1. A finite-buffer queue with a single vacation policy: An analytical study with evolutionary positioning
- Author
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Woźniak Marcin, Kempa Wojciech M., Gabryel Marcin, and Nowicki Robert K.
- Subjects
finite-buffer queue ,evolutionary strategy ,object positioning ,queueing system ,busy period ,idle time ,single vacation ,Mathematics ,QA1-939 ,Electronic computers. Computer science ,QA75.5-76.95 - 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.
- Published
- 2014
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