |
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Keywords: | Geometric process Phase type distribution Replacement Optimization reward Markov chain |
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