IDEAS home Printed from https://ideas.repec.org/a/spr/jcomop/v22y2011i1d10.1007_s10878-009-9273-2.html
   My bibliography  Save this article

On the Bandpass problem

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10878-009-9273-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10878-009-9273-2?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. Boštjan Gabrovšek & Tina Novak & Janez Povh & Darja Rupnik Poklukar & Janez Žerovnik, 2020. "Multiple Hungarian Method for k -Assignment Problem," Mathematics, MDPI, vol. 8(11), pages 1-18, November.
    3. Dimitris Bertsimas & Dan A. Iancu & Dmitriy Katz, 2013. "A New Local Search Algorithm for Binary Optimization," INFORMS Journal on Computing, INFORMS, vol. 25(2), pages 208-221, May.
    4. Jon Lee & Maxim Sviridenko & Jan Vondrák, 2010. "Submodular Maximization over Multiple Matroids via Generalized Exchange Properties," Mathematics of Operations Research, INFORMS, vol. 35(4), pages 795-806, November.
    5. Petra Schuurman & Tjark Vredeveld, 2007. "Performance Guarantees of Local Search for Multiprocessor Scheduling," INFORMS Journal on Computing, INFORMS, vol. 19(1), pages 52-63, February.
    6. Lennart Baardman & Maxime C. Cohen & Kiran Panchamgam & Georgia Perakis & Danny Segev, 2019. "Scheduling Promotion Vehicles to Boost Profits," Management Science, INFORMS, vol. 65(1), pages 50-70, January.
    7. 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.
    8. Hakan Kutucu & Arif Gursoy & Mehmet Kurt & Urfat Nuriyev, 0. "The band collocation problem," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-28.
    9. 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.
    10. Yong Chen & Zhi-Zhong Chen & Guohui Lin & Lusheng Wang & An Zhang, 2021. "A randomized approximation algorithm for metric triangle packing," Journal of Combinatorial Optimization, Springer, vol. 41(1), pages 12-27, January.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:jcomop:v:22:y:2011:i:1:d:10.1007_s10878-009-9273-2. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.