Analysis of an unreliable retrial G-queue with working vacations and vacation interruption under Bernoulli schedule
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TLDR
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.About:
This article is published in Ain Shams Engineering Journal.The article was published on 2016-05-06 and is currently open access. It has received 20 citations till now. The article focuses on the topics: Retrial queue.read more
Citations
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Analysis of a single server batch arrival unreliable queue with balking and general retrial time
TL;DR: This model has a potential applications in various fields, such as in the cognitive radio network and the manufacturing systems, and some important performance measures, stochastic decomposition property of the system size distribution and the reliability indices are obtained.
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An M/G/1 Retrial G-Queue with General Retrial Times and Working Breakdowns
Tao Li,Liyuan Zhang +1 more
TL;DR: This paper considers an M/G/1 retrial G-queue with general retrial times, in which the server is subject to working breakdowns and repairs, and applies the embedded Markov chain to obtain the necessary andcient condition for the stability of the system.
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Reliability modeling for repairable circular consecutive-k-out-of-n: F systems with retrial feature
TL;DR: The availability and reliability indices of the general repairable circular consecutive- k -out-of- n : F retrial system are derived by using the methods of supplementary variable and Laplace transform.
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An M/G/1 retrial queue with balking customers and Bernoulli working vacation interruption
Tao Li,Liyuan Zhang,Shan Gao +2 more
TL;DR: By applying the supplementary variable technique, the steady state joint distribution of the server and the number of customers in the orbit is obtained and various interesting performance measures are derived.
Journal ArticleDOI
Performance Analysis of Preemptive Priority Retrial Queueing System with Disaster under Working Breakdown Services
Sherif I. Ammar,P. Rajadurai +1 more
TL;DR: In this investigation, a novel sort of retrial queueing system with working breakdown services is introduced and the probability generating functions (PGF) of the system size is found using the concepts of the supplementary variable technique (SVT).
References
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Journal ArticleDOI
Random neural networks with negative and positive signals and product form solution
TL;DR: A new class of random neural networks in which signals are either negative or positive, and this model, with exponential signal emission intervals, Poisson external signal arrivals, and Markovian signal movements between neurons, has a product form leading to simple analytical expressions for the system state.
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Product-form queueing networks with negative and positive customers
TL;DR: In this article, the authors introduce a new class of queueing networks in which customers are either "negative" or "positive", and show that this model with exponential service times and Poisson external arrivals, with the usual independence assumptions for service times, and Markovian customer movements between queues, has product form.
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M/M/1 queues with working vacations (M/M/1/WV)
L. D. Servi,S. G. Finn +1 more
TL;DR: The classical single server vacation model is generalized to consider a server which works at a different rate rather than completely stops during the vacation period, which approximates a multi-queue system whose service rate is one of the two speeds for which the fast speed mode cyclically moves from queue to queue with an exhaustive schedule.
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Some Conditions for Ergodicity and Recurrence of Markov Chains
TL;DR: Find sufficient conditions for the ergodicity and recurrence of irreducible and aperiodic Markov chains and their use in discussing a certain class of queuing problem with state dependent service times is indicated.