IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v54y2003i10d10.1057_palgrave.jors.2601615.html
   My bibliography  Save this article

On ‘redundant’ constraints in Stafford's MILP model for the flowshop problem

Author

Listed:
  • E F Stafford

    (University of Alabama in Huntsville)

  • F T Tseng

    (University of Alabama in Huntsville)

Abstract

This paper investigates a claim that the 1988 Stafford mixed-integer linear programming model for the flowshop with permutation schedules contained a set of redundant constraints that could be eliminated without loss of model feasibility. This claim is shown to be incorrect mathematically and through the use of a counterexample problem. Eight additional problems were solved to confirm these findings.

Suggested Citation

  • E F Stafford & F T Tseng, 2003. "On ‘redundant’ constraints in Stafford's MILP model for the flowshop problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(10), pages 1102-1105, October.
  • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:10:d:10.1057_palgrave.jors.2601615
    DOI: 10.1057/palgrave.jors.2601615
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/palgrave.jors.2601615
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1057/palgrave.jors.2601615?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. Stafford, Edward F. & Tseng, Fan T., 2002. "Two models for a family of flowshop sequencing problems," European Journal of Operational Research, Elsevier, vol. 142(2), pages 282-293, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. E F Stafford & F T Tseng & J N D Gupta, 2005. "Comparative evaluation of MILP flowshop models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(1), pages 88-101, January.

    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. Ruiz, Ruben & Stutzle, Thomas, 2008. "An Iterated Greedy heuristic for the sequence dependent setup times flowshop problem with makespan and weighted tardiness objectives," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1143-1159, June.
    2. Tamás Hajba & Zoltán Horváth, 2013. "New effective MILP models for PFSPs arising from real applications," 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. 21(4), pages 729-744, December.
    3. Tseng, Fan T. & Stafford, Edward F. & Gupta, Jatinder N. D., 2004. "An empirical analysis of integer programming formulations for the permutation flowshop," Omega, Elsevier, vol. 32(4), pages 285-293, August.
    4. Allahverdi, Ali & Ng, C.T. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2008. "A survey of scheduling problems with setup times or costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 985-1032, June.
    5. Tamás Hajba & Zoltán Horváth, 2015. "MILP models for the optimization of real production lines," 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. 23(4), pages 899-912, December.
    6. F T Tseng & E F Stafford, 2008. "New MILP models for the permutation flowshop problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(10), pages 1373-1386, October.
    7. E F Stafford & F T Tseng & J N D Gupta, 2005. "Comparative evaluation of MILP flowshop models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(1), pages 88-101, January.

    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:pal:jorsoc:v:54:y:2003:i:10:d:10.1057_palgrave.jors.2601615. 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.palgrave-journals.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.