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Mixed 0-1 Programming by Lift-and-Project in a Branch-and-Cut Framework

Citations

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Cited by:

  1. Egon Balas & Gérard Cornuéjols & Tamás Kis & Giacomo Nannicini, 2013. "Combining Lift-and-Project and Reduce-and-Split," INFORMS Journal on Computing, INFORMS, vol. 25(3), pages 475-487, August.
  2. Kent Andersen & Gérard Cornuéjols & Yanjun Li, 2005. "Reduce-and-Split Cuts: Improving the Performance of Mixed-Integer Gomory Cuts," Management Science, INFORMS, vol. 51(11), pages 1720-1732, November.
  3. G Appa & D Magos & I Mourtos, 2004. "A Branch & Cut algorithm for a four-index assignment problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(3), pages 298-307, March.
  4. Egon Balas & Sebastián Ceria & Milind Dawande & Francois Margot & Gábor Pataki, 2001. "Octane: A New Heuristic for Pure 0--1 Programs," Operations Research, INFORMS, vol. 49(2), pages 207-225, April.
  5. Gérard Cornuéjols & Milind Dawande, 1999. "A Class of Hard Small 0-1 Programs," INFORMS Journal on Computing, INFORMS, vol. 11(2), pages 205-210, May.
  6. Mustafa Kılınç & Jeff Linderoth & James Luedtke & Andrew Miller, 2014. "Strong-branching inequalities for convex mixed integer nonlinear programs," Computational Optimization and Applications, Springer, vol. 59(3), pages 639-665, December.
  7. Jonathan H. Owen & Sanjay Mehrotra, 2002. "On the Value of Binary Expansions for General Mixed-Integer Linear Programs," Operations Research, INFORMS, vol. 50(5), pages 810-819, October.
  8. John N. Hooker, 2002. "Logic, Optimization, and Constraint Programming," INFORMS Journal on Computing, INFORMS, vol. 14(4), pages 295-321, November.
  9. Amitabh Basu & Robert Hildebrand & Matthias Köppe, 2016. "Light on the infinite group relaxation II: sufficient conditions for extremality, sequences, and algorithms," 4OR, Springer, vol. 14(2), pages 107-131, June.
  10. R. Andrade & A. Lisser & N. Maculan & G. Plateau, 2005. "B&B Frameworks for the Capacity Expansion of High Speed Telecommunication Networks Under Uncertainty," Annals of Operations Research, Springer, vol. 140(1), pages 49-65, November.
  11. Eva K. Lee, 2004. "Generating Cutting Planes for Mixed Integer Programming Problems in a Parallel Computing Environment," INFORMS Journal on Computing, INFORMS, vol. 16(1), pages 3-26, February.
  12. Lewis Ntaimo, 2010. "Disjunctive Decomposition for Two-Stage Stochastic Mixed-Binary Programs with Random Recourse," Operations Research, INFORMS, vol. 58(1), pages 229-243, February.
  13. Adam N. Letchford, 2001. "On Disjunctive Cuts for Combinatorial Optimization," Journal of Combinatorial Optimization, Springer, vol. 5(3), pages 299-315, September.
  14. Wesselmann, Franz & Koberstein, Achim & Suhl, Uwe H., 2011. "Pivot-and-reduce cuts: An approach for improving Gomory mixed-integer cuts," European Journal of Operational Research, Elsevier, vol. 214(1), pages 15-26, October.
  15. Alves, Maria Joao & Climaco, Joao, 1999. "Using cutting planes in an interactive reference point approach for multiobjective integer linear programming problems," European Journal of Operational Research, Elsevier, vol. 117(3), pages 565-577, September.
  16. Saez, Jesus, 2000. "Solving linear programming relaxations associated with Lagrangean relaxations by Fenchel cutting planes," European Journal of Operational Research, Elsevier, vol. 121(3), pages 609-626, March.
  17. Jonathan Eckstein & Mikhail Nediak, 2005. "Depth-Optimized Convexity Cuts," Annals of Operations Research, Springer, vol. 139(1), pages 95-129, October.
  18. Drexl, Andreas & Nissen, Rudiger & Patterson, James H. & Salewski, Frank, 2000. "ProGen/[pi]x - An instance generator for resource-constrained project scheduling problems with partially renewable resources and further extensions," European Journal of Operational Research, Elsevier, vol. 125(1), pages 59-72, August.
  19. Lawrence C. Leung & Yer Van Hui & Yong Wang & Gang Chen, 2009. "A 0--1 LP Model for the Integration and Consolidation of Air Cargo Shipments," Operations Research, INFORMS, vol. 57(2), pages 402-412, April.
  20. Catanzaro, Daniele & Coniglio, Stefano & Furini, Fabio, 2021. "On the exact separation of cover inequalities of maximum-depth," LIDAM Discussion Papers CORE 2021018, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  21. Gérard Cornuéjols, 2007. "Revival of the Gomory cuts in the 1990’s," Annals of Operations Research, Springer, vol. 149(1), pages 63-66, February.
  22. Amitabh Basu & Robert Hildebrand & Matthias Köppe, 2016. "Light on the infinite group relaxation I: foundations and taxonomy," 4OR, Springer, vol. 14(1), pages 1-40, March.
  23. Escudero, L. F. & Munoz, S., 1998. "On characterizing tighter formulations for 0-1 programs," European Journal of Operational Research, Elsevier, vol. 106(1), pages 172-176, April.
  24. Vipul Jain & Ignacio E. Grossmann, 2001. "Algorithms for Hybrid MILP/CP Models for a Class of Optimization Problems," INFORMS Journal on Computing, INFORMS, vol. 13(4), pages 258-276, November.
  25. André R. S. Amaral, 2008. "An Exact Approach to the One-Dimensional Facility Layout Problem," Operations Research, INFORMS, vol. 56(4), pages 1026-1033, August.
  26. Egon Balas, 2005. "Projection, Lifting and Extended Formulation in Integer and Combinatorial Optimization," Annals of Operations Research, Springer, vol. 140(1), pages 125-161, November.
  27. Giuseppe Andreello & Alberto Caprara & Matteo Fischetti, 2007. "Embedding {0, ½}-Cuts in a Branch-and-Cut Framework: A Computational Study," INFORMS Journal on Computing, INFORMS, vol. 19(2), pages 229-238, May.
  28. Sebastián Ceria, 2007. "A brief history of lift-and-project," Annals of Operations Research, Springer, vol. 149(1), pages 57-61, February.
  29. Pereira, Dilson Lucas & Salles da Cunha, Alexandre, 2020. "Dynamic intersection of multiple implicit Dantzig–Wolfe decompositions applied to the adjacent only quadratic minimum spanning tree problem," European Journal of Operational Research, Elsevier, vol. 284(2), pages 413-426.
  30. Quoc Trung Bui & Yves Deville & Quang Dung Pham, 2016. "Exact methods for solving the elementary shortest and longest path problems," Annals of Operations Research, Springer, vol. 244(2), pages 313-348, September.
  31. Hugues Marchand & Laurence A. Wolsey, 2001. "Aggregation and Mixed Integer Rounding to Solve MIPs," Operations Research, INFORMS, vol. 49(3), pages 363-371, June.
  32. Caroe, Claus C. & Tind, Jorgen, 1997. "A cutting-plane approach to mixed 0-1 stochastic integer programs," European Journal of Operational Research, Elsevier, vol. 101(2), pages 306-316, September.
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