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Please use this identifier to cite or link to this item: https://elib.bsu.by/handle/123456789/264987
Title: Analysis of multiserver retrial queueing system with varying capacity and parameters
Authors: Dudin, A.N.
Dudina, O.S.
Keywords: ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика
Issue Date: 2015
Publisher: Hindawi Publishing Corporation
Citation: Math Probl Eng 2015;2015.
Abstract: A multiserver queueing system, the dynamics of which depends on the state of some external continuous-time Markov chain (random environment, RE), is considered. Change of the state of the RE may cause variation of the parameters of the arrival process, the service process, the number of available servers, and the available buffer capacity, as well as the behavior of customers. Evolution of the system states is described by the multidimensional continuous-time Markov chain. The generator of this Markov chain is derived. The ergodicity condition is presented. Expressions for the key performance measures are given. Numerical results illustrating the behavior of the system and showing possibility of formulation and solution of optimization problems are provided. The importance of the account of correlation in the arrival processes is numerically illustrated.
URI: https://elib.bsu.by/handle/123456789/264987
DOI: 10.1155/2015/180481
Scopus: 84938613840
Appears in Collections:Статьи факультета прикладной математики и информатики

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