Analysis of multiserver retrial queueing system with varying capacity and parameters
type: Item
instance of: scholarly article
title: Analysis of multiserver retrial queueing system with varying capacity and parameters
zbMATH Open document ID: 1394.90197
DOI: 10.1155/2015/180481
author: Alexander Dudin
author: Olga Dudina
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 6925679
MaRDI profile type: Publication
Wikidata QID: Q59117499
full work available at URL: https://doi.org/10.1155/2015/180481
OpenAlex ID: W1570537951
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description: scientific article; zbMATH DE number 6925679