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A computational study of exact knapsack separation for the generalized assignment problem

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  • Pasquale Avella
  • Maurizio Boccia
  • Igor Vasilyev

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  • Pasquale Avella & Maurizio Boccia & Igor Vasilyev, 2010. "A computational study of exact knapsack separation for the generalized assignment problem," Computational Optimization and Applications, Springer, vol. 45(3), pages 543-555, April.
    • Handle: RePEc:spr:coopap:v:45:y:2010:i:3:p:543-555
    DOI: 10.1007/s10589-008-9183-8
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    References listed on IDEAS

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    1. Robert M. Nauss, 2003. "Solving the Generalized Assignment Problem: An Optimizing and Heuristic Approach," INFORMS Journal on Computing, INFORMS, vol. 15(3), pages 249-266, August.
    2. Yagiura, Mutsunori & Ibaraki, Toshihide & Glover, Fred, 2006. "A path relinking approach with ejection chains for the generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 169(2), pages 548-569, March.
    3. WOLSEY, Laurence A., 1976. "Facets and strong valid inequalities for integer programs," LIDAM Reprints CORE 246, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Citations

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    Cited by:

    1. Pasquale Avella & Maurizio Boccia & Igor Vasilyev, 2012. "Computational Testing of a Separation Procedure for the Knapsack Set with a Single Continuous Variable," INFORMS Journal on Computing, INFORMS, vol. 24(1), pages 165-171, February.
    2. Catanzaro, Daniele & Coniglio, Stefano & Furini, Fabio, 2021. "On the exact separation of cover inequalities of maximum-depth," LIDAM Discussion Papers CORE 2021018, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Francisco Castillo-Zunino & Pinar Keskinocak, 2021. "Bi-criteria multiple knapsack problem with grouped items," Journal of Heuristics, Springer, vol. 27(5), pages 747-789, October.
    4. Mikhail A. Bragin & Peter B. Luh & Joseph H. Yan & Nanpeng Yu & Gary A. Stern, 2015. "Convergence of the Surrogate Lagrangian Relaxation Method," Journal of Optimization Theory and Applications, Springer, vol. 164(1), pages 173-201, January.
    5. Marius Posta & Jacques Ferland & Philippe Michelon, 2012. "An exact method with variable fixing for solving the generalized assignment problem," Computational Optimization and Applications, Springer, vol. 52(3), pages 629-644, July.
    6. Christopher Hojny & Tristan Gally & Oliver Habeck & Hendrik Lüthen & Frederic Matter & Marc E. Pfetsch & Andreas Schmitt, 2020. "Knapsack polytopes: a survey," Annals of Operations Research, Springer, vol. 292(1), pages 469-517, September.
    7. Fritz Bökler & Sophie N. Parragh & Markus Sinnl & Fabien Tricoire, 2024. "An outer approximation algorithm for generating the Edgeworth–Pareto hull of multi-objective mixed-integer linear programming problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 100(1), pages 263-290, August.
    8. Liang Chen & Wei-Kun Chen & Mu-Ming Yang & Yu-Hong Dai, 2021. "An exact separation algorithm for unsplittable flow capacitated network design arc-set polyhedron," Journal of Global Optimization, Springer, vol. 81(3), pages 659-689, November.

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