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A recursive procedure to generate all cuts for 0-1 mixed integer programs

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  • NEMHAUSER, George L.
  • WOLSEY, Laurence A.

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Suggested Citation

  • NEMHAUSER, George L. & WOLSEY, Laurence A., 1990. "A recursive procedure to generate all cuts for 0-1 mixed integer programs," LIDAM Reprints CORE 894, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:894
    DOI: 10.1007/BF01585752
    Note: In : Mathematical Programming, 46, 379-390, 1990
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    Cited by:

    1. Andreas Eisenblätter & Hans-Florian Geerdes & Thorsten Koch & Alexander Martin & Roland Wessäly, 2006. "UMTS radio network evaluation and optimization beyond snapshots," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(1), pages 1-29, February.
    2. Hamidur Rahman & Ashutosh Mahajan, 2020. "On the facet defining inequalities of the mixed-integer bilinear covering set," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 92(3), pages 545-575, December.
    3. Merve Bodur & James R. Luedtke, 2017. "Mixed-Integer Rounding Enhanced Benders Decomposition for Multiclass Service-System Staffing and Scheduling with Arrival Rate Uncertainty," Management Science, INFORMS, vol. 63(7), pages 2073-2091, July.
    4. 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.
    5. Adam N. Letchford, 2001. "On Disjunctive Cuts for Combinatorial Optimization," Journal of Combinatorial Optimization, Springer, vol. 5(3), pages 299-315, September.
    6. Alper Atamtürk, 2004. "Sequence Independent Lifting for Mixed-Integer Programming," Operations Research, INFORMS, vol. 52(3), pages 487-490, June.
    7. Alper Atamtürk & Martin Savelsbergh, 2005. "Integer-Programming Software Systems," Annals of Operations Research, Springer, vol. 140(1), pages 67-124, November.
    8. Karthekeyan Chandrasekaran & László A. Végh & Santosh S. Vempala, 2016. "The Cutting Plane Method is Polynomial for Perfect Matchings," Mathematics of Operations Research, INFORMS, vol. 41(1), pages 23-48, February.
    9. Aardal, K.I. & van Hoesel, S., 1995. "Polyhedral Techniques in Combinatorial Optimization," Other publications TiSEM ed028a07-eb6a-4c8d-8f21-d, Tilburg University, School of Economics and Management.
    10. Aardal, K.I. & van Hoesel, S., 1995. "Polyhedral Techniques in Combinatorial Optimization," Discussion Paper 1995-57, Tilburg University, Center for Economic Research.
    11. Alberto Del Pia & Robert Weismantel, 2016. "Relaxations of mixed integer sets from lattice-free polyhedra," Annals of Operations Research, Springer, vol. 240(1), pages 95-117, May.
    12. Amitabh Basu & Pierre Bonami & Gérard Cornuéjols & François Margot, 2011. "Experiments with Two-Row Cuts from Degenerate Tableaux," INFORMS Journal on Computing, INFORMS, vol. 23(4), pages 578-590, November.
    13. Bansal, Manish & Mehrotra, Sanjay, 2019. "On solving two-stage distributionally robust disjunctive programs with a general ambiguity set," European Journal of Operational Research, Elsevier, vol. 279(2), pages 296-307.
    14. Ta, Thuy Anh & Chan, Wyean & Bastin, Fabian & L’Ecuyer, Pierre, 2021. "A simulation-based decomposition approach for two-stage staffing optimization in call centers under arrival rate uncertainty," European Journal of Operational Research, Elsevier, vol. 293(3), pages 966-979.
    15. Yongpei Guan & Shabbir Ahmed & George L. Nemhauser, 2009. "Cutting Planes for Multistage Stochastic Integer Programs," Operations Research, INFORMS, vol. 57(2), pages 287-298, April.
    16. Alper Atamtürk, 2005. "Cover and Pack Inequalities for (Mixed) Integer Programming," Annals of Operations Research, Springer, vol. 139(1), pages 21-38, October.
    17. Matteo Fischetti & Domenico Salvagnin, 2013. "Approximating the Split Closure," INFORMS Journal on Computing, INFORMS, vol. 25(4), pages 808-819, November.
    18. Aardal, K. & van Hoesel, C.P.M., 1995. "Polyhedral techniques in combinatorial optimization," Research Memorandum 014, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    19. Hugues Marchand & Laurence A. Wolsey, 2001. "Aggregation and Mixed Integer Rounding to Solve MIPs," Operations Research, INFORMS, vol. 49(3), pages 363-371, June.
    20. Sanjeeb Dash, 2005. "Exponential Lower Bounds on the Lengths of Some Classes of Branch-and-Cut Proofs," Mathematics of Operations Research, INFORMS, vol. 30(3), pages 678-700, August.
    21. Santanu S. Dey & Andrea Lodi & Andrea Tramontani & Laurence A. Wolsey, 2014. "On the Practical Strength of Two-Row Tableau Cuts," INFORMS Journal on Computing, INFORMS, vol. 26(2), pages 222-237, May.
    22. Santanu S. Dey & Quentin Louveaux, 2011. "Split Rank of Triangle and Quadrilateral Inequalities," Mathematics of Operations Research, INFORMS, vol. 36(3), pages 432-461, August.
    23. Manish Bansal & Yingqiu Zhang, 2021. "Scenario-based cuts for structured two-stage stochastic and distributionally robust p-order conic mixed integer programs," Journal of Global Optimization, Springer, vol. 81(2), pages 391-433, October.

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