# 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 (2014)

- Volume: 24, Issue: 4, page 887-900
- ISSN: 1641-876X

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topMarcin Woźniak, et al. "A finite-buffer queue with a single vacation policy: an analytical study with evolutionary positioning." International Journal of Applied Mathematics and Computer Science 24.4 (2014): 887-900. <http://eudml.org/doc/271880>.

@article{MarcinWoźniak2014,

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.},

author = {Marcin Woźniak, Wojciech M. Kempa, Marcin Gabryel, Robert K. Nowicki},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {finite-buffer queue; evolutionary strategy; object positioning; queueing system; busy period; idle time; single vacation},

language = {eng},

number = {4},

pages = {887-900},

title = {A finite-buffer queue with a single vacation policy: an analytical study with evolutionary positioning},

url = {http://eudml.org/doc/271880},

volume = {24},

year = {2014},

}

TY - JOUR

AU - Marcin Woźniak

AU - Wojciech M. Kempa

AU - Marcin Gabryel

AU - Robert K. Nowicki

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

JO - International Journal of Applied Mathematics and Computer Science

PY - 2014

VL - 24

IS - 4

SP - 887

EP - 900

AB - 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.

LA - eng

KW - finite-buffer queue; evolutionary strategy; object positioning; queueing system; busy period; idle time; single vacation

UR - http://eudml.org/doc/271880

ER -

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