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Paper details
Number 4 - December 2014
Volume 24 - 2014
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
Abstract
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.
Keywords
finite-buffer queue, evolutionary strategy, object positioning, queueing system, busy period, idle time, single vacation