IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2012y2012i1n395947.html

Optimal Results and Numerical Simulations for Flow Shop Scheduling Problems

Author

Listed:
  • Tao Ren
  • Yuandong Diao
  • Xiaochuan Luo

Abstract

This paper considers the m‐machine flow shop problem with two objectives: makespan with release dates and total quadratic completion time, respectively. For Fm|rj|Cmax, we prove the asymptotic optimality for any dense scheduling when the problem scale is large enough. For Fm∥ΣCj2, improvement strategy with local search is presented to promote the performance of the classical SPT heuristic. At the end of the paper, simulations show the effectiveness of the improvement strategy.

Suggested Citation

  • Tao Ren & Yuandong Diao & Xiaochuan Luo, 2012. "Optimal Results and Numerical Simulations for Flow Shop Scheduling Problems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:395947
    DOI: 10.1155/2012/395947
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2012/395947
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/395947?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. D Bai & L Tang, 2010. "New heuristics for flow shop problem to minimize makespan," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(6), pages 1032-1040, June.
    2. C. N. Potts, 1985. "Analysis of Heuristics for Two-Machine Flow-Shop Sequencing Subject to Release Dates," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 576-584, November.
    3. C. T. Ng & Natalja M. Matsveichuk & Yuri N. Sotskov & T. C. Edwin Cheng, 2009. "Two-Machine Flow-Shop Minimum-Length Scheduling With Interval Processing Times," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 26(06), pages 715-734.
    4. Bo Chen & Chris N. Potts & Gerhard J. Woeginger, 1998. "A Review of Machine Scheduling: Complexity, Algorithms and Approximability," Springer Books, in: Ding-Zhu Du & Panos M. Pardalos (ed.), Handbook of Combinatorial Optimization, pages 1493-1641, Springer.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Faicel Hnaien & Taha Arbaoui, 2023. "Minimizing the makespan for the two-machine flow shop scheduling problem with random breakdown," Annals of Operations Research, Springer, vol. 328(2), pages 1437-1460, September.
    2. M Haouari & T Ladhari, 2007. "Minimizing maximum lateness in a flow shop subject to release dates," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(1), pages 62-72, January.
    3. Yadong Wang & Baoqiang Fan & Jingang Zhai & Wei Xiong, 2019. "Two-machine flowshop scheduling in a physical examination center," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 363-374, January.
    4. Navid Mortezaei & Norzima Zulkifli, 2013. "Integration of Lot Sizing and Flow Shop Scheduling with Lot Streaming," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    5. Agnetis, Alessandro & Billaut, Jean-Charles & Pinedo, Michael & Shabtay, Dvir, 2025. "Fifty years of research in scheduling — Theory and applications," European Journal of Operational Research, Elsevier, vol. 327(2), pages 367-393.
    6. Yuri N. Sotskov & Natalja M. Matsveichuk & Vadzim D. Hatsura, 2020. "Schedule Execution for Two-Machine Job-Shop to Minimize Makespan with Uncertain Processing Times," Mathematics, MDPI, vol. 8(8), pages 1-51, August.
    7. Michał Ćwik & Jerzy Józefczyk, 2018. "Heuristic algorithms for the minmax regret flow-shop problem with interval processing times," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(1), pages 215-238, March.
    8. Ladhari, Talel & Rakrouki, Mohamed Ali, 2009. "Heuristics and lower bounds for minimizing the total completion time in a two-machine flowshop," International Journal of Production Economics, Elsevier, vol. 122(2), pages 678-691, December.
    9. D Bai & L Tang, 2010. "New heuristics for flow shop problem to minimize makespan," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(6), pages 1032-1040, June.
    10. Pessoa, Luciana S. & Andrade, Carlos E., 2018. "Heuristics for a flowshop scheduling problem with stepwise job objective function," European Journal of Operational Research, Elsevier, vol. 266(3), pages 950-962.
    11. Jiantao Chang & Yuanying Qiu & Xianguang Kong, 2013. "A Novel Output Prediction Method in Production Management Based on Parameter Evaluation Using DHNN," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    12. Deyi Mou & Wanlin Zhao, 2013. "An Irregular Flight Scheduling Model and Algorithm under the Uncertainty Theory," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:395947. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.