Modelling Complex Queuing Situations with Markov Processes

Jason Thorne

Modelling Complex Queuing Situations with Markov Processes

Jason Thorne

Research output: Book chapter/Published conference paper › Conference paper › peer-review

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Abstract

This article comments upon some new developments in the field of Queuing Theory and Markov Processes. Matrix--analytic methods are used to solve particular kinds of a Markov Processes. The level dependent quasi--birth-- death process (LDQBD) is an example of a matrix-analytic model, and in this article we give the background on how queues are modelled with Markov Processes which leads to some new mathematics to overcome problems in modelling particular situations. We conclude by outlining new methods used to numerically calculate results for a LDQBD process.

Original language	English
Title of host publication	1st international conference on information technology and applications, ICITA 2002
Editors	David Tien
Place of Publication	Bathurst, Australia
Publisher	Charles Sturt University
Pages	1-6
Number of pages	6
ISBN (Electronic)	1864671149
Publication status	Published - 2002
Event	International Conference on Information Technology and Applications - Bathurst, NSW, Australia Duration: 25 Nov 2002 → 29 Nov 2002

Conference

Conference	International Conference on Information Technology and Applications
Country/Territory	Australia
Period	25/11/02 → 29/11/02

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Modelling Complex Queuing Situations with Markov ProcessesAccepted author manuscript, 186 KB

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title = "Modelling Complex Queuing Situations with Markov Processes",

abstract = "This article comments upon some new developments in the field of Queuing Theory and Markov Processes. Matrix--analytic methods are used to solve particular kinds of a Markov Processes. The level dependent quasi--birth-- death process (LDQBD) is an example of a matrix-analytic model, and in this article we give the background on how queues are modelled with Markov Processes which leads to some new mathematics to overcome problems in modelling particular situations. We conclude by outlining new methods used to numerically calculate results for a LDQBD process.",

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N2 - This article comments upon some new developments in the field of Queuing Theory and Markov Processes. Matrix--analytic methods are used to solve particular kinds of a Markov Processes. The level dependent quasi--birth-- death process (LDQBD) is an example of a matrix-analytic model, and in this article we give the background on how queues are modelled with Markov Processes which leads to some new mathematics to overcome problems in modelling particular situations. We conclude by outlining new methods used to numerically calculate results for a LDQBD process.

AB - This article comments upon some new developments in the field of Queuing Theory and Markov Processes. Matrix--analytic methods are used to solve particular kinds of a Markov Processes. The level dependent quasi--birth-- death process (LDQBD) is an example of a matrix-analytic model, and in this article we give the background on how queues are modelled with Markov Processes which leads to some new mathematics to overcome problems in modelling particular situations. We conclude by outlining new methods used to numerically calculate results for a LDQBD process.

KW - Open access version available

M3 - Conference paper

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BT - 1st international conference on information technology and applications, ICITA 2002

A2 - Tien, David

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CY - Bathurst, Australia

T2 - International Conference on Information Technology and Applications

Y2 - 25 November 2002 through 29 November 2002

ER -

Modelling Complex Queuing Situations with Markov Processes

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