On multiserver feedback retrial queue with finite buffer
TLDR
This paper deals with a multiserver feedback retrial queueing system with finite waiting position and constant retrial rate, analyzed as a quasi-birth-and-death process, and the necessary and sufficient condition for stability of the system is investigated.About:
This article is published in Applied Mathematical Modelling.The article was published on 2009-04-01 and is currently open access. It has received 39 citations till now. The article focuses on the topics: Retrial queue & Matrix geometric method.read more
Citations
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Journal ArticleDOI
Single server retrial queues with two way communication
Jesús R. Artalejo,Tuan Phung-Duc +1 more
TL;DR: The main aim of this paper is to study the steady state behavior of an M/G/1-type retrial queue in which there are two flows of arrivals namely ingoing calls made by regular customers and outgoing calls making by the server when it is idle.
Journal ArticleDOI
Reliability and availability analysis of a retrial system with mixed standbys and an unreliable repair facility
Shan Gao,Jinting Wang +1 more
TL;DR: Numerical examples are presented to show the effects of system parameters on the reliability function, steady-state availability and MTTF and to analyze the optimization problem of the cost-effectiveness ratio.
Journal ArticleDOI
An efficient computation algorithm for a multiserver feedback retrial queue with a large queueing capacity
TL;DR: In this paper, the steady state probabilities for the M/M/c/N+c feedback queue with constant retrial rate were derived based on the Sturm sequences and the number of zero-eigenvalues of the characteristic matrix polynomial associated with the balance equation.
Journal ArticleDOI
An M/M/C retrial queueing system with Bernoulli vacations
TL;DR: Using matrix-geometric approach, various interesting and important system performance measures are obtained and extensive numerical illustrations are presented to indicate the quantifying nature of the approach to obtain solutions to this queueing system.
Journal ArticleDOI
Geo/Geo/1 retrial queue with non-persistent customers and working vacations
Zaiming Liu,Yang Song +1 more
TL;DR: In this article, the authors considered a Geo/Geo/1 retrial queue with nonpersistent customers and working vacations, and developed the recursive formulae for the stationary distribution by using matrix-geometric solution method.
References
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Matrix-geometric solutions in stochastic models : an algorithmic approach
TL;DR: In this paper, a mathematical text suitable for students of engineering and science who are at the third year undergraduate level or beyond is presented, which is a book of applicable mathematics, which avoids the approach of listing only the techniques, followed by a few examples.
MonographDOI
Introduction to matrix analytic methods in stochastic modeling
TL;DR: This chapter discusses quasi-Birth-and-Death Processes, a large number of which are based on the Markovian Point Processes and the Matrix-Geometric Distribution, as well as algorithms for the Rate Matrix.
Journal ArticleDOI
A survey of retrial queues
TL;DR: A survey of the main results and methods of the theory of retrial queues, concentrating on Markovian single and multi-channel systems, as well as models with batch arrivals, multiclasses, customer impatience, double connection, control devices, two-way communication and buffer.