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A decomposition method for approximate evaluation of continuous flow multi-stage lines with general Markovian machines

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  • Marcello Colledani
  • Stanley Gershwin

Abstract

In this paper, a decomposition method for evaluating the performance of continuous flow lines with machines characterized by general Markovian fluid models and finite capacity buffers is proposed. This study uses the exact solution of general two-stage Markovian fluid models as a building block. Decomposition equations are provided to propagate the effect of partial and complete blocking and starvation phenomena throughout the system. A decomposition algorithm that solves the new decomposition equations is proposed. Numerical results prove the good accuracy of the developed method. In particular, a comparison with existing techniques shows that our method is generally more accurate, especially in the estimation of the average buffer levels. Moreover, additional information can be collected by the application of our approach which enables a deeper analysis of the system behavior. Finally, the generality of the approach allows for modeling and studying many different system configurations within a unique framework, also including several previously uninvestigated layouts. Copyright Springer Science+Business Media, LLC 2013

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  • Marcello Colledani & Stanley Gershwin, 2013. "A decomposition method for approximate evaluation of continuous flow multi-stage lines with general Markovian machines," Annals of Operations Research, Springer, vol. 209(1), pages 5-40, October.
    • Handle: RePEc:spr:annopr:v:209:y:2013:i:1:p:5-40:10.1007/s10479-011-0961-9
    DOI: 10.1007/s10479-011-0961-9
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    References listed on IDEAS

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    1. Stefan Helber & Hanifa Jusić, 2004. "A New Decomposition Approach for Non-Cyclic Continuous Material Flow Lines with a Merging Flow of Material," Annals of Operations Research, Springer, vol. 125(1), pages 117-139, January.
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    6. Tan, BarIs & Gershwin, Stanley B., 2009. "Analysis of a general Markovian two-stage continuous-flow production system with a finite buffer," International Journal of Production Economics, Elsevier, vol. 120(2), pages 327-339, August.
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    Cited by:

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    2. Llanos R. L. F., 2016. "A study on call/contact centers' inbound and outbound management process," South Asian Journal of Management Sciences (SAJMS), Iqra University, Iqra University, vol. 10(2), pages 1-10, Fall.
    3. Jean-Sébastien Tancrez, 2020. "A decomposition method for assembly/disassembly systems with blocking and general distributions," Flexible Services and Manufacturing Journal, Springer, vol. 32(2), pages 272-296, June.
    4. Rivera-Gómez, Héctor & Gharbi, Ali & Kenné, Jean-Pierre & Montaño-Arango, Oscar & Hernández-Gress, Eva Selene, 2018. "Subcontracting strategies with production and maintenance policies for a manufacturing system subject to progressive deterioration," International Journal of Production Economics, Elsevier, vol. 200(C), pages 103-118.
    5. Ziwei Lin & Nicla Frigerio & Andrea Matta & Shichang Du, 2021. "Multi-fidelity surrogate-based optimization for decomposed buffer allocation problems," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(1), pages 223-253, March.
    6. Yifan Zhou & Chao Yuan & Tian Ran Lin & Lin Ma, 2021. "Maintenance policy structure investigation and optimisation of a complex production system with intermediate buffers," Journal of Risk and Reliability, , vol. 235(3), pages 458-473, June.

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