IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v38y1992i3p325-344.html
   My bibliography  Save this article

Indexing in Modeling Languages for Mathematical Programming

Author

Listed:
  • Arthur M. Geoffrion

    (Anderson Graduate School of Management, University of California, Los Angeles, California 90024)

Abstract

Indexing structures are of fundamental importance to modeling languages for mathematical programming as a device for mathematical abstraction, and because they facilitate achieving conciseness, stability, and error-resistance. The aim of this article is to stimulate discussion of such structures, especially the two most common kinds found in algebraic style languages: sets and relations. We offer a taxonomy of set-based and relation-based indexing structures, a suite of detailed examples illustrating this taxonomy, and a number of specific principles (some arguable and some not) for incorporating indexing structures into modeling languages. We also examine four modeling languages in detail with respect to their indexing capabilities: AMPL, GAMS, LINGO, and SML. By attempting to work all of the illustrative examples in each language, we are able to reach some conclusions concerning relative expressive power, economy of notation, obedience to our principles of "good" language design, ease of data handling, and other criteria.

Suggested Citation

  • Arthur M. Geoffrion, 1992. "Indexing in Modeling Languages for Mathematical Programming," Management Science, INFORMS, vol. 38(3), pages 325-344, March.
    • Handle: RePEc:inm:ormnsc:v:38:y:1992:i:3:p:325-344
    DOI: 10.1287/mnsc.38.3.325
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.38.3.325
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.38.3.325?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. Tsai, Yao-Chuan, 2001. "Comparative analysis of model management and relational database management," Omega, Elsevier, vol. 29(2), pages 157-170, April.
    2. Huh, S. Y. & Chung, Q. B., 1995. "A model management framework for heterogeneous algebraic models: Object-oriented database management systems approach," Omega, Elsevier, vol. 23(3), pages 235-256, June.
    3. Lin, Suh-Yun Elva & Schuff, David & St. Louis, Robert D., 2000. "Subscript-free modeling languages: A tool for facilitating the formulation and use of models," European Journal of Operational Research, Elsevier, vol. 123(3), pages 614-627, June.
    4. Makowski, Marek, 2005. "A structured modeling technology," European Journal of Operational Research, Elsevier, vol. 166(3), pages 615-648, November.

    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:ormnsc:v:38:y:1992:i:3:p:325-344. 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.