Modeling of Retrial Queueing System <i>GI/G/m</i>/0/ /1/<i>G</i> by the Monte Carlo Method

Olga N. Dyshlyuk; Elena V. Koba; Svetlana V. Pustova

doi:10.1615/JAutomatInfScien.v45.i10.20

Journal of Automation and Information Sciences

Éditeur en chef: Arkadiy A. Chikriy (open in a new tab)

Éditeur associés: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Publication de 12 numéros par an

ISSN Imprimer: 1064-2315

ISSN En ligne: 2163-9337

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Modeling of Retrial Queueing System GI/G/m/0/ /1/G by the Monte Carlo Method

Volume 45, Numéro 10, 2013, pp. 5-13

DOI: 10.1615/JAutomatInfScien.v45.i10.20

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Olga N. Dyshlyuk
National Aviation University, Kiev, Ukraine

Elena V. Koba
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine

Svetlana V. Pustova
National Aviation University, Kiev, Ukraine

RÉSUMÉ

Multichannel retrial queueing system GI/G/m/0/ /1/G (with recurrent input flow and orbit of single capacity) is under consideration. Distribution functions of intervals between moments of calls arrival to system, service and sojourn times of retrials have general form. We suggest algorithm of statistical modeling of such system in order to estimate stationary probability of calls loss. Numerical and graphical results are given.

MOTS CLÉS: multichannel retrial queueing system, recurrent input flow, orbit of single capacity, distribution functions, intervals between moments of calls arrival, service and sojourn times of retrials, algorithm of statistical modeling, estimate

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