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Mathematical Methods to Study Classical Queuing Systems Read chapter Read first chapter

2020 | OriginalPaper | Chapter

2. Methods to Study Queuing Systems with Correlated Arrivals

Authors : Alexander N. Dudin, Valentina I. Klimenok, Vladimir M. Vishnevsky

Published in: The Theory of Queuing Systems with Correlated Flows

Publisher: Springer International Publishing

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Abstract

A popular model of correlated arrival processes is the Batch Markovian Arrival Process. In this chapter, we define this process and consider its basic properties, particular cases and some its generalizations. Analysis of performance characteristics of queuing systems with this arrival process requires consideration of multidimensional (at least two-dimensional) Markov processes. Therefore, for the use in the following chapters here we briefly present the known in the literature results for multidimensional Markov chains with several kinds of special structure of the generator or transition probability matrix. Some of these results were originally obtained in the papers of authors of this book.

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previous chapter Mathematical Methods to Study Classical Queuing Systems
next chapter Queuing Systems with Waiting Space and Correlated Arrivals and Their Application to Evaluation of Network Structure Performance
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Metadata
Title
Methods to Study Queuing Systems with Correlated Arrivals
Authors
Alexander N. Dudin
Valentina I. Klimenok
Vladimir M. Vishnevsky
Copyright Year
2020
Book
The Theory of Queuing Systems with Correlated Flows

Print ISBN: 978-3-030-32071-3

Electronic ISBN: 978-3-030-32072-0

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-32072-0_2

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