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An effective and simple heuristic for the set covering problem

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  • Lan, Guanghui
  • DePuy, Gail W.
  • Whitehouse, Gary E.

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  • 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.
    • Handle: RePEc:eee:ejores:v:176:y:2007:i:3:p:1387-1403
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    1. Grossman, Tal & Wool, Avishai, 1997. "Computational experience with approximation algorithms for the set covering problem," European Journal of Operational Research, Elsevier, vol. 101(1), pages 81-92, August.
    2. DePuy, Gail W. & Moraga, Reinaldo J. & Whitehouse, Gary E., 2005. "Meta-RaPS: a simple and effective approach for solving the traveling salesman problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 41(2), pages 115-130, March.
    3. Egon Balas & Maria C. Carrera, 1996. "A Dynamic Subgradient-Based Branch-and-Bound Procedure for Set Covering," Operations Research, INFORMS, vol. 44(6), pages 875-890, December.
    4. Beasley, J. E., 1987. "An algorithm for set covering problem," European Journal of Operational Research, Elsevier, vol. 31(1), pages 85-93, July.
    5. V. Chvatal, 1979. "A Greedy Heuristic for the Set-Covering Problem," Mathematics of Operations Research, INFORMS, vol. 4(3), pages 233-235, August.
    6. Ohlsson, Mattias & Peterson, Carsten & Soderberg, Bo, 2001. "An efficient mean field approach to the set covering problem," European Journal of Operational Research, Elsevier, vol. 133(3), pages 583-595, September.
    7. U Aickelin, 2002. "An indirect genetic algorithm for set covering problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(10), pages 1118-1126, October.
    8. 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.
    9. Alberto Caprara & Matteo Fischetti & Paolo Toth, 1999. "A Heuristic Method for the Set Covering Problem," Operations Research, INFORMS, vol. 47(5), pages 730-743, October.
    10. Beasley, J. E. & Chu, P. C., 1996. "A genetic algorithm for the set covering problem," European Journal of Operational Research, Elsevier, vol. 94(2), pages 392-404, October.
    11. Alberto Caprara & Paolo Toth & Matteo Fischetti, 2000. "Algorithms for the Set Covering Problem," Annals of Operations Research, Springer, vol. 98(1), pages 353-371, December.
    12. Beasley, J. E. & Jornsten, K., 1992. "Enhancing an algorithm for set covering problems," European Journal of Operational Research, Elsevier, vol. 58(2), pages 293-300, April.
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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. Christopher Garcia, 2016. "Winner Determination Algorithms for Combinatorial Auctions with Sub-cardinality Constraints," Computational Economics, Springer;Society for Computational Economics, vol. 47(3), pages 401-421, March.
    3. Jans, Raf & Degraeve, Zeger, 2008. "A note on a symmetrical set covering problem: The lottery problem," European Journal of Operational Research, Elsevier, vol. 186(1), pages 104-110, April.
    4. Victor Reyes & Ignacio Araya, 2021. "A GRASP-based scheme for the set covering problem," Operational Research, Springer, vol. 21(4), pages 2391-2408, December.
    5. 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.
    6. Giovanni Felici & Sokol Ndreca & Aldo Procacci & Benedetto Scoppola, 2016. "A-priori upper bounds for the set covering problem," Annals of Operations Research, Springer, vol. 238(1), pages 229-241, March.
    7. 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.
    8. Owais, Mahmoud & Moussa, Ghada S. & Hussain, Khaled F., 2019. "Sensor location model for O/D estimation: Multi-criteria meta-heuristics approach," Operations Research Perspectives, Elsevier, vol. 6(C).
    9. 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.
    10. 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.
    11. Fabio Colombo & Roberto Cordone & Guglielmo Lulli, 2015. "A variable neighborhood search algorithm for the multimode set covering problem," Journal of Global Optimization, Springer, vol. 63(3), pages 461-480, November.
    12. Gao, Chao & Yao, Xin & Weise, Thomas & Li, Jinlong, 2015. "An efficient local search heuristic with row weighting for the unicost set covering problem," European Journal of Operational Research, Elsevier, vol. 246(3), pages 750-761.
    13. Jütte, Silke & Thonemann, Ulrich W., 2012. "Divide-and-price: A decomposition algorithm for solving large railway crew scheduling problems," European Journal of Operational Research, Elsevier, vol. 219(2), pages 214-223.
    14. Jordi Pereira & Igor Averbakh, 2013. "The Robust Set Covering Problem with interval data," Annals of Operations Research, Springer, vol. 207(1), pages 217-235, August.
    15. Giovanni Felici & Sokol Ndreca & Aldo Procacci & Benedetto Scoppola, 2016. "A-priori upper bounds for the set covering problem," Annals of Operations Research, Springer, vol. 238(1), pages 229-241, March.
    16. Abdullah Alshehri & Mahmoud Owais & Jayadev Gyani & Mishal H. Aljarbou & Saleh Alsulamy, 2023. "Residual Neural Networks for Origin–Destination Trip Matrix Estimation from Traffic Sensor Information," Sustainability, MDPI, vol. 15(13), pages 1-21, June.
    17. 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.
    18. Ahmed Redha Mahlous, 2017. "SCMC: An Efficient Scheme for Minimizing Energy in WSNs Using a Set Cover Approach," Future Internet, MDPI, vol. 9(4), pages 1-18, December.

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