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Scatter search for the bandpass problem

Author

Listed:
  • Jesús Sánchez-Oro

    (Universidad Rey Juan Carlos)

  • Manuel Laguna

    (University of Colorado at Boulder)

  • Rafael Martí

    (Universidad de Valencia)

  • Abraham Duarte

    (Universidad Rey Juan Carlos)

Abstract

We tackle a combinatorial problem that consists of finding the optimal configuration of a binary matrix. The configuration is determined by the ordering of the rows in the matrix and the objective function value is associated with a value B, the so-called bandpass number. In the basic version of the problem, the objective is to maximize the number of non-overlapping blocks containing B consecutive cells with a value of one in each column of the matrix. We explore variants of this basic problem and use them to test heuristic strategies within the scatter search framework. An existing library of problem instances is used to perform scientific testing of the proposed search procedures to gain insights that may be valuable in other combinational optimization settings. We also conduct competitive testing to compare outcomes with methods published in the literature and to improve upon previous results.

Suggested Citation

  • Jesús Sánchez-Oro & Manuel Laguna & Rafael Martí & Abraham Duarte, 2016. "Scatter search for the bandpass problem," Journal of Global Optimization, Springer, vol. 66(4), pages 769-790, December.
    • Handle: RePEc:spr:jglopt:v:66:y:2016:i:4:d:10.1007_s10898-016-0446-0
    DOI: 10.1007/s10898-016-0446-0
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    References listed on IDEAS

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    1. Guohui Lin, 2011. "On the Bandpass problem," Journal of Combinatorial Optimization, Springer, vol. 22(1), pages 71-77, July.
    2. Duarte, Abraham & Marti, Rafael, 2007. "Tabu search and GRASP for the maximum diversity problem," European Journal of Operational Research, Elsevier, vol. 178(1), pages 71-84, April.
    3. Micael Gallego & Abraham Duarte & Manuel Laguna & Rafael Martí, 2009. "Hybrid heuristics for the maximum diversity problem," Computational Optimization and Applications, Springer, vol. 44(3), pages 411-426, December.
    4. Rafael Martí & Abraham Duarte & Manuel Laguna, 2009. "Advanced Scatter Search for the Max-Cut Problem," INFORMS Journal on Computing, INFORMS, vol. 21(1), pages 26-38, February.
    5. Vicente Campos & Rafael Martí & Jesús Sánchez-Oro & Abraham Duarte, 2014. "GRASP with path relinking for the orienteering problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(12), pages 1800-1813, December.
    6. M Gallego & M Laguna & R Martí & A Duarte, 2013. "Tabu search with strategic oscillation for the maximally diverse grouping problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(5), pages 724-734, May.
    7. Djangir A. Babayev & George I. Bell & Urfat G. Nuriyev, 2009. "The bandpass problem: combinatorial optimization and library of problems," Journal of Combinatorial Optimization, Springer, vol. 18(2), pages 151-172, August.
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    Cited by:

    1. Casado, A. & Bermudo, S. & López-Sánchez, A.D. & Sánchez-Oro, J., 2023. "An iterated greedy algorithm for finding the minimum dominating set in graphs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 41-58.

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