Modelling and analysis of Markovian continuous flow systems with a finite buffer
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 Mar...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Springer
2011
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| Online Access: | http://hdl.handle.net/1721.1/65420 https://orcid.org/0000-0002-1124-7143 |
| _version_ | 1826210426905427968 |
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| author | Tan, Baris Gershwin, Stanley B. |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Tan, Baris Gershwin, Stanley B. |
| author_sort | Tan, Baris |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T14:49:18Z |
| format | Article |
| id | mit-1721.1/65420 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:49:18Z |
| publishDate | 2011 |
| publisher | Springer |
| record_format | dspace |
| spelling | mit-1721.1/654202022-09-29T10:46:58Z Modelling and analysis of Markovian continuous flow systems with a finite buffer Tan, Baris Gershwin, Stanley B. Massachusetts Institute of Technology. Department of Mechanical Engineering Gershwin, Stanley B. Gershwin, Stanley B. 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. Turkish Academy of Sciences Scientific and Technical Research Council of Turkey (TUBITAK) Singapore-MIT Alliance General Motors Research and Development Center 2011-08-26T21:39:40Z 2011-08-26T21:39:40Z 2009-08 Article http://purl.org/eprint/type/JournalArticle 0254-0330 1572-9338 http://hdl.handle.net/1721.1/65420 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 https://orcid.org/0000-0002-1124-7143 en_US http://dx.doi.org/10.1007/s10479-009-0612-6 Annals of Operations Research 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. application/pdf Springer Gershwin |
| spellingShingle | Tan, Baris Gershwin, Stanley B. Modelling and analysis of Markovian continuous flow systems with a finite buffer |
| title | Modelling and analysis of Markovian continuous flow systems with a finite buffer |
| title_full | Modelling and analysis of Markovian continuous flow systems with a finite buffer |
| title_fullStr | Modelling and analysis of Markovian continuous flow systems with a finite buffer |
| title_full_unstemmed | Modelling and analysis of Markovian continuous flow systems with a finite buffer |
| title_short | Modelling and analysis of Markovian continuous flow systems with a finite buffer |
| title_sort | modelling and analysis of markovian continuous flow systems with a finite buffer |
| url | http://hdl.handle.net/1721.1/65420 https://orcid.org/0000-0002-1124-7143 |
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