A finite-buffer queue with a single vacation policy: an analytical study with evolutionary positioning

Marcin Woźniak ; Wojciech M. Kempa ; Marcin Gabryel ; Robert K. Nowicki

International Journal of Applied Mathematics and Computer Science, Tome 24 (2014), p. 887-900 / Harvested from The Polish Digital Mathematics Library

Résumé

In this paper, application of an evolutionary strategy to positioning a GI/M/1/N-type finite-buffer queueing system with exhaustive service and a single vacation policy is presented. The examined object is modeled by a conditional joint transform of the first busy period, the first idle time and the number of packets completely served during the first busy period. A mathematical model is defined recursively by means of input distributions. In the paper, an analytical study and numerical experiments are presented. A cost optimization problem is solved using an evolutionary strategy for a class of queueing systems described by exponential and Erlang distributions.

Détail

Publié le : 2014-01-01

Zbl 1309.90021

EUDML-ID : urn:eudml:doc:271880

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