A bibliographical guide to the analysis of retrial queues through matrix analytic techniques

Abstract

This paper provides a bibliographical guide to researchers who are interested in the analysis of retrial queues through matrix analytic methods. It includes an author index and a subject index of research papers written in English and published in journals or collective publications, as well as some papers accepted for a forthcoming publication.Keywords Markov chain of GI/M/1-type . Markov chain of M/G/1-type . Matrix-analytic method . Quasi-birth-and-death process . Retrial queue Preliminary commentsOver the last two decades a good deal of progress has been made in the analysis of retrial queues through matrix analytic techniques, and high quality research papers have appeared in diverse journals and conference proceedings in the field of applied probability, computer sciences, operations research and stochastic modelling.This paper claims to be a bibliographical guide to the use of matrix analytic techniques in retrial queues. Its main objective is to make the related bibliography accessible to researchers and, hopefully, to graduate students and practitioners. It includes an author index and a subject index of research papers written in English and published, or accepted for publication, in journals or collective publications. With permission of the corresponding authors, a few papers submitted for potential publication are also included.In the author index, we add a set of keywords per paper. Keywords are listed in alphabetical order and seek briefly to show the queueing model under study, the probabilistic descriptors of interest, and the tools closely related to those matrix analytic techniques used by the authors. However, we point out that they do not necessarily correspond to the list of keywords provided by the authors. Following standard terminology, we mainly group the methods for finding the descriptors under study into the three paradigms popularized by Neuts: Markov A. Gómez-Corral

Analyzing retrial queues by censoring

“…Readers are also referred to surveys in this area, including [1,7,17], and [22]. A more recent list of references can be found in [10] and in the new book [2], which focuses on computational approaches.…”

MRSPN analysis of Semi-Markovian finite source retrial queues

“…Therefore, the analysis of retrial queueing systems is very difficult. In order to analyze the performance of these systems, an important number of different approximating approaches and algorithms are proposed (Abramov 2006;Artalejo and Gomez-Corral 1995;Artalejo and Pozo 2002;Berjdoudj and Aïssani 2004;Gomez-Corral 2006;Lopez-Herrero 2006;Stepanov 1983;Yang et al 1994).…”

M/M/1 Retrial Queueing System With Vacation Interruptions Under Pre-Emptive Priority Service

“…In this paper we introduce this vacation interruption policy for retrial queueing system with priority service. The concept of vacation interruption was discussed by Jihong Li and Naishuo Tian [10] in the working vacation under classical queueing models who described it as…”