Modelling and analysis of Markovian continuous flow systems with a finite buffer
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Author(s)
Tan, Baris
Gershwin, Stanley B.
Date Issued
August 2009
Journal
Annals of Operations Research
Publisher
Springer
Citation
Tan, Barış, and Stanley B. Gershwin. “Modelling and Analysis of Markovian Continuous Flow Systems with a Finite Buffer.” Annals of Operations Research 182.1 (2009) : 5-30. Copyright © 2009, Springer Science+Business Media, LLC
Version
Author's final manuscript
Abstract
In this study, a Markovian fluid flow system with two stages separated by a finite buffer is
considered. Fluid flow models have been analyzed extensively to evaluate the performance of
production, computer, and telecommunication systems. Recently, we developed a methodology
to analyze general Markovian continuous flow systems with a finite buffer. The flexibility of this
methodology allows us to analyze a wide range of systems by specifying the transition rates and
the flow rates associated with each state of each stage. In this study, in order to demonstrate
the applicability of our methodology, we model and analyze a range of models studied in the
literature. The examples we analyze as special cases of our general model include systems with
phase-type failure and repair-time distributions, systems with machines that have multiple up
and down states, and systems with multiple unreliable machines in series or parallel in each
stage. For each case, the Markovian model is developed, the transition and flow rates are
determined, and representative numerical results are obtained by using our methodology.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s10479-009-0612-6
