Analysis of an M[X]/(G1, G2)/1 retrial queueing system with balking, optional re-service under modified vacation policy and service interruption
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In this paper, the steady state analysis of batch arrival retrial queueing system with two types of service under modified vacation policy, where each type consists of an optional re-service.About:
This article is published in Ain Shams Engineering Journal.The article was published on 2014-09-01 and is currently open access. It has received 15 citations till now. The article focuses on the topics: Balk.read more
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On an unreliable-server retrial queue with customer feedback and impatience
TL;DR: This system is analyzed as a process of quasi-birth-and-death (QBD) where the quasi-progression algorithm is applied to compute the rate matrix of QBD model, and a recursive solver algorithm for computing the stationary probabilities is developed.
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A study on M/G/1 feedback retrial queue with subject to server breakdown and repair under multiple working vacation policy
TL;DR: In this article, a single server feedback retrial queueing system with multiple working vacations and vacation interruption is considered and the steady state probability generating function for the system size is obtained by using the supplementary variable method.
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On an unreliable retrial queue with general repeated attempts and J optional vacations
TL;DR: In this paper, the authors considered a single-server retrial queue with constant retrial rate and batch arrivals, in which the unreliable server has the option to take an additional vacation after the first essential vacation.
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Analysis of an unreliable retrial G-queue with working vacations and vacation interruption under Bernoulli schedule
TL;DR: In this paper, a single server retrial queueing system with working vacations is considered, where the regular busy server is subjected to breakdown due to the arrival of negative customers, and the server goes for a working vacation when the orbit becomes empty at the time of service completion for a positive customer.
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Analysis of an M [X] /G/1 unreliable retrial G -queue with orbital search and feedback under Bernoulli vacation schedule
TL;DR: This paper considers a batch arrival retrial queue with feedback under Bernoulli vacation schedule, where the busy server is subjected to breakdown due to the arrival of negative customers.
References
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Queueing systems with vacations—a survey
TL;DR: This survey gives an overview of some general decomposition results and the methodology used to obtain these results for two vacation models and attempts to provide a methodological overview to illustrate how the seemingly diverse mix of problems is closely related in structure and can be understood in a common framework.
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Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations
S. W. Fuhrmann,Robert B. Cooper +1 more
TL;DR: In this article, the authors considered a class of M/G/1 queueing models with a server who is unavailable for occasional intervals of time and showed that the stationary number of customers present in the system at a random point in time is distributed as the sum of two or more independent random variables.
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Accessible bibliography on retrial queues: Progress in 2000-2009
TL;DR: 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.