A discrete-time Geo[X]/G/1 retrial queue with control of admission

被引：44

作者：

Artalejo, JR ^{[1
]}

Atencia, I

Moreno, P

机构：

[1] Univ Complutense Madrid, Fac Math, Dept State & OR, E-28040 Madrid, Spain

[2] Univ Malaga, ETSI Telecommun, Dept Matemat Aplicada, E-29071 Malaga, Spain

[3] Unit Pablo de Olavide, Fac Ciencias Empresariales, Dept Econ & Empresa, Seville 41013, Spain

来源：

APPLIED MATHEMATICAL MODELLING | 2005年 / 29卷 / 11期

关键词：

control of admission; discrete-tirne model; Markov chain; maximum entropy; numerical inversion; stochastic decomposition;

D O I：

10.1016/j.apm.2005.02.005

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper analyses a discrete-time Geo/G/1 retrial queue with batch arrivals in which individual arriving customers have a control of admission. We study the underlying Markov chain at the epochs immediately after the slot boundaries making emphasis on the computation of its steady-state distribution. To this end we employ numerical inversion and maximum entropy techniques. We also establish a stochastic decomposition property and prove that the continuous-time M/G/1 retrial queue with batch arrivals and control of admission can be approximated by our discrete-time system. The outcomes agree with known results for special cases. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：1100 / 1120

页数：21

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