Journal ArticleDOI
A discrete-time retrial queue with negative customers and unreliable server
Jinting Wang,Peng Zhang +1 more
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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.About:
This article is published in Computers & Industrial Engineering.The article was published on 2009-05-01. It has received 73 citations till now. The article focuses on the topics: Retrial queue.read more
Citations
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Stochastic decomposition for retrial queues
Jesús R. Artalejo,G. I. Falin +1 more
TL;DR: The stochastic decomposition property for retrial queues is dealt with and the moments of the number of customers in orbit and the rate of convergence under high retrial intensity can be obtained.
Journal ArticleDOI
Bibliography on G-networks, negative customers and applications
TL;DR: This work presents a bibliography on G-networks, negative customers and the use of G- Networks,negative customers and triggers to various performance analysis problems, which can represent control processes in networks.
Journal ArticleDOI
An M/G/1 retrial queue with an unreliable server and general repair times
TL;DR: An M/G/1 type queueing system with an unreliable server is considered and the joint distribution of the server state, the number of customers in the queue and the number in the retrial group is found in a steady state when both the service time and repair time have general distributions.
Journal ArticleDOI
A new computational algorithm for retrial queues to cellular mobile systems with guard channels
TL;DR: A new numerically stable and efficient algorithm is constructed that can tackle the problem of large number of channels, very efficiently, and it is proved that the distribution of the number of calls in the orbit is the ''mixture'' of geometric distributions in the presence of the guard channel concept.
Journal ArticleDOI
An initiative for a classified bibliography on G-networks
TL;DR: The initiative to collect and classify a bibliography on G-networks, which is the unified model for queueing networks and neural networks, is reported.
References
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Journal ArticleDOI
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.
Journal ArticleDOI
Queueing analysis: A foundation of performance evaluation: Hideaki Takagi, vol. I: Vacation and priority systems, part I (1991), xii + 488 pp., ISBN 0-444-88910-8, Vol. II: Finite systems (1993), 560 pp., ISBN 0-444-81614-3, Vol. III: Discrete-time systems (1993), 484 pp., ISBN 0-444-81611-9, North-Holland, Amsterdam
Book
Discrete-time models for communication systems including ATM
Herwig Bruneel,B.G. Kim +1 more
TL;DR: This chapter discusses Discrete-Time Models and Applications, Applications to ATM, and more, which describes the development of the GI-G-1 Model and its applications.