IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v3y1955i4p429-442.html
   My bibliography  Save this article

A Non-Numerical Approach to Production Scheduling Problems

Author

Listed:
  • Sheldon B. Akers

    (ACF Electronics, Alexandria, Virginia)

  • Joyce Friedman

    (ACF Electronics, Alexandria, Virginia)

Abstract

In a typical production scheduling problem, n parts must be fabricated using m machines, and each part must be fabricated in a given order on the machines. It is desired to schedule the parts so that the program is optimal with respect to some given criteria. In general, ( n !) m programs must be examined. To obtain the ultimate solution, it is necessary to know for each part its actual time of fabrication on each machine. However, it is shown that without consideration of numerical values, it is possible to eliminate initially a great number of the possible programs by purely non-numerical methods. Operations Research , ISSN 0030-364X, was published as Journal of the Operations Research Society of America from 1952 to 1955 under ISSN 0096-3984.

Suggested Citation

  • Sheldon B. Akers & Joyce Friedman, 1955. "A Non-Numerical Approach to Production Scheduling Problems," Operations Research, INFORMS, vol. 3(4), pages 429-442, November.
    • Handle: RePEc:inm:oropre:v:3:y:1955:i:4:p:429-442
    DOI: 10.1287/opre.3.4.429
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.3.4.429
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.3.4.429?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
    ---><---

    Citations

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


    Cited by:

    1. Aggoune, Riad & Portmann, Marie-Claude, 2006. "Flow shop scheduling problem with limited machine availability: A heuristic approach," International Journal of Production Economics, Elsevier, vol. 99(1-2), pages 4-15, February.
    2. Tao Ren & Yan Zhang & Shuenn-Ren Cheng & Chin-Chia Wu & Meng Zhang & Bo-yu Chang & Xin-yue Wang & Peng Zhao, 2020. "Effective Heuristic Algorithms Solving the Jobshop Scheduling Problem with Release Dates," Mathematics, MDPI, vol. 8(8), pages 1-25, July.
    3. A. Agnetis & P.B. Mirchandani & D. Pacciarelli & A. Pacifici, 2000. "Nondominated Schedules for a Job-Shop with Two Competing Users," Computational and Mathematical Organization Theory, Springer, vol. 6(2), pages 191-217, July.
    4. Shakhlevich, Natalia V. & Sotskov, Yuri N. & Werner, Frank, 2000. "Complexity of mixed shop scheduling problems: A survey," European Journal of Operational Research, Elsevier, vol. 120(2), pages 343-351, January.
    5. Zribi, N. & El Kamel, A. & Borne, P., 2008. "Minimizing the makespan for the MPM job-shop with availability constraints," International Journal of Production Economics, Elsevier, vol. 112(1), pages 151-160, March.
    6. Ohashi, Kazumasa, 1999. "Dynamic process planning system for a machining center in an FMS environment," International Journal of Production Economics, Elsevier, vol. 60(1), pages 457-464, April.
    7. Agnetis, Alessandro & Kellerer, Hans & Nicosia, Gaia & Pacifici, Andrea, 2012. "Parallel dedicated machines scheduling with chain precedence constraints," European Journal of Operational Research, Elsevier, vol. 221(2), pages 296-305.
    8. 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.
    9. Rossit, Daniel A. & Vásquez, Óscar C. & Tohmé, Fernando & Frutos, Mariano & Safe, Martín D., 2021. "A combinatorial analysis of the permutation and non-permutation flow shop scheduling problems," European Journal of Operational Research, Elsevier, vol. 289(3), pages 841-854.
    10. S. Sevastyanov & D. Chemisova & I. Chernykh, 2014. "On some properties of optimal schedules in the job shop problem with preemption and an arbitrary regular criterion," Annals of Operations Research, Springer, vol. 213(1), pages 253-270, February.
    11. Y N Sotskov & A Allahverdi & T-C Lai, 2004. "Flowshop scheduling problem to minimize total completion time with random and bounded processing times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(3), pages 277-286, March.

    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:inm:oropre:v:3:y:1955:i:4:p:429-442. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.