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A new approach for modeling and solving set packing problems

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  • Alidaee, Bahram
  • Kochenberger, Gary
  • Lewis, Karen
  • Lewis, Mark
  • Wang, Haibo

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  • Alidaee, Bahram & Kochenberger, Gary & Lewis, Karen & Lewis, Mark & Wang, Haibo, 2008. "A new approach for modeling and solving set packing problems," European Journal of Operational Research, Elsevier, vol. 186(2), pages 504-512, April.
    • Handle: RePEc:eee:ejores:v:186:y:2008:i:2:p:504-512
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    References listed on IDEAS

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    1. Aleksandar Pekev{c} & Michael H. Rothkopf, 2003. "Combinatorial Auction Design," Management Science, INFORMS, vol. 49(11), pages 1485-1503, November.
    2. Fred Glover & Gary A. Kochenberger & Bahram Alidaee, 1998. "Adaptive Memory Tabu Search for Binary Quadratic Programs," Management Science, INFORMS, vol. 44(3), pages 336-345, March.
    3. Billionnet, A. & Sutter, A., 1994. "Minimization of a quadratic pseudo-Boolean function," European Journal of Operational Research, Elsevier, vol. 78(1), pages 106-115, October.
    4. Gary Kochenberger & Fred Glover & Bahram Alidaee & Cesar Rego, 2005. "An Unconstrained Quadratic Binary Programming Approach to the Vertex Coloring Problem," Annals of Operations Research, Springer, vol. 139(1), pages 229-241, October.
    5. Delorme, Xavier & Gandibleux, Xavier & Rodriguez, Joaquin, 2004. "GRASP for set packing problems," European Journal of Operational Research, Elsevier, vol. 153(3), pages 564-580, March.
    6. Gary Kochenberger & Fred Glover & Bahram Alidaee & Karen Lewis, 2005. "Using the unconstrained quadratic program to model and solve Max 2-SAT problems," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 1(1/2), pages 89-100.
    7. Glover, Fred & Alidaee, Bahram & Rego, Cesar & Kochenberger, Gary, 2002. "One-pass heuristics for large-scale unconstrained binary quadratic problems," European Journal of Operational Research, Elsevier, vol. 137(2), pages 272-287, March.
    8. Alkhamis, Talal M. & Hasan, Merza & Ahmed, Mohamed A., 1998. "Simulated annealing for the unconstrained quadratic pseudo-Boolean function," European Journal of Operational Research, Elsevier, vol. 108(3), pages 641-652, August.
    9. Lodi, Andrea & Allemand, Kim & Liebling, Thomas M., 1999. "An evolutionary heuristic for quadratic 0-1 programming," European Journal of Operational Research, Elsevier, vol. 119(3), pages 662-670, December.
    10. Tuomas Sandholm & Subhash Suri & Andrew Gilpin & David Levine, 2005. "CABOB: A Fast Optimal Algorithm for Winner Determination in Combinatorial Auctions," Management Science, INFORMS, vol. 51(3), pages 374-390, March.
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    Cited by:

    1. Fred Glover & Gary Kochenberger & Rick Hennig & Yu Du, 2022. "Quantum bridge analytics I: a tutorial on formulating and using QUBO models," Annals of Operations Research, Springer, vol. 314(1), pages 141-183, July.
    2. Qinghua Wu & Jin-Kao Hao & Fred Glover, 2012. "Multi-neighborhood tabu search for the maximum weight clique problem," Annals of Operations Research, Springer, vol. 196(1), pages 611-634, July.
    3. Yang Wang & Jin-Kao Hao & Fred Glover & Zhipeng Lü & Qinghua Wu, 2016. "Solving the maximum vertex weight clique problem via binary quadratic programming," Journal of Combinatorial Optimization, Springer, vol. 32(2), pages 531-549, August.
    4. Haochen Zhang & Shaowei Cai & Chuan Luo & Minghao Yin, 2017. "An efficient local search algorithm for the winner determination problem," Journal of Heuristics, Springer, vol. 23(5), pages 367-396, October.
    5. Gary Kochenberger & Jin-Kao Hao & Fred Glover & Mark Lewis & Zhipeng Lü & Haibo Wang & Yang Wang, 2014. "The unconstrained binary quadratic programming problem: a survey," Journal of Combinatorial Optimization, Springer, vol. 28(1), pages 58-81, July.
    6. Fred Glover & Gary Kochenberger & Yu Du, 2019. "Quantum Bridge Analytics I: a tutorial on formulating and using QUBO models," 4OR, Springer, vol. 17(4), pages 335-371, December.
    7. Delorme, Xavier & Gandibleux, Xavier & Rodriguez, Joaquín, 2009. "Stability evaluation of a railway timetable at station level," European Journal of Operational Research, Elsevier, vol. 195(3), pages 780-790, June.
    8. Mercedes Landete & Juan Monge & Antonio Rodríguez-Chía, 2013. "Alternative formulations for the Set Packing Problem and their application to the Winner Determination Problem," Annals of Operations Research, Springer, vol. 207(1), pages 137-160, August.
    9. Lü, Zhipeng & Glover, Fred & Hao, Jin-Kao, 2010. "A hybrid metaheuristic approach to solving the UBQP problem," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1254-1262, December.
    10. Nguyen, Tri-Dung, 2014. "A fast approximation algorithm for solving the complete set packing problem," European Journal of Operational Research, Elsevier, vol. 237(1), pages 62-70.
    11. Wang, Yang & Lü, Zhipeng & Glover, Fred & Hao, Jin-Kao, 2012. "Path relinking for unconstrained binary quadratic programming," European Journal of Operational Research, Elsevier, vol. 223(3), pages 595-604.
    12. Delorme, Xavier & Gandibleux, Xavier & Degoutin, Fabien, 2010. "Evolutionary, constructive and hybrid procedures for the bi-objective set packing problem," European Journal of Operational Research, Elsevier, vol. 204(2), pages 206-217, July.

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