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A New Decomposition Approach for Non-Cyclic Continuous Material Flow Lines with a Merging Flow of Material

Author

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  • Stefan Helber
  • Hanifa Jusić

Abstract

We extend the decomposition approaches for flow lines with unreliable machines and limited buffer capacity as proposed by Gershwin and refined by Dallery, David, and Xie and by Burman by incorporating a new building block in the decomposition. This new building block is a three-machine, one buffer system which models a merging flow of material. While previous decomposition approaches led to a decomposition of the original network into virtual two-machine lines, we now use both virtual two- and three-machine lines. This requires a new set of decomposition equations for the virtual machines of the two-machine lines that surround the new building block modelling the merge. We present these equations, show how to solve them in an algorithm and present numerical results for non-cyclic networks in order to determine production rate and inventory level estimates. Copyright Kluwer Academic Publishers 2004

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:125:y:2004:i:1:p:117-139:10.1023/b:anor.0000011188.11019.33
    DOI: 10.1023/B:ANOR.0000011188.11019.33
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    Citations

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    Cited by:

    1. 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.
    2. Barış Tan & Stanley Gershwin, 2011. "Modelling and analysis of Markovian continuous flow systems with a finite buffer," Annals of Operations Research, Springer, vol. 182(1), pages 5-30, January.
    3. Ünsal Özdoğru & Tayfur Altiok, 2015. "Continuous material flow systems: analysis of marine ports handling bulk materials," Annals of Operations Research, Springer, vol. 231(1), pages 79-104, August.
    4. 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.
    5. Sachs, F.E. & Helber, S. & Kiesmüller, G.P., 2022. "Evaluation of Unreliable Flow Lines with Limited Buffer Capacities and Spare Part Provisioning," European Journal of Operational Research, Elsevier, vol. 302(2), pages 544-559.

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