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Transient analysis of piecewise homogeneous Markov fluid models

Salah Al-Deen Almousa (), Gábor Horváth () and Miklós Telek ()
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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

Annals of Operations Research, 2022, vol. 310, issue 2, No 2, 333-353

Abstract: 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.

Keywords: Piecewise homogeneous Markov fluid models; Transient solution; Laplace transform; Numerical analysis (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10479-020-03831-1

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