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

Author

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  • 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
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    References listed on IDEAS

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    1. L. R. Ford, Jr. & D. R. Fulkerson, 1956. "Solving the Transportation Problem," Management Science, INFORMS, vol. 3(1), pages 24-32, October.
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    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.

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