Optimal Operating Policy for an M/G/1 Exhaustive Server-Vacation Model |
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Authors: | Lillo R. E. |
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Affiliation: | (1) Dpto. de Estad´stica y Econometr´a, Universidad Carlos III de Madrid, C) Madrid 126, 28903 Getafe, Madrid, Spain |
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Abstract: | We consider an M/G/1 queueing system controlled by an exhaustive server–vacation policy, i.e, the server is turned off whenever the system becomes empty and it is turned on after a random time with at least a customer present in the system. In this paper, it is proved that there exists an exhaustive optimal policy which is of the form X + a(T - X)+, where, starting with the server off, X represents the time for the first arrival and T and a are non-negative real numbers. Using a classical average cost structure, the optimization problem is treated under the asymptotic average criterion. A structured definition of exhaustive policy is also derived. |
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Keywords: | control of queues optimal policy exhaustive policy vacation model |
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