IDEAS home Printed from https://ideas.repec.org/a/sae/envira/v17y1985i10p1303-1314.html
   My bibliography  Save this article

Asymptotic Approximations of the Assignment Model with Stochastic Heterogeneity in the Matching Utilities

Author

Listed:
  • G Leonardi

    (International Institute for Applied Systems Analysis, Schloss Laxenburg, 2361 Laxenburg, Austria)

Abstract

A large-scale linear assignment problem is considered under the assumption that the coefficients of the objective function are imperfectly known but have a probability distribution. Asymptotic approximations are derived by using the statistical theory of extremes. It is shown how the resulting approximate problem has an easily computable form, provides a closed-form solution which has the structure of a logit model, and is embedded by a mathematical program whose objective function is related to entropy.

Suggested Citation

  • G Leonardi, 1985. "Asymptotic Approximations of the Assignment Model with Stochastic Heterogeneity in the Matching Utilities," Environment and Planning A, , vol. 17(10), pages 1303-1314, October.
    • Handle: RePEc:sae:envira:v:17:y:1985:i:10:p:1303-1314
    DOI: 10.1068/a171303
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1068/a171303
    Download Restriction: no
    File URL: https://libkey.io/10.1068/a171303?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
    ---><---

    References listed on IDEAS

    as
    1. L. R. Ford, Jr. & D. R. Fulkerson, 1956. "Solving the Transportation Problem," Management Science, INFORMS, vol. 3(1), pages 24-32, 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. Tadei, Roberto & Ricciardi, Nicoletta, 1999. "The dynamic multilevel assignment problem as a stochastic extremal process," European Journal of Operational Research, Elsevier, vol. 117(2), pages 264-274, September.

    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. Tamás Rapcsák, 2010. "The life and works of Jenő Egerváry (1891–1958)," 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. 18(1), pages 59-71, March.
    2. Hartmann, A.K. & Usadel, K.D., 1995. "Exact determination of all ground states of random field systems in polynomial time," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(2), pages 141-152.
    3. William Lee Croft & Wei Shi & Jörg-Rüdiger Sack & Jean-Pierre Corriveau, 2017. "Comparison of approaches of geographic partitioning for data anonymization," Journal of Geographical Systems, Springer, vol. 19(3), pages 221-248, July.
    4. Lersteau, Charly & Rossi, André & Sevaux, Marc, 2016. "Robust scheduling of wireless sensor networks for target tracking under uncertainty," European Journal of Operational Research, Elsevier, vol. 252(2), pages 407-417.
    5. Susan Cholette, 2007. "A Novel Problem for a Vintage Technique: Using Mixed-Integer Programming to Match Wineries and Distributors," Interfaces, INFORMS, vol. 37(3), pages 231-239, June.
    6. Sinuany-Stern, Zilla, 2023. "Foundations of operations research: From linear programming to data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1069-1080.
    7. Hartmann, Alexander K., 1996. "Cluster-exact approximation of spin glass groundstates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(3), pages 480-488.

    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:sae:envira:v:17:y:1985:i:10:p:1303-1314. 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: SAGE Publications (email available below). General contact details of provider: .

    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.