IDEAS home Printed from https://ideas.repec.org/a/inm/orinte/v20y1990i5p61-66.html
   My bibliography  Save this article

Cutting Big M Down to Size

Author

Listed:
  • Jeffrey D. Camm

    (Department of Quantitative Analysis and Information Systems, University of Cincinnati, Cincinnati, Ohio 45221-0130)

  • Amitabh S. Raturi

    (Department of Quantitative Analysis and Information Systems, University of Cincinnati, Cincinnati, Ohio 45221-0130)

  • Shigeru Tsubakitani

    (Department of Quantitative Analysis and Information Systems, University of Cincinnati, Cincinnati, Ohio 45221-0130)

Abstract

Some texts and applied research papers continue to advocate the use of “M,” an “extremely large number,” in modeling a fixed charge in binary integer programs. This choice of M can be very detrimental to solving even reasonably sized problems. Previous research provides straightforward techniques which should be implemented by any person intelligent enough to develop an MIP model.

Suggested Citation

  • Jeffrey D. Camm & Amitabh S. Raturi & Shigeru Tsubakitani, 1990. "Cutting Big M Down to Size," Interfaces, INFORMS, vol. 20(5), pages 61-66, October.
    • Handle: RePEc:inm:orinte:v:20:y:1990:i:5:p:61-66
    DOI: 10.1287/inte.20.5.61
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/inte.20.5.61
    Download Restriction: no
    File URL: https://libkey.io/10.1287/inte.20.5.61?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. Meissner, Joern & Strauss, Arne, 2012. "Network revenue management with inventory-sensitive bid prices and customer choice," European Journal of Operational Research, Elsevier, vol. 216(2), pages 459-468.
    2. Alexandra M. Newman & Martin Weiss, 2013. "A Survey of Linear and Mixed-Integer Optimization Tutorials," INFORMS Transactions on Education, INFORMS, vol. 14(1), pages 26-38, September.
    3. Schulz, Arne & Pfeiffer, Christian, 2024. "Using fixed paths to improve branch-and-cut algorithms for precedence-constrained routing problems," European Journal of Operational Research, Elsevier, vol. 312(2), pages 456-472.
    4. Coelho, Vitor N. & Coelho, Igor M. & Coelho, Bruno N. & de Oliveira, Glauber C. & Barbosa, Alexandre C. & Pereira, Leo & de Freitas, Alan & Santos, Haroldo G. & Ochi, Luis S. & Guimarães, Frederico G., 2017. "A communitarian microgrid storage planning system inside the scope of a smart city," Applied Energy, Elsevier, vol. 201(C), pages 371-381.
    5. Mehdi Zeynivand & Mehdi Najafi & Mohammad Modarres Yazdi, 2023. "A Recourse Policy to Improve Number of Successful Transplants in Uncertain Kidney Exchange Programs," Journal of Optimization Theory and Applications, Springer, vol. 197(2), pages 476-507, May.
    6. Jesse Pietz & Johannes O. Royset, 2013. "Generalized orienteering problem with resource dependent rewards," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(4), pages 294-312, June.
    7. David Huber & Felix Birkelbach & René Hofmann, 2023. "HENS Unchained: MILP Implementation of Multi-Stage Utilities with Stream Splits, Variable Temperatures and Flow Capacities," Energies, MDPI, vol. 16(12), pages 1-22, June.
    8. Kuthambalayan, Thyagaraj S. & Mehta, Peeyush & Shanker, Kripa, 2014. "Integrating operations and marketing decisions using delayed differentiation of products and guaranteed delivery time under stochastic demand," European Journal of Operational Research, Elsevier, vol. 237(2), pages 617-627.
    9. Qi, Yingxiu & Harrod, Steven & Psaraftis, Harilaos N. & Lang, Maoxiang, 2022. "Transport service selection and routing with carbon emissions and inventory costs consideration in the context of the Belt and Road Initiative," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).
    10. Emily M. Craparo & Mumtaz Karatas & Tobias U. Kuhn, 2017. "Sensor placement in active multistatic sonar networks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(4), pages 287-304, June.
    11. Sandra Benítez-Peña & Rafael Blanquero & Emilio Carrizosa & Pepa Ramírez-Cobo, 2019. "On support vector machines under a multiple-cost scenario," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 13(3), pages 663-682, September.
    12. Daeho Kim & Hyungkyu Cheon & Dong Gu Choi & Seongbin Im, 2022. "Operations Research Helps the Optimal Bidding of Virtual Power Plants," Interfaces, INFORMS, vol. 52(4), pages 344-362, July.
    13. Scott P. Stevens & Susan W. Palocsay, 2017. "Teaching Use of Binary Variables in Integer Linear Programs: Formulating Logical Conditions," INFORMS Transactions on Education, INFORMS, vol. 18(1), pages 28-36, September.

    More about this item

    Keywords

    programming: integer applications;

    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:orinte:v:20:y:1990:i:5:p:61-66. 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.