IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v47y2000i3p259-268.html
   My bibliography  Save this article

Asymptotically optimal linear time algorithms for two‐stage and three‐stage flexible flow shops

Author

Listed:
  • Christos Koulamas
  • George J. Kyparisis

Abstract

We consider two‐stage and three‐stage flexible flow shops with parallel machines in each stage and the minimum makespan objective. We develop linear time algorithms for these problems with absolute worst‐case bounds either sharper or no worse than the currently available ones and we accomplish this with lower complexity algorithms. We also demonstrate the asymptotic optimality of a class of algorithms for multistage flexible flow shop problems (which includes the proposed algorithms) under certain probabilistic assumptions on the job processing times. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 259–268, 2000

Suggested Citation

  • Christos Koulamas & George J. Kyparisis, 2000. "Asymptotically optimal linear time algorithms for two‐stage and three‐stage flexible flow shops," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(3), pages 259-268, April.
    • Handle: RePEc:wly:navres:v:47:y:2000:i:3:p:259-268
    DOI: 10.1002/(SICI)1520-6750(200004)47:33.0.CO;2-K
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/(SICI)1520-6750(200004)47:33.0.CO;2-K
    Download Restriction: no
    File URL: https://libkey.io/10.1002/(SICI)1520-6750(200004)47:33.0.CO;2-K?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. Hoogeveen, J. A. & Lenstra, J. K. & Veltman, B., 1996. "Preemptive scheduling in a two-stage multiprocessor flow shop is NP-hard," European Journal of Operational Research, Elsevier, vol. 89(1), pages 172-175, February.
    2. Sergey Sevast'janov, 1995. "Vector Summation in Banach Space and Polynomial Algorithms for Flow Shops and Open Shops," Mathematics of Operations Research, INFORMS, vol. 20(1), pages 90-103, February.
    3. E. G. Coffman & E. N. Gilbert, 1985. "On the Expected Relative Performance of List Scheduling," Operations Research, INFORMS, vol. 33(3), pages 548-561, June.
    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. George J. Kyparisis & Christos Koulamas, 2002. "Assembly-Line Scheduling with Concurrent Operations and Parallel Machines," INFORMS Journal on Computing, INFORMS, vol. 14(1), pages 68-80, February.
    2. Gupta, Jatinder N.D. & Koulamas, Christos & Kyparisis, George J., 2006. "Performance guarantees for flowshop heuristics to minimize makespan," European Journal of Operational Research, Elsevier, vol. 169(3), pages 865-872, March.
    3. A. G. Leeftink & R. J. Boucherie & E. W. Hans & M. A. M. Verdaasdonk & I. M. H. Vliegen & P. J. Diest, 2018. "Batch scheduling in the histopathology laboratory," Flexible Services and Manufacturing Journal, Springer, vol. 30(1), pages 171-197, June.
    4. Joaquín Bautista-Valhondo & Rocío Alfaro-Pozo, 2020. "Mixed integer linear programming models for Flow Shop Scheduling with a demand plan of job types," 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. 28(1), pages 5-23, March.
    5. Christos Koulamas & George J. Kyparisis, 1998. "Open shop scheduling to minimize the number of late jobs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(5), pages 525-532, August.
    6. Zhang, Xiandong & van de Velde, Steef, 2012. "Approximation algorithms for the parallel flow shop problem," European Journal of Operational Research, Elsevier, vol. 216(3), pages 544-552.
    7. C N Potts & V A Strusevich, 2009. "Fifty years of scheduling: a survey of milestones," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 41-68, May.
    8. Djellab, Housni & Djellab, Khaled, 2002. "Preemptive Hybrid Flowshop Scheduling problem of interval orders," European Journal of Operational Research, Elsevier, vol. 137(1), pages 37-49, February.
    9. Figielska, Ewa, 2014. "A heuristic for scheduling in a two-stage hybrid flowshop with renewable resources shared among the stages," European Journal of Operational Research, Elsevier, vol. 236(2), pages 433-444.
    10. Kamran Kianfar & Arezoo Atighehchian, 2023. "A hybrid heuristic approach to master surgery scheduling with downstream resource constraints and dividable operating room blocks," Annals of Operations Research, Springer, vol. 328(1), pages 727-754, September.
    11. Niu, Qun & Zhou, Taijin & Fei, Minrui & Wang, Bing, 2012. "An efficient quantum immune algorithm to minimize mean flow time for hybrid flow shop problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 84(C), pages 1-25.
    12. Mohamed Haouari & Lotfi Hidri & Anis Gharbi, 2006. "Optimal Scheduling of a Two-stage Hybrid Flow Shop," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(1), pages 107-124, August.
    13. Negenman, Ebbe G., 2001. "Local search algorithms for the multiprocessor flow shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 128(1), pages 147-158, January.
    14. J M Framinan & J N D Gupta & R Leisten, 2004. "A review and classification of heuristics for permutation flow-shop scheduling with makespan objective," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(12), pages 1243-1255, December.
    15. Moursli, O. & Pochet, Y., 2000. "A branch-and-bound algorithm for the hybrid flowshop," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 113-125, March.
    16. Kis, Tamas & Pesch, Erwin, 2005. "A review of exact solution methods for the non-preemptive multiprocessor flowshop problem," European Journal of Operational Research, Elsevier, vol. 164(3), pages 592-608, August.
    17. Kyparisis, George J. & Koulamas, Christos, 2006. "Flexible flow shop scheduling with uniform parallel machines," European Journal of Operational Research, Elsevier, vol. 168(3), pages 985-997, February.
    18. Gerstl, Enrique & Mosheiov, Gur, 2014. "A two-stage flexible flow shop problem with unit-execution-time jobs and batching," International Journal of Production Economics, Elsevier, vol. 158(C), pages 171-178.
    19. Jianming Dong & Ruyan Jin & Jueliang Hu & Guohui Lin, 2019. "A fully polynomial time approximation scheme for scheduling on parallel identical two-stage openshops," Journal of Combinatorial Optimization, Springer, vol. 37(2), pages 668-684, February.
    20. F Sivrikaya şerifoğlu & G Ulusoy, 2004. "Multiprocessor task scheduling in multistage hybrid flow-shops: a genetic algorithm approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(5), pages 504-512, May.

    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:navres:v:47:y:2000:i:3:p:259-268. 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://doi.org/10.1002/(ISSN)1520-6750 .

    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.