Lifetime replacement policy in discrete time for a single unit system |
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Authors: | I. T. Castro Attahiru Sule Alfa |
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Affiliation: | a Departamento de Matemáticas, Facultad de Veterinaria, Avenida de la Universidad s/n, Universidad de Extremadura, 10071, Cáceres, Spain;b Department of Electrical and Computer Engineering, University of Manitoba, 15 Gillson Street, Winnipeg, Man. R3T 5V6, Canada |
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Abstract: | We consider, in discrete time, a single unit system which operates for a period of time represented by a general distribution. This unit is subjected to failures during operations. Some of these failures are repairable and the unit is repaired in the repair facility. When the unit experiences a non-repairable failure then it has to be replaced with a new one. We consider a replacement policy based on the lifetime of the unit. This policy can be studied from two different approaches. The first approach, named Model I, is to replace the unit by a new one when the unit attains a predetermined lifetime. The other approach, named Model II, is to close repair facility when the lifetime of the unit attains a predetermined quantity. For each model, we obtain the stationary distribution and some performance measures of interest. |
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Keywords: | Phase type distribution Markov chain Replacement policy |
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