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An efficient heuristic for large set covering problems

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  • Francis J. Vasko

Abstract

A heuristic solution procedure for set covering is presented that works well for large, relatively dense problems. In addition, a confidence interval is established about the unknown global optimum. Results are presented for 30 large randomly generated problems.

Suggested Citation

  • Francis J. Vasko, 1984. "An efficient heuristic for large set covering problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(1), pages 163-171, March.
    • Handle: RePEc:wly:navlog:v:31:y:1984:i:1:p:163-171
    DOI: 10.1002/nav.3800310118
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    Cited by:

    1. Lakmali Weerasena & Aniekan Ebiefung & Anthony Skjellum, 2022. "Design of a heuristic algorithm for the generalized multi-objective set covering problem," Computational Optimization and Applications, Springer, vol. 82(3), pages 717-751, July.
    2. Larry W. Jacobs & Michael J. Brusco, 1995. "Note: A local‐search heuristic for large set‐covering problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(7), pages 1129-1140, October.
    3. Ye, Lin & Ye, Chunming & Chuang, Yi-Fei, 2011. "Location set covering for waste resource recycling centers in Taiwan," Resources, Conservation & Recycling, Elsevier, vol. 55(11), pages 979-985.
    4. Robert L. Nydick & Howard J. Weiss, 1994. "An analytical evaluation of optimal solution value estimation procedures," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(2), pages 189-202, March.
    5. J. E. Beasley, 1990. "A lagrangian heuristic for set‐covering problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(1), pages 151-164, February.
    6. Vié, Marie-Sklaerder & Zufferey, Nicolas & Cordeau, Jean-François, 2019. "Solving the Wire-Harness Design Problem at a European car manufacturer," European Journal of Operational Research, Elsevier, vol. 272(2), pages 712-724.
    7. Wang, Yiyuan & Pan, Shiwei & Al-Shihabi, Sameh & Zhou, Junping & Yang, Nan & Yin, Minghao, 2021. "An improved configuration checking-based algorithm for the unicost set covering problem," European Journal of Operational Research, Elsevier, vol. 294(2), pages 476-491.
    8. Masoud Yaghini & Mohammad Karimi & Mohadeseh Rahbar, 2015. "A set covering approach for multi-depot train driver scheduling," Journal of Combinatorial Optimization, Springer, vol. 29(3), pages 636-654, April.

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