Journal ArticleDOI
Queues with Periodic Service and Changeover Time
TLDR
This paper analyzes a queuing model consisting of a system of queues that are attended periodically in a given order by a single server and shows how the moments of these distributions can be calculated.Abstract:
This paper analyzes a queuing model consisting of a system of queues that are attended periodically in a given order by a single server. The server empties each queue before proceeding to the next queue in sequence. A changeover time is required whenever the server switches from one queue to another. For a stationary process expressions are obtained for the Laplace-Stieltjes transforms of the waiting-time and intervisit-time distributions at each queue. It is also shown how the moments of these distributions can be calculated.read more
Citations
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Journal ArticleDOI
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.
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
Polling systems: applications, modeling, and optimization
Hanoch Levy,Moshe Sidi +1 more
TL;DR: The cyclic polling model, its enhancement by customer routing, and the replacement of a fixed polling order by a random polling order are reviewed.
Journal ArticleDOI
Queuing analysis of polling models
TL;DR: An overview of the state of the art of polling model analysis is presented, in particular, single- buffer systems and infinite-buffer systems with exhaustive, gated, and limited service disciplines are treated.
Journal ArticleDOI
Multiqueue systems with nonexhaustive cyclic service
TL;DR: An approximate analysis of the multiqueue system M[x]/G/1 with batch Poisson input, general service times, general overhead (switchover) times, and a single server operating under a cyclic strategy with nonexhaustive service of queues is provided.
References
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Journal ArticleDOI
An Introduction to Probability Theory and Its Applications
David A. Freedman,William Feller +1 more
Book
An introduction to probability theory
TL;DR: The authors introduce probability theory for both advanced undergraduate students of statistics and scientists in related fields, drawing on real applications in the physical and biological sciences, and make probability exciting." -Journal of the American Statistical Association
Journal ArticleDOI
An Introduction to Probability Theory
J. F. C. Kingman,P. A. P. Moran +1 more
TL;DR: This classic text and reference introduces probability theory for both advanced undergraduate students of statistics and scientists in related fields, drawing on real applications in the physical and biological sciences.