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On the Bandpass problem

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  • Guohui Lin

    (University of Alberta)

Abstract

The complexity of the Bandpass problem is re-investigated. Specifically, we show that the problem with any fixed bandpass number B≥2 is NP-hard. Next, a row stacking algorithm is proposed for the problem with three columns, which produces a solution that is at most 1 less than the optimum. For the special case B=2, the row stacking algorithm guarantees an optimal solution. On approximation, for the general problem, we present an O(B 2)-algorithm, which reduces to a 2-approximation algorithm for the special case B=2.

Suggested Citation

  • Guohui Lin, 2011. "On the Bandpass problem," Journal of Combinatorial Optimization, Springer, vol. 22(1), pages 71-77, July.
    • Handle: RePEc:spr:jcomop:v:22:y:2011:i:1:d:10.1007_s10878-009-9273-2
    DOI: 10.1007/s10878-009-9273-2
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    References listed on IDEAS

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    1. Esther M. Arkin & Refael Hassin, 1998. "On Local Search for Weighted k -Set Packing," Mathematics of Operations Research, INFORMS, vol. 23(3), pages 640-648, August.
    2. 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. Liqin Huang & Weitian Tong & Randy Goebel & Tian Liu & Guohui Lin, 2015. "A 0.5358-approximation for Bandpass-2," Journal of Combinatorial Optimization, Springer, vol. 30(3), pages 612-626, October.
    2. 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.
    3. Hakan Kutucu & Arif Gursoy & Mehmet Kurt & Urfat Nuriyev, 0. "The band collocation problem," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-28.
    4. Hakan Kutucu & Arif Gursoy & Mehmet Kurt & Urfat Nuriyev, 2020. "The band collocation problem," Journal of Combinatorial Optimization, Springer, vol. 40(2), pages 454-481, August.

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