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Acta Universitatis Sapientiae, Mathematica

The Journal of "Sapientia" Hungarian University of Transylvania

Managing Editor: Szasz , Robert

2 Issues per year


CiteScore 2016: 0.12

SCImago Journal Rank (SJR) 2016: 0.111
Source Normalized Impact per Paper (SNIP) 2016: 0.165

Mathematical Citation Quotient (MCQ) 2015: 0.14

Open Access
Online
ISSN
2066-7752
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Volume 5, Issue 2 (Dec 2013)
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Performance evaluation of two Markovian retrial queueing model with balking and feedback

A. A. Bouchentouf / F. Belarbi
Published Online: 2014-06-06 | DOI: https://doi.org/10.2478/ausm-2014-0009

Abstract

In this paper, we consider the performance evaluation of two retrial queueing system. Customers arrive to the system, if upon arrival, the queue is full, the new arriving customers either move into one of the orbits, from which they make a new attempts to reach the primary queue, until they find the server idle or balk and leave the system, these later, and after getting a service may comeback to the system requiring another service. So, we derive for this system, the joint distribution of the server state and retrial queue lengths. Then, we give some numerical results that clarify the relationship between the retrials, arrivals, balking rates, and the retrial queue length.

Keywords : and phrasesqueueing models; retrial queues; balking; joint distribution function; confluent hypergeometric functions

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About the article

Received: 2013-11-15

Published Online: 2014-06-06

Published in Print: 2013-12-01


Citation Information: Acta Universitatis Sapientiae, Mathematica, ISSN (Online) 2066-7752, DOI: https://doi.org/10.2478/ausm-2014-0009.

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© 2014. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. BY-NC-ND 3.0

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