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An Empirical Design of a Column Generation Algorithm Applied to a Management Zone Delineation Problem

In: Computational Management Science

Author

Listed:
  • Víctor M. Albornoz

    (Universidad Técnica Federico Santa María)

  • Linco J. Ñanco

    (Universidad Técnica Federico Santa María)

Abstract

This paper develops and compares different strategies which involve algorithms for column generation for the problem solving of agricultural field partitioning into rectangular-shaped management zones, represented by an integer linear programming model. The main objective of this paper is to select an efficient alternative to solve the linear relaxation of the problem, which does not alter significantly the quality of the integer solution proposed. The paper also describes the model addressed, the solving method studied and computational results for a set of various problem sizes.

Suggested Citation

  • Víctor M. Albornoz & Linco J. Ñanco, 2016. "An Empirical Design of a Column Generation Algorithm Applied to a Management Zone Delineation Problem," Lecture Notes in Economics and Mathematical Systems, in: Raquel J. Fonseca & Gerhard-Wilhelm Weber & João Telhada (ed.), Computational Management Science, edition 1, pages 201-208, Springer.
    • Handle: RePEc:spr:lnechp:978-3-319-20430-7_26
    DOI: 10.1007/978-3-319-20430-7_26
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    Citations

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    Cited by:

    1. Víctor M. Albornoz & Marcelo I. Véliz & Rodrigo Ortega & Virna Ortíz-Araya, 2020. "Integrated versus hierarchical approach for zone delineation and crop planning under uncertainty," Annals of Operations Research, Springer, vol. 286(1), pages 617-634, March.
    2. Víctor M. Albornoz & Gabriel E. Zamora, 2021. "Decomposition-based heuristic for the zoning and crop planning problem with adjacency constraints," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 248-265, April.
    3. Víctor M. Albornoz & Lia C. Araneda & Rodrigo Ortega, 2022. "Planning and scheduling of selective harvest with management zones delineation," Annals of Operations Research, Springer, vol. 316(2), pages 873-890, September.
    4. Shen, Chan & Sun, Yao & Bai, Zijian & Cui, Hongjun, 2021. "Real-time customized bus routes design with optimal passenger and vehicle matching based on column generation algorithm," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).

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