Modelling and analysis of Markovian continuous flow systems with a finite buffer
Author(s)
Tan, Baris; Gershwin, Stanley B.
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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.
Date issued
2009-08Department
Massachusetts Institute of Technology. Department of Mechanical EngineeringJournal
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
ISSN
0254-0330
1572-9338