A Classifier to Decide on the Linearization of Mixed-Integer Quadratic Problems in CPLEX.

Pierre Bonami

Pierre Bonami Andrea Lodi 0001 Giulia Zarpellon A Classifier to Decide on the Linearization of Mixed-Integer Quadratic Problems in CPLEX. 3303-3320 2022 November 70 Oper. Res. 6 https://doi.org/10.1287/opre.2022.2267 db/journals/ior/ior70.html#BonamiLZ22

Pierre Bonami Domenico Salvagnin Andrea Tramontani Implementing Automatic Benders Decomposition in a Modern MIP Solver. 78-90 2020 IPCO https://doi.org/10.1007/978-3-030-45771-6_7 conf/ipco/2020 db/conf/ipco/ipco2020.html#BonamiST20

Pierre Bonami Andrea Lodi 0001 Jonas Schweiger Andrea Tramontani Solving Quadratic Programming by Cutting Planes. 1076-1105 2019 29 SIAM J. Optim. 2 https://doi.org/10.1137/16M107428X db/journals/siamjo/siamjo29.html#BonamiLST19

Pierre Bonami Oktay Günlük Jeff T. Linderoth Globally solving nonconvex quadratic programming problems with box constraints via integer programming methods. 333-382 2018 10 Math. Program. Comput. 3 https://doi.org/10.1007/s12532-018-0133-x https://www.wikidata.org/entity/Q130197918 db/journals/mpc/mpc10.html#BonamiGL18

Pierre Bonami Andrea Lodi 0001 Giulia Zarpellon Learning a Classification of Mixed-Integer Quadratic Programming Problems. 595-604 2018 CPAIOR https://doi.org/10.1007/978-3-319-93031-2_43 conf/cpaior/2018 db/conf/cpaior/cpaior2018.html#BonamiLZ18

Pierre Bonami Ambros M. Gleixner Jeff T. Linderoth Ruth Misener Designing and Implementing Algorithms for Mixed-Integer Nonlinear Optimization (Dagstuhl Seminar 18081). 64-87 2018 8 Dagstuhl Reports 2 https://doi.org/10.4230/DagRep.8.2.64 db/journals/dagstuhl-reports/dagstuhl-reports8.html#BonamiGLM18

Pierre Bonami Dorian Mazauric Yann Vaxès Maximum flow under proportional delay constraint. 58-66 2017 689 Theor. Comput. Sci. https://doi.org/10.1016/j.tcs.2017.05.034 db/journals/tcs/tcs689.html#BonamiMV17

Pierre Bonami Andrea Lodi 0001 Andrea Tramontani Sven Wiese Cutting Planes from Wide Split Disjunctions. 99-110 2017 IPCO https://doi.org/10.1007/978-3-319-59250-3_9 conf/ipco/2017 db/conf/ipco/ipco2017.html#Bonami0TW17

Pietro Belotti Pierre Bonami Matteo Fischetti Andrea Lodi 0001 Michele Monaci Amaya Nogales-Gómez Domenico Salvagnin On handling indicator constraints in mixed integer programming. 545-566 2016 65 Comput. Optim. Appl. 3 https://doi.org/10.1007/s10589-016-9847-8 db/journals/coap/coap65.html#BelottiBFLMNS16

Pierre Bonami Andrea Lodi 0001 Andrea Tramontani Sven Wiese On mathematical programming with indicator constraints. 191-223 2015 151 Math. Program. 1 https://doi.org/10.1007/s10107-015-0891-4 db/journals/mp/mp151.html#BonamiLTW15

Pierre Bonami François Margot Cut generation through binarization. 197-223 2015 154 Math. Program. 1-2 https://doi.org/10.1007/s10107-015-0924-z db/journals/mp/mp154.html#BonamiM15

Hassan L. Hijazi Pierre Bonami Adam Ouorou An Outer-Inner Approximation for Separable Mixed-Integer Nonlinear Programs. 31-44 2014 26 INFORMS J. Comput. 1 https://doi.org/10.1287/ijoc.1120.0545 db/journals/informs/informs26.html#HijaziBO14

Pierre Bonami Alberto Olivares Ernesto Staffetti Energy-Optimal Multi-Goal Motion Planning for Planar Robot Manipulators. 80-104 2014 163 J. Optim. Theory Appl. 1 https://doi.org/10.1007/s10957-013-0516-0 db/journals/jota/jota163.html#BonamiOS14

Pierre Bonami François Margot Cut Generation through Binarization. 174-185 2014 IPCO https://doi.org/10.1007/978-3-319-07557-0_15 conf/ipco/2014 db/conf/ipco/ipco2014.html#BonamiM14

Hassan L. Hijazi Pierre Bonami Adam Ouorou Robust delay-constrained routing in telecommunications. 163-181 2013 206 Ann. Oper. Res. 1 https://doi.org/10.1007/s10479-013-1371-y db/journals/anor/anor206.html#HijaziBO13

Pierre Bonami Jon Lee 0001 Sven Leyffer Andreas Wächter On branching rules for convex mixed-integer nonlinear optimization. 2013 18 ACM J. Exp. Algorithmics https://doi.org/10.1145/2532568 db/journals/jea/jea18.html#BonamiLLW13

Pierre Bonami Michele Conforti Gérard Cornuéjols Marco Molinaro 0001 Giacomo Zambelli Cutting planes from two-term disjunctions. 442-444 2013 41 Oper. Res. Lett. 5 https://doi.org/10.1016/j.orl.2013.05.005 db/journals/orl/orl41.html#BonamiCCMZ13

Pierre Bonami João P. M. Gonçalves Heuristics for convex mixed integer nonlinear programs. 729-747 2012 51 Comput. Optim. Appl. 2 https://doi.org/10.1007/s10589-010-9350-6 db/journals/coap/coap51.html#BonamiG12

Hassan L. Hijazi Pierre Bonami Gérard Cornuéjols Adam Ouorou Mixed-integer nonlinear programs featuring "on/off" constraints. 537-558 2012 52 Comput. Optim. Appl. 2 https://doi.org/10.1007/s10589-011-9424-0 db/journals/coap/coap52.html#HijaziBCO12

Pierre Bonami Leo Liberti Andrew J. Miller Annick Sartenaer Preface. 229-231 2012 136 Math. Program. 2 https://doi.org/10.1007/s10107-012-0607-y db/journals/mp/mp136.html#BonamiLMS12

Pierre Bonami On optimizing over lift-and-project closures. 151-179 2012 4 Math. Program. Comput. 2 https://doi.org/10.1007/s12532-012-0037-0 db/journals/mpc/mpc4.html#Bonami12

Pierre Bonami Viet Hung Nguyen Michel Klein Michel Minoux On the Solution of a Graph Partitioning Problem under Capacity Constraints. 285-296 2012 ISCO https://doi.org/10.1007/978-3-642-32147-4_26 conf/iscopt/2012 db/conf/iscopt/isco2012.html#BonamiNKM12

Amitabh Basu Pierre Bonami Gérard Cornuéjols François Margot Experiments with Two-Row Cuts from Degenerate Tableaux. 578-590 2011 23 INFORMS J. Comput. 4 https://doi.org/10.1287/ijoc.1100.0437 db/journals/informs/informs23.html#BasuBCM11

Amitabh Basu Pierre Bonami Gérard Cornuéjols François Margot On the relative strength of split, triangle and quadrilateral cuts. 281-314 2011 126 Math. Program. 2 https://doi.org/10.1007/s10107-009-0281-x db/journals/mp/mp126.html#BasuBCM11

Anureet Saxena Pierre Bonami Jon Lee 0001 Convex relaxations of non-convex mixed integer quadratically constrained programs: projected formulations. 359-413 2011 130 Math. Program. 2 https://doi.org/10.1007/s10107-010-0340-3 db/journals/mp/mp130.html#SaxenaBL11

Pierre Bonami Lift-and-Project Cuts for Mixed Integer Convex Programs. 52-64 2011 IPCO https://doi.org/10.1007/978-3-642-20807-2_5 conf/ipco/2011 db/conf/ipco/ipco2011.html#Bonami11

Hassan L. Hijazi Pierre Bonami Gérard Cornuéjols Adam Ouorou Mixed Integer NonLinear Programs featuring "On/Off" constraints: convex analysis and applications. 1153-1160 2010 36 Electron. Notes Discret. Math. https://doi.org/10.1016/j.endm.2010.05.146 db/journals/endm/endm36.html#HijaziBCO10

Anureet Saxena Pierre Bonami Jon Lee 0001 Convex relaxations of non-convex mixed integer quadratically constrained programs: extended formulations. 383-411 2010 124 Math. Program. 1-2 https://doi.org/10.1007/s10107-010-0371-9 db/journals/mp/mp124.html#SaxenaBL10

Pierre Bonami On optimizing over lift-and-project closures http://arxiv.org/abs/1010.5412 2010 CoRR abs/1010.5412 db/journals/corr/corr1010.html#abs-1010-5412

Pierre Bonami Miguel A. Lejeune An Exact Solution Approach for Portfolio Optimization Problems Under Stochastic and Integer Constraints. 650-670 2009 57 Oper. Res. 3 https://doi.org/10.1287/opre.1080.0599 db/journals/ior/ior57.html#BonamiL09

Pierre Bonami Gérard Cornuéjols Andrea Lodi 0001 François Margot A Feasibility Pump for mixed integer nonlinear programs. 331-352 2009 119 Math. Program. 2 https://doi.org/10.1007/s10107-008-0212-2 db/journals/mp/mp119.html#BonamiCLM09

Egon Balas Pierre Bonami Generating lift-and-project cuts from the LP simplex tableau: open source implementation and testing of new variants. 165-199 2009 1 Math. Program. Comput. 2-3 https://doi.org/10.1007/s12532-009-0006-4 https://www.wikidata.org/entity/Q115144378 db/journals/mpc/mpc1.html#BalasB09

Amitabh Basu Pierre Bonami Gérard Cornuéjols François Margot On the relative strength of split, triangle and quadrilateral cuts. 1220-1229 2009 SODA https://doi.org/10.1137/1.9781611973068.132 http://dl.acm.org/citation.cfm?id=1496770.1496902 conf/soda/2009 db/conf/soda/soda2009.html#BasuBCM09

Pierre Bonami Lorenz T. Biegler Andrew R. Conn Gérard Cornuéjols Ignacio E. Grossmann Carl D. Laird Jon Lee 0001 Andrea Lodi 0001 François Margot Nicolas W. Sawaya Andreas Wächter An algorithmic framework for convex mixed integer nonlinear programs. 186-204 2008 5 Discret. Optim. 2 https://doi.org/10.1016/j.disopt.2006.10.011 db/journals/disopt/disopt5.html#BonamiBCCGLLLMSW08

Pierre Bonami Gérard Cornuéjols Sanjeeb Dash Matteo Fischetti Andrea Lodi 0001 Projected Chvátal-Gomory cuts for mixed integer linear programs. 241-257 2008 113 Math. Program. 2 https://doi.org/10.1007/s10107-006-0051-y db/journals/mp/mp113.html#BonamiCDFL08

Pierre Bonami Gérard Cornuéjols A note on the MIR closure. 4-6 2008 36 Oper. Res. Lett. 1 https://doi.org/10.1016/j.orl.2007.03.011 db/journals/orl/orl36.html#BonamiC08

Anureet Saxena Pierre Bonami Jon Lee 0001 Disjunctive Cuts for Non-convex Mixed Integer Quadratically Constrained Programs. 17-33 2008 IPCO https://doi.org/10.1007/978-3-540-68891-4_2 conf/ipco/2008 db/conf/ipco/ipco2008.html#SaxenaBL08 Egon Balas Pierre Bonami New Variants of Lift-and-Project Cut Generation from the LP Tableau: Open Source Implementation and Testing. 89-103 2007 conf/ipco/2007 IPCO https://doi.org/10.1007/978-3-540-72792-7_8 db/conf/ipco/ipco2007.html#BalasB07

Pierre Bonami Michel Minoux Exact MAX-2SAT solution via lift-and-project closure. 387-393 2006 34 Oper. Res. Lett. 4 https://doi.org/10.1016/j.orl.2005.07.001 db/journals/orl/orl34.html#BonamiM06

Pierre Bonami Michel Minoux Using rank-1 lift-and-project closures to generate cuts for 0-1 MIPs, a computational investigation. 288-307 2005 2 Discret. Optim. 4 https://doi.org/10.1016/j.disopt.2005.08.006 db/journals/disopt/disopt2.html#BonamiM05

Egon Balas Amitabh Basu Pietro Belotti Lorenz T. Biegler Michele Conforti Andrew Conn 0001Andrew R. Conn Gérard Cornuéjols Sanjeeb Dash Matteo Fischetti Ambros M. Gleixner João P. M. Gonçalves Ignacio E. Grossmann Oktay Günlük Hassan L. Hijazi Michel Klein Carl D. Laird Jon Lee 0001 Miguel A. Lejeune Sven Leyffer Leo Liberti Jeff T. Linderoth Andrea Lodi 0001 François Margot Dorian Mazauric Andrew J. Miller Michel Minoux Ruth Misener Marco Molinaro 0001 Michele Monaci Viet Hung Nguyen Amaya Nogales-Gómez Alberto Olivares Adam Ouorou Domenico Salvagnin Annick Sartenaer Nicolas W. Sawaya Anureet Saxena Jonas Schweiger Ernesto Staffetti Andrea Tramontani Yann Vaxès Andreas Wächter Sven Wiese Giacomo Zambelli Giulia Zarpellon