Modelling Complex Queuing Situations with Markov Processes

Jason Thorne

    Research output: Book chapter/Published conference paperConference paper

    1 Citation (Scopus)
    8 Downloads (Pure)

    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 languageEnglish
    Title of host publication1st international conference on information technology and applications, ICITA 2002
    EditorsDavid Tien
    Place of PublicationBathurst, Australia
    PublisherCharles Sturt University
    Pages1-6
    Number of pages6
    ISBN (Electronic)1864671149
    Publication statusPublished - 2002
    EventInternational Conference on Information Technology and Applications - Bathurst, NSW, Australia
    Duration: 25 Nov 200229 Nov 2002

    Conference

    ConferenceInternational Conference on Information Technology and Applications
    CountryAustralia
    Period25/11/0229/11/02

    Fingerprint

    Queuing
    Markov Process
    Birth-death Process
    Modeling
    Matrix Analytic Methods
    Queuing Theory
    Dependent
    Queue
    Calculate
    Model

    Cite this

    Thorne, J. (2002). Modelling Complex Queuing Situations with Markov Processes. In D. Tien (Ed.), 1st international conference on information technology and applications, ICITA 2002 (pp. 1-6). Bathurst, Australia: Charles Sturt University.
    Thorne, Jason. / Modelling Complex Queuing Situations with Markov Processes. 1st international conference on information technology and applications, ICITA 2002. editor / David Tien. Bathurst, Australia : Charles Sturt University, 2002. pp. 1-6
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    Thorne, J 2002, Modelling Complex Queuing Situations with Markov Processes. in D Tien (ed.), 1st international conference on information technology and applications, ICITA 2002. Charles Sturt University, Bathurst, Australia, pp. 1-6, International Conference on Information Technology and Applications, Australia, 25/11/02.

    Modelling Complex Queuing Situations with Markov Processes. / Thorne, Jason.

    1st international conference on information technology and applications, ICITA 2002. ed. / David Tien. Bathurst, Australia : Charles Sturt University, 2002. p. 1-6.

    Research output: Book chapter/Published conference paperConference paper

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    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.

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    Thorne J. Modelling Complex Queuing Situations with Markov Processes. In Tien D, editor, 1st international conference on information technology and applications, ICITA 2002. Bathurst, Australia: Charles Sturt University. 2002. p. 1-6