Accessible bibliography on retrial queues: Progress in 2000-2009
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A bibliography on retrial queues which updates the bibliography published in this journal in Artalejo (1999) is presented, focused on the progress made during the last decade 2000-2009.About:
This article is published in Mathematical and Computer Modelling.The article was published on 2010-05-01 and is currently open access. It has received 263 citations till now.read more
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Journal ArticleDOI
A survey of retrial queueing systems
Jeongsim Kim,Bara Kim +1 more
TL;DR: The main focus of this survey is to show analytic results for queue length distributions, waiting time distribution, and tail asymptotics for the queue length and waiting time distributions.
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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.
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A discrete-time retrial queue with negative customers and unreliable server
Jinting Wang,Peng Zhang +1 more
TL;DR: The Markov chain underlying the queueing system and its ergodicity condition is analyzed and the generating functions of the number of customers in the orbit and in the system are obtained along with the marginal distributions of the orbit size when the server is idle, busy or down.
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Markovian retrial queues with two way communication
Jesús R. Artalejo,P.D. Tuan +1 more
TL;DR: This paper considers single server retrial queues with two way communication and derives explicit expressions for the joint stationary distribution of the number of ingoing calls in the orbit and the state of the server, the partial factorial moments as well as their generating functions.
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Reliability and availability analysis of standby systems with working vacations and retrial of failed components
Dong-Yuh Yang,Chih-Lung Tsao +1 more
TL;DR: The reliability function and mean-time-to-failure (MTTF) based on the Laplace transform technique is developed and numerical examples are given to assess the effects of system parameters on the system reliability, MTTF, and steady-state availability.
References
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M/M/1 retrial queue with working vacations
TL;DR: The closed form solution in equilibrium for the retrial M/M/1 queue with working vacations is derived, and it is shown that the conditional stochastic decomposition holds for this model as well.
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A batch arrival retrial queueing system with two phases of service and service interruption
TL;DR: This paper deals with the steady-state behavior of an M^X/G/1 retrial queue with an additional second phase of optional service and service interruption where breakdowns occur randomly at any instant while the server is serving the customers.
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Performance Analysis of a Block-Structured Discrete-Time Retrial Queue with State-Dependent Arrivals
Jesús R. Artalejo,Quan-Lin Li +1 more
TL;DR: A new discrete block state-dependent arrival (D-BSDA) distribution is introduced which provides fresh insights leading to a successful generalization of the discrete-time Markovian arrival process ( D-MAP).
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A batch arrival retrial queue with two phases of service and Bernoulli vacation schedule
Gautam Choudhury,Kandarpa Deka +1 more
TL;DR: In this paper, the authors considered an M X /G/1 queueing system with two phases of heterogeneous service and Bernoulli vacation schedule which operate under a linear retrial policy.