Estimate of Stationary Probabilities of States of the <i>GI / G / &#8734;</i> Queueing System by Importance Sampling

Nikolay Yu.  Kuznetsov; Igor N. Kuznetsov

doi:10.1615/JAutomatInfScien.v48.i2.20

Journal of Automation and Information Sciences

Editor chefe: Arkadiy A. Chikriy (open in a new tab)

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

Publicou 12 edições por ano

ISSN Imprimir: 1064-2315

ISSN On-line: 2163-9337

Indexed in

Estimate of Stationary Probabilities of States of the GI / G / ∞ Queueing System by Importance Sampling

Volume 48, Edição 2, 2016, pp. 2-10

DOI: 10.1615/JAutomatInfScien.v48.i2.20

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Nikolay Yu. Kuznetsov
V.M. Glushkov Institute of Cybernetics National Academy of Sciences of Ukraine, Kiev, Ukraine

Igor N. Kuznetsov
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Institute of Physics and Technology of National Technical University of Ukraine "Kiev Polytechnic Institute", Kiev

RESUMO

The GI / G / ∞ queueing system in heavy traffic is investigated. The fast simulation method enabling one to construct asymptotically unbiased estimates of stationary probabilities is proposed. Numerical examples are considered.

Palavras-chave: telecommunications networks, GI / G / ∞, queueing system, stationary probabilities, asymptotically unbiased estimates, importance sampling

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