IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v238y2016i1d10.1007_s10479-015-2070-7.html
   My bibliography  Save this article

Flow shop non-idle scheduling and resource-constrained scheduling

Author

Listed:
  • Yen-Shing Tsai

    (National Chiao Tung University
    National United University)

  • Bertrand M. T. Lin

    (National Chiao Tung University)

Abstract

In a two-machine flow shop, the problem seeks to select and schedule jobs such that the processing of the selected jobs does not contain any idle time. The objective is to maximize the number of selected jobs. The problem is studied in the context of a resource-constrained scheduling problem. An $$O(n^2)$$ O ( n 2 ) dynamic programming algorithm is proposed. The problem becomes ordinary NP-hard when job weights are introduced. A heuristic is designed and its performance ratio is analysed to be 3.

Suggested Citation

  • Yen-Shing Tsai & Bertrand M. T. Lin, 2016. "Flow shop non-idle scheduling and resource-constrained scheduling," Annals of Operations Research, Springer, vol. 238(1), pages 577-585, March.
    • Handle: RePEc:spr:annopr:v:238:y:2016:i:1:d:10.1007_s10479-015-2070-7
    DOI: 10.1007/s10479-015-2070-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-015-2070-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10479-015-2070-7?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Edward Ignall & Linus Schrage, 1965. "Application of the Branch and Bound Technique to Some Flow-Shop Scheduling Problems," Operations Research, INFORMS, vol. 13(3), pages 400-412, June.
    2. E H Kaplan, 1986. "Relocation Models for Public Housing Redevelopment Programs," Environment and Planning B, , vol. 13(1), pages 5-19, March.
    3. Della Croce, F. & Narayan, V. & Tadei, R., 1996. "The two-machine total completion time flow shop problem," European Journal of Operational Research, Elsevier, vol. 90(2), pages 227-237, April.
    4. B. M. T. Lin & J. M. Wu, 2005. "A Simple Lower Bound For Total Completion Time Minimization In A Two-Machine Flowshop," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 22(03), pages 391-407.
    5. M. R. Garey & D. S. Johnson & Ravi Sethi, 1976. "The Complexity of Flowshop and Jobshop Scheduling," Mathematics of Operations Research, INFORMS, vol. 1(2), pages 117-129, May.
    6. Kaplan, Edward H. & Amir, Amihood, 1988. "A fast feasibility test for relocation problems," European Journal of Operational Research, Elsevier, vol. 35(2), pages 201-206, May.
    7. Della Croce, F. & Ghirardi, M. & Tadei, R., 2002. "An improved branch-and-bound algorithm for the two machine total completion time flow shop problem," European Journal of Operational Research, Elsevier, vol. 139(2), pages 293-301, 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. Yen-Shing Tsai & Bertrand Lin, 2016. "Flow shop non-idle scheduling and resource-constrained scheduling," Annals of Operations Research, Springer, vol. 238(1), pages 577-585, March.
    2. S Yanai & T Fujie, 2006. "A three-machine permutation flow-shop problem with minimum makespan on the second machine," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(4), pages 460-468, April.
    3. Detienne, Boris & Sadykov, Ruslan & Tanaka, Shunji, 2016. "The two-machine flowshop total completion time problem: Branch-and-bound algorithms based on network-flow formulation," European Journal of Operational Research, Elsevier, vol. 252(3), pages 750-760.
    4. Wang, Ling & Sun, Lin-Yan & Sun, Lin-Hui & Wang, Ji-Bo, 2010. "On three-machine flow shop scheduling with deteriorating jobs," International Journal of Production Economics, Elsevier, vol. 125(1), pages 185-189, May.
    5. J. A. Hoogeveen & T. Kawaguchi, 1999. "Minimizing Total Completion Time in a Two-Machine Flowshop: Analysis of Special Cases," Mathematics of Operations Research, INFORMS, vol. 24(4), pages 887-910, November.
    6. Federico Della Croce & Andrea Grosso & Fabio Salassa, 2014. "A matheuristic approach for the two-machine total completion time flow shop problem," Annals of Operations Research, Springer, vol. 213(1), pages 67-78, February.
    7. Mohamed Ali Rakrouki & Anis Kooli & Sabrine Chalghoumi & Talel Ladhari, 2020. "A branch-and-bound algorithm for the two-machine total completion time flowshop problem subject to release dates," Operational Research, Springer, vol. 20(1), pages 21-35, March.
    8. Lin, Bertrand M.T. & Lin, Y.-Y. & Fang, K.-T., 2013. "Two-machine flow shop scheduling of polyurethane foam production," International Journal of Production Economics, Elsevier, vol. 141(1), pages 286-294.
    9. 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.
    10. 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.
    11. Baptiste, Pierre, 2006. "Stochastic algorithms: Using the worst to reach the best," International Journal of Production Economics, Elsevier, vol. 99(1-2), pages 41-51, February.
    12. M Haouari & T Ladhari, 2003. "A branch-and-bound-based local search method for the flow shop problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(10), pages 1076-1084, October.
    13. Della Croce, F. & Ghirardi, M. & Tadei, R., 2002. "An improved branch-and-bound algorithm for the two machine total completion time flow shop problem," European Journal of Operational Research, Elsevier, vol. 139(2), pages 293-301, June.
    14. Lei Shang & Christophe Lenté & Mathieu Liedloff & Vincent T’Kindt, 2018. "Exact exponential algorithms for 3-machine flowshop scheduling problems," Journal of Scheduling, Springer, vol. 21(2), pages 227-233, April.
    15. Jan Gmys, 2022. "Exactly Solving Hard Permutation Flowshop Scheduling Problems on Peta-Scale GPU-Accelerated Supercomputers," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2502-2522, September.
    16. Lin, B.M.T. & Lu, C.Y. & Shyu, S.J. & Tsai, C.Y., 2008. "Development of new features of ant colony optimization for flowshop scheduling," International Journal of Production Economics, Elsevier, vol. 112(2), pages 742-755, April.
    17. Lee, Wen-Chiung & Wu, Chin-Chia, 2004. "Minimizing total completion time in a two-machine flowshop with a learning effect," International Journal of Production Economics, Elsevier, vol. 88(1), pages 85-93, March.
    18. Chung, Chia-Shin & Flynn, James & Kirca, Omer, 2002. "A branch and bound algorithm to minimize the total flow time for m-machine permutation flowshop problems," International Journal of Production Economics, Elsevier, vol. 79(3), pages 185-196, October.
    19. Sayin, Serpil & Karabati, Selcuk, 1999. "A bicriteria approach to the two-machine flow shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 113(2), pages 435-449, March.
    20. Olivier Ploton & Vincent T’kindt, 2023. "Moderate worst-case complexity bounds for the permutation flowshop scheduling problem using Inclusion–Exclusion," Journal of Scheduling, Springer, vol. 26(2), pages 137-145, April.

    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:spr:annopr:v:238:y:2016:i:1:d:10.1007_s10479-015-2070-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.