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Progress in computational mixed integer programming—A look back from the other side of the tipping point

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  • Robert Bixby
  • Edward Rothberg

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  • Robert Bixby & Edward Rothberg, 2007. "Progress in computational mixed integer programming—A look back from the other side of the tipping point," Annals of Operations Research, Springer, vol. 149(1), pages 37-41, February.
    • Handle: RePEc:spr:annopr:v:149:y:2007:i:1:p:37-41:10.1007/s10479-006-0091-y
    DOI: 10.1007/s10479-006-0091-y
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    1. MARCHAND, Hugues & WOLSEY, Laurence A., 2001. "Aggregation and mixed integer rounding to solve mips," LIDAM Reprints CORE 1513, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Zonghao Gu & George L. Nemhauser & Martin W. P. Savelsbergh, 1998. "Lifted Cover Inequalities for 0-1 Integer Programs: Computation," INFORMS Journal on Computing, INFORMS, vol. 10(4), pages 427-437, November.
    3. VAN ROY, Tony J. & WOLSEY, Laurence A., 1985. "Valid inequalities and separation for uncapacitated fixed charge networks," LIDAM Reprints CORE 671, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Karla L. Hoffman & Manfred Padberg, 1991. "Improving LP-Representations of Zero-One Linear Programs for Branch-and-Cut," INFORMS Journal on Computing, INFORMS, vol. 3(2), pages 121-134, May.
    5. Hugues Marchand & Laurence A. Wolsey, 2001. "Aggregation and Mixed Integer Rounding to Solve MIPs," Operations Research, INFORMS, vol. 49(3), pages 363-371, June.
    6. M. W. Padberg & T. J. Van Roy & L. A. Wolsey, 1985. "Valid Linear Inequalities for Fixed Charge Problems," Operations Research, INFORMS, vol. 33(4), pages 842-861, August.
    7. Atamturk, Alper & Nemhauser, George L. & Savelsbergh, Martin W. P., 2000. "Conflict graphs in solving integer programming problems," European Journal of Operational Research, Elsevier, vol. 121(1), pages 40-55, February.
    8. Padberg, M.W. & Van Roy, T.J. & Wolsey, L.A., 1985. "Valid linear inequalities for fixed charge problems," LIDAM Reprints CORE 656, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Meenarli Sharma & Prashant Palkar & Ashutosh Mahajan, 2022. "Linearization and parallelization schemes for convex mixed-integer nonlinear optimization," Computational Optimization and Applications, Springer, vol. 81(2), pages 423-478, March.
    2. Francisco Trespalacios & Ignacio E. Grossmann, 2015. "Algorithmic Approach for Improved Mixed-Integer Reformulations of Convex Generalized Disjunctive Programs," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 59-74, February.
    3. Amar K. Narisetty & Jean-Philippe P. Richard & George L. Nemhauser, 2011. "Lifted Tableaux Inequalities for 0--1 Mixed-Integer Programs: A Computational Study," INFORMS Journal on Computing, INFORMS, vol. 23(3), pages 416-424, August.
    4. Alexandra M. Newman & Martin Weiss, 2013. "A Survey of Linear and Mixed-Integer Optimization Tutorials," INFORMS Transactions on Education, INFORMS, vol. 14(1), pages 26-38, September.
    5. Alexandra M. Newman & Enrique Rubio & Rodrigo Caro & Andrés Weintraub & Kelly Eurek, 2010. "A Review of Operations Research in Mine Planning," Interfaces, INFORMS, vol. 40(3), pages 222-245, June.
    6. Patrick Gemander & Wei-Kun Chen & Dieter Weninger & Leona Gottwald & Ambros Gleixner & Alexander Martin, 2020. "Two-row and two-column mixed-integer presolve using hashing-based pairing methods," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 8(3), pages 205-240, October.
    7. Bertrand Neveu & Gilles Trombettoni & Ignacio Araya, 2016. "Node selection strategies in interval Branch and Bound algorithms," Journal of Global Optimization, Springer, vol. 64(2), pages 289-304, February.
    8. Malheiro, André & Castro, Pedro M. & Lima, Ricardo M. & Estanqueiro, Ana, 2015. "Integrated sizing and scheduling of wind/PV/diesel/battery isolated systems," Renewable Energy, Elsevier, vol. 83(C), pages 646-657.
    9. Joey Huchette & Joey Huchette, 2019. "A Combinatorial Approach for Small and Strong Formulations of Disjunctive Constraints," Mathematics of Operations Research, INFORMS, vol. 44(3), pages 793-820, August.
    10. Roger Rocha & Ignacio Grossmann & Marcus Poggi de Aragão, 2013. "Cascading Knapsack Inequalities: reformulation of a crude oil distribution problem," Annals of Operations Research, Springer, vol. 203(1), pages 217-234, March.
    11. Ricardo M. Lima & Ignacio E. Grossmann, 2017. "On the solution of nonconvex cardinality Boolean quadratic programming problems: a computational study," Computational Optimization and Applications, Springer, vol. 66(1), pages 1-37, January.
    12. Ndayikengurutse Adrien & Huang Siming, 2020. "Implementation of Presolving and Interior-Point Algorithm for Linear & Mixed Integer Programming: SOFTWARE," Journal of Systems Science and Information, De Gruyter, vol. 8(3), pages 195-223, June.
    13. Yang, Yudi & Fan, Yueyue, 2015. "Data dependent input control for origin–destination demand estimation using observability analysis," Transportation Research Part B: Methodological, Elsevier, vol. 78(C), pages 385-403.
    14. Yi Zhang & Nikolaos V. Sahinidis & Carlos Nohra & Gang Rong, 2020. "Optimality-based domain reduction for inequality-constrained NLP and MINLP problems," Journal of Global Optimization, Springer, vol. 77(3), pages 425-454, July.
    15. Shyam S. G. Perumal & Jesper Larsen & Richard M. Lusby & Morten Riis & Tue R. L. Christensen, 2022. "A column generation approach for the driver scheduling problem with staff cars," Public Transport, Springer, vol. 14(3), pages 705-738, October.
    16. Amaro Sousa & Carlos Borges Lopes & Paulo Monteiro, 2016. "Compact ILP formulations for the routing and wavelength assignment problem in the design of optical transport networks with regenerators," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 4(2), pages 189-213, May.
    17. 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.
    18. Tobias Achterberg & Robert E. Bixby & Zonghao Gu & Edward Rothberg & Dieter Weninger, 2020. "Presolve Reductions in Mixed Integer Programming," INFORMS Journal on Computing, INFORMS, vol. 32(2), pages 473-506, April.
    19. Michele Conforti & Gérard Cornuéjols & Aris Daniilidis & Claude Lemaréchal & Jérôme Malick, 2015. "Cut-Generating Functions and S -Free Sets," Mathematics of Operations Research, INFORMS, vol. 40(2), pages 276-391, February.
    20. Martin L. Smith & Stewart J. Wicks, 2014. "Medium-Term Production Scheduling of the Lumwana Mining Complex," Interfaces, INFORMS, vol. 44(2), pages 176-194, April.
    21. Dimitris Bertsimas & Michael Lingzhi Li, 2022. "Stochastic Cutting Planes for Data-Driven Optimization," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2400-2409, September.
    22. W. Brian Lambert & Andrea Brickey & Alexandra M. Newman & Kelly Eurek, 2014. "Open-Pit Block-Sequencing Formulations: A Tutorial," Interfaces, INFORMS, vol. 44(2), pages 127-142, April.
    23. Bozhen Jiang & Qin Wang & Shengyu Wu & Yidi Wang & Gang Lu, 2024. "Advancements and Future Directions in the Application of Machine Learning to AC Optimal Power Flow: A Critical Review," Energies, MDPI, vol. 17(6), pages 1-17, March.
    24. José R. Zubizarreta, 2012. "Using Mixed Integer Programming for Matching in an Observational Study of Kidney Failure After Surgery," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 107(500), pages 1360-1371, December.

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