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A probabilistic greedy search algorithm for combinatorial optimisation with application to the set covering problem

Author

Listed:
  • M Haouari

    (Ecole Polytechnique de Tunisie)

  • J S Chaouachi

    (Ecole Polytechnique de Tunisie)

Abstract

We present a probabilistic greedy search method for combinatorial optimisation problems. This approach is implemented and evaluated for the Set Covering Problem (SCP) and shown to yield a simple, robust, and quite fast heuristic. Tests performed on a large set of benchmark instances with up to 1000 rows and 10 000 columns show that the algorithm consistently yields near-optimal solutions.

Suggested Citation

  • M Haouari & J S Chaouachi, 2002. "A probabilistic greedy search algorithm for combinatorial optimisation with application to the set covering problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(7), pages 792-799, July.
    • Handle: RePEc:pal:jorsoc:v:53:y:2002:i:7:d:10.1057_palgrave.jors.2601366
    DOI: 10.1057/palgrave.jors.2601366
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    Citations

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    Cited by:

    1. Naji-Azimi, Zahra & Toth, Paolo & Galli, Laura, 2010. "An electromagnetism metaheuristic for the unicost set covering problem," European Journal of Operational Research, Elsevier, vol. 205(2), pages 290-300, September.
    2. Haouari, Mohamed & Chaouachi, Jouhaina Siala, 2006. "Upper and lower bounding strategies for the generalized minimum spanning tree problem," European Journal of Operational Research, Elsevier, vol. 171(2), pages 632-647, June.
    3. Lan, Guanghui & DePuy, Gail W. & Whitehouse, Gary E., 2007. "An effective and simple heuristic for the set covering problem," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1387-1403, February.
    4. Ali Amiri, 2017. "Application placement in computer clustering in software as a service (SaaS) networks," Information Technology and Management, Springer, vol. 18(2), pages 161-173, June.
    5. Öncan, Temel & Cordeau, Jean-François & Laporte, Gilbert, 2008. "A tabu search heuristic for the generalized minimum spanning tree problem," European Journal of Operational Research, Elsevier, vol. 191(2), pages 306-319, December.
    6. Li, Shengyin & Huang, Yongxi, 2014. "Heuristic approaches for the flow-based set covering problem with deviation paths," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 72(C), pages 144-158.
    7. Ali Amiri, 0. "Application placement in computer clustering in software as a service (SaaS) networks," Information Technology and Management, Springer, vol. 0, pages 1-13.

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