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Transient analysis of piecewise homogeneous Markov fluid models

Author

Listed:
  • Salah Al-Deen Almousa

    (Budapest University of Technology and Economics)

  • Gábor Horváth

    (Budapest University of Technology and Economics)

  • Miklós Telek

    (Budapest University of Technology and Economics
    MTA-BME Information Systems Research Group)

Abstract

Piecewise homogeneous Markov fluid models are composed by homogeneous intervals where the model is governed by an interval dependent pair of generators and the model behaviour changes at the boundaries. The main difficulty of the transient analysis of piecewise homogeneous Markov fluid models is the appropriate description of the various boundary cases. The paper proposes an analytical approach to handle the wide variety of the possible boundary cases in a relatively simple to describe and implement manner.

Suggested Citation

  • Salah Al-Deen Almousa & Gábor Horváth & Miklós Telek, 2022. "Transient analysis of piecewise homogeneous Markov fluid models," Annals of Operations Research, Springer, vol. 310(2), pages 333-353, March.
    • Handle: RePEc:spr:annopr:v:310:y:2022:i:2:d:10.1007_s10479-020-03831-1
    DOI: 10.1007/s10479-020-03831-1
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    References listed on IDEAS

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    1. Nigel Bean & Małgorzata O’Reilly, 2008. "Performance measures of a multi-layer Markovian fluid model," Annals of Operations Research, Springer, vol. 160(1), pages 99-120, April.
    2. Silva Soares, Ana da & Latouche, Guy, 2009. "Fluid queues with level dependent evolution," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1041-1048, August.
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