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Constraint Programming-based Column Generation

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  • Stefano Gualandi
  • Federico Malucelli

Abstract

This paper surveys recent applications and advances of the Constraint Programming-based Column Generation framework, where the master subproblem is solved by traditional OR techniques, while the pricing subproblem is solved by Constraint Programming. This framework has been introduced to solve crew assignment problems, where complex regulations make the pricing subproblem demanding for traditional techniques, and then it has been applied to other contexts. The main benefits of using Constraint Programming are the expressiveness of its modeling language and the flexibility of its solvers. Recently, the Constraint Programming-based Column Generation framework has been applied to many other problems, ranging from classical combinatorial problems such as graph coloring and two dimensional bin packing, to application oriented problems, such as airline planning and resource allocation in wireless ad-hoc networks. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Stefano Gualandi & Federico Malucelli, 2013. "Constraint Programming-based Column Generation," Annals of Operations Research, Springer, vol. 204(1), pages 11-32, April.
    • Handle: RePEc:spr:annopr:v:204:y:2013:i:1:p:11-32:10.1007/s10479-012-1299-7
    DOI: 10.1007/s10479-012-1299-7
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    References listed on IDEAS

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    Cited by:

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    2. Benati, Stefano & Ponce, Diego & Puerto, Justo & Rodríguez-Chía, Antonio M., 2022. "A branch-and-price procedure for clustering data that are graph connected," European Journal of Operational Research, Elsevier, vol. 297(3), pages 817-830.
    3. Federico Malucelli & Emanuele Tresoldi, 2019. "Delay and disruption management in local public transportation via real-time vehicle and crew re-scheduling: a case study," Public Transport, Springer, vol. 11(1), pages 1-25, June.
    4. Ferrarini, Luca & Gualandi, Stefano, 2022. "Total Coloring and Total Matching: Polyhedra and Facets," European Journal of Operational Research, Elsevier, vol. 303(1), pages 129-142.
    5. Vitale, Ignacio & Broz, Diego & Dondo, Rodolfo, 2021. "Optimizing log transportation in the Argentinean forest industry by column generation," Forest Policy and Economics, Elsevier, vol. 128(C).

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