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Review of the ordered and proportionate flow shop scheduling research

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  • S.S. Panwalkar
  • Milton L. Smith
  • Christos Koulamas

Abstract

Ordered flow shop models have appeared in the literature since the mid‐1970s and proportionate flow shop models have appeared since the early 1980s. We provide a detailed review of these models along with some analysis and potential topics for future research. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2013

Suggested Citation

  • S.S. Panwalkar & Milton L. Smith & Christos Koulamas, 2013. "Review of the ordered and proportionate flow shop scheduling research," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(1), pages 46-55, February.
    • Handle: RePEc:wly:navres:v:60:y:2013:i:1:p:46-55
    DOI: 10.1002/nav.21518
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    19. Della Croce, Federico & Gupta, Jatinder N. D. & Tadei, Roberto, 2000. "Minimizing tardy jobs in a flowshop with common due date," European Journal of Operational Research, Elsevier, vol. 120(2), pages 375-381, January.
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    23. Choi, Byung-Cheon & Lee, Kangbok & Leung, Joseph Y.-T. & Pinedo, Michael L., 2010. "Flow shops with machine maintenance: Ordered and proportionate cases," European Journal of Operational Research, Elsevier, vol. 207(1), pages 97-104, November.
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    Cited by:

    1. Xinyu Sun & Xin-Na Geng & Tao Liu, 2020. "Due-window assignment scheduling in the proportionate flow shop setting," Annals of Operations Research, Springer, vol. 292(1), pages 113-131, September.
    2. Koulamas, Christos & Kyparisis, George J., 2023. "Two-stage no-wait proportionate flow shop scheduling with minimal service time variation and optional job rejection," European Journal of Operational Research, Elsevier, vol. 305(2), pages 608-616.
    3. Jin Qian & Haiyan Han, 2022. "Improved algorithms for proportionate flow shop scheduling with due-window assignment," Annals of Operations Research, Springer, vol. 309(1), pages 249-258, February.
    4. Myoung-Ju Park & Byung-Cheon Choi & Yunhong Min & Kyung Min Kim, 2020. "Two-Machine Ordered Flow Shop Scheduling with Generalized Due Dates," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 37(01), pages 1-16, January.
    5. Shabtay, Dvir & Gilenson, Miri, 2023. "A state-of-the-art survey on multi-scenario scheduling," European Journal of Operational Research, Elsevier, vol. 310(1), pages 3-23.
    6. S. S. Panwalkar & Christos Koulamas, 2020. "Three-stage ordered flow shops with either synchronous flow, blocking or no-idle machines," Journal of Scheduling, Springer, vol. 23(1), pages 145-154, February.
    7. Gur Mosheiov & Assaf Sarig & Vitaly Strusevich, 2020. "Minmax scheduling and due-window assignment with position-dependent processing times and job rejection," 4OR, Springer, vol. 18(4), pages 439-456, December.
    8. Lee, Kangbok & Zheng, Feifeng & Pinedo, Michael L., 2019. "Online scheduling of ordered flow shops," European Journal of Operational Research, Elsevier, vol. 272(1), pages 50-60.
    9. Christoph Hertrich & Christian Weiß & Heiner Ackermann & Sandy Heydrich & Sven O. Krumke, 2020. "Scheduling a proportionate flow shop of batching machines," Journal of Scheduling, Springer, vol. 23(5), pages 575-593, October.
    10. Yu, Tae-Sun & Pinedo, Michael, 2020. "Flow shops with reentry: Reversibility properties and makespan optimal schedules," European Journal of Operational Research, Elsevier, vol. 282(2), pages 478-490.
    11. Christoph Hertrich & Christian Weiß & Heiner Ackermann & Sandy Heydrich & Sven O. Krumke, 2022. "Online algorithms to schedule a proportionate flexible flow shop of batching machines," Journal of Scheduling, Springer, vol. 25(6), pages 643-657, December.
    12. S.S. Panwalkar & Christos Koulamas, 2015. "On equivalence between the proportionate flow shop and single‐machine scheduling problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(7), pages 595-603, October.
    13. S.S. Panwalkar & Christos Koulamas, 2015. "Proportionate flow shop: New complexity results and models with due date assignment," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(2), pages 98-106, March.
    14. Yu, Tae-Sun & Han, Jun-Hee, 2021. "Scheduling proportionate flow shops with preventive machine maintenance," International Journal of Production Economics, Elsevier, vol. 231(C).

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