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Random assignment problems

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  • Krokhmal, Pavlo A.
  • Pardalos, Panos M.

Abstract

Analysis of random instances of optimization problems provides valuable insights into the behavior and properties of problem's solutions, feasible region, and optimal values, especially in large-scale cases. A class of problems that have been studied extensively in the literature using the methods of probabilistic analysis is represented by the assignment problems, and many important problems in operations research and computer science can be formulated as assignment problems. This paper presents an overview of the recent results and developments in the area of probabilistic assignment problems, including the linear and multidimensional assignment problems, quadratic assignment problem, etc.

Suggested Citation

  • Krokhmal, Pavlo A. & Pardalos, Panos M., 2009. "Random assignment problems," European Journal of Operational Research, Elsevier, vol. 194(1), pages 1-17, April.
    • Handle: RePEc:eee:ejores:v:194:y:2009:i:1:p:1-17
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    References listed on IDEAS

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    2. Loiola, Eliane Maria & de Abreu, Nair Maria Maia & Boaventura-Netto, Paulo Oswaldo & Hahn, Peter & Querido, Tania, 2007. "A survey for the quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 176(2), pages 657-690, January.
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    6. Mordant, Gilles & Segers, Johan, 2021. "Maxima and near-maxima of a Gaussian random assignment field," Statistics & Probability Letters, Elsevier, vol. 173(C).
    7. Mordant, Gilles & Segers, Johan, 2021. "Maxima and near-maxima of a Gaussian random assignment field," LIDAM Discussion Papers ISBA 2021008, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    8. Michael Z. Spivey, 2011. "Asymptotic Moments of the Bottleneck Assignment Problem," Mathematics of Operations Research, INFORMS, vol. 36(2), pages 205-226, May.
    9. Panayotis Mertikopoulos & Heinrich H. Nax & Bary S. R. Pradelski, 2019. "Quick or Cheap? Breaking Points in Dynamic Markets," Cowles Foundation Discussion Papers 2217, Cowles Foundation for Research in Economics, Yale University.
    10. Helena Gaspars-Wieloch, 2021. "The Assignment Problem in Human Resource Project Management under Uncertainty," Risks, MDPI, vol. 9(1), pages 1-17, January.
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