Gérard P. Cornuéjols

IBM University Professor of Operations Research, Emeritus

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Education

• Cornell University - Ph D - 1978
• ENPC (Paris) - BS - 1974

Research

operations research, optimization

Publications

• When the Gomory-Chvatal Closure Coincides with the Integer Hull

  (author(s): Gerard Cornuejols, Yanjun Li)
  Operations Research Letters 46, 2018; 251-256

• On Some Polytopes Contained in the 0,1 Hypercube that Have a Small Chvatal Rank

  (author(s): Gerard Cornuejols, Dabeen Lee)
  Mathematical Programming B, 2018

• Optimality Certificates for Convex Minimization and Helly Numbers

  (author(s): Amitabh Basu, Michele Conforti, Gerard Cornuejols, Robert Weismantel, Stefan Weltge)
  Operations Research Letters 45, 2017; 671-674

• From Estimation to Optimization via Shrinkage

  (author(s): Gerard Cornuejols, Danial Davarnia)
  Operations Research Letters 45, 2017; 642-646

• Ideal Clutters that Do Not Pack

  (author(s): Ahmad Abdi, Gerard Cornuejols, Kanstantsin Pashkovich)
  Mathematics of Operations Research, 2017

• Cut-Generating Functions for Integer Variables

  (author(s): Sercan Yildiz, Gerard Cornuejols)
  Mathematics of Operations Research, 2016

• Deciding Emptiness of the Gomory-Chvatal Closure in NP-Complete, Even for a Rational Polyhedron Containing No Integer Point

  (author(s): Gerard Cornuejols, Yanjun Li)
  IPCO 2016, 2016; 387-397

• On Some Polytopes Contained in the 0,1 Hypercube that Have a Small Chvatal Rank

  (author(s): Gerard Cornuejols, Dabeen Lee)
  IPCO 2016, 2016; 300-311

• Disjunctive Cuts for Cross-Sections of the Second-Order Cone

  (author(s): Sercan Yildiz, Gerard Cornuejols)
  Operations Research Letters 43, 2015; 432-437

• Sufficiency of Cut-Generating Functions

  (author(s): Gerard Cornuejols, Sercan Yildiz, Laurence Wolsey)
  Mathematical Programming A 152, 2015; 643-651

• On the Relative Strength of Families of Intersection Cuts Arising from Pairs of Tableau Constraints in Mixed Integer Programs

  (author(s): Yogesh Awate, Gerard Cornuejols, Bertrand Guenin, Levent Tuncel)
  Mathematical Programming 150, 2015; 459-489

• Cut-Generating Functions and S-Free Sets

  (author(s): Michele Conforti, Gerard Cornuejols, Aris Daniilidis, Claude Lemarechal, Jerome Malick)
  Mathematics of Operations Research, 2015; 276-301

• Special Issue: International Symposium on Mathematical Programming, Pittsburgh, July 2015

  (author(s): Gerard Cornuejols, Andrew Schaefer)
  Mathematical Programming B, 2015

• Integer Programming

  (author(s): Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
  Springer, 2014

• On the Safety of Gomory Cut Generators

  (author(s): Gerard Cornuejols, François Margot, Giacomo Nannicini)
  Mathematical Programming Computation 5(4), 2013; 345-395

• Cutting Planes from Two-Term Disjunctions

  (author(s): Pierre Bonami, Michele Conforti, Gerard Cornuejols, Marco Molinaro, Giacomo Zambelli)
  Operations Research Letters 41, 2013; 442-444

• Extended Formulations in Combinatorial Optimization

  (author(s): Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
  Annals of Operations Research 204, 2013; 97-143

• Lifting Gomory Cuts with Bounded Variables

  (author(s): Gerard Cornuejols, Marco Molinaro, Tamas Kis)
  Operations Research Letters 41, 2013; 142-146

• A 3-Slope Theorem for the Infinite Relaxation in the Plane

  (author(s): Gerard Cornuejols, Marco Molinaro)
  Mathematical Programming 142, 2013; 83-105

• Combining lift-and-project and reduce-and-split

  (author(s): Egon Balas, Gerard Cornuejols, Tamas Kis, Giacomo Nannicini)
  INFORMS Journal on Computing 25(3), 2013; 475-487

• Unique Lifting of Integer Variables in Minimal Inequalities

  (author(s): Amitabh Basu, Manoel Campelo, Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
  Mathematical Programming 141, 2013; 561-576

• Cut-Generating Functions

  (author(s): Michele Conforti, Gerard Cornuejols, Aris Daniilidis, Claude Lemarechal, Jerome Malick)
  LNCS, Springer 7801, 2013; 123-132

• A Counterexample to a Conjecture of Gomory and Johnson

  (author(s): Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
  Mathematical Programming A, 2012; 25-38

• How Tight is the Corner Relaxation? Insights Gained from the Stable Set Problem

  (author(s): Gerard Cornuejols, Carla Michini, Giacomo Nannicini)
  Discrete Optimization 9, 2012; 109-121

• Mixed Integer NonLinear Programs featuring 'On/Off' Constraints: Convex Analysis and Applications

  (author(s): Hassan Hijazi, Pierre Bonami, Gerard Cornuejols, Adam Ouorou)
  Computational Optimization and Applications 52, 2012; 537-558

• Unique Minimal Liftings for Simplicial Polytopes

  (author(s): Amitabh Basu, Gerard Cornuejols, Matthias Koeppe)
  Mathematics of Operations Research 37, 2012; 346-355

• Intersection Cuts with Infinite Split Rank

  (author(s): Amitabh Basu, Gerard Cornuejols, François Margot)
  Mathematics of Operations Research 37, 2012; 21-40

• Convex Sets And Minimal Sublinear Functions

  (author(s): Amitabh Basu, Gerard Cornuejols, Giacomo Zambelli)
  Journal of Convex Analysis 18(2), 2011; 427-432

• Corner Polyhedron and Intersection Cuts

  (author(s): Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
  Surveys in Operations Research and Management Science 16, 2011; 105-120

• Improved Strategies for Branching on General Disjunctions

  Mathematical Programming A 130, 2011; 225-247

• On the Relative Strenght of Split, Triangle and Quadrilateral Cuts
  Mathematical Programming

  (author(s): Amitabh Basu, Pierre Bonami, Gerard Cornuejols, François Margot)
  Mathematical Programming 126, 2011; 281-314

• Practical Strategies for Generating Rank-1 Split Cuts in Mixed-Integer Linear Programming

  Mathematical Programming Computation 3, 2011; 281-318

• Experiments With Two-Row Cuts From Degenerate Tableaux

  (author(s): Amitabh Basu, Pierre Bonami, Gerard Cornuejols, François Margot)
  Informs Journal On Computing 23(4), 2011; 578-590

• Combining Lift-and-Project and Reduce-and-Split

  (author(s): Egon Balas, Gerard Cornuejols, Tamas Kis, Giacomo Nannicini)
  INFORMS Journal on Computing, 2011

• Branching On General Disjunctions

  (author(s): Miroslav Karamanov, Gerard Cornuejols)
  Mathematical Programming 128(2-Jan), 2011; 403-436

• A Geometric Perspective On Lifting

  (author(s): Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
  Operations Research 59(3), 2011; 569-577

• On The Relative Strength Of Split, Triangle And Quadrilateral Cuts (extended abstract)

  (author(s): Amitabh Basu, Pierre Bonami, Gerard Cornuejols, François Margot)
  SODA 2009, SIAM-ACM, 2011; 1220-1229

• Minimal Inequalities For An Infinite Relaxation Of Integer Programs

  (author(s): Amitabh Basu, Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
  Siam Journal On Discrete Mathematics 24(1), 2010; 158-168

• Maximal Lattice-Free Convex Sets In Linear Subspaces

  (author(s): Amitabh Basu, Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
  Mathematics Of Operations Research 35(3), 2010; 704-720

• Equivalence Between Intersection Cuts And The Corner Polyhedron

  (author(s): Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
  Operations Research Letters 38(3), 2010; 153-155

• Extended Formulations In Combinatorial Optimization

  (author(s): Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
  4Or-A Quarterly Journal Of Operations Research 8(1), 2010

• Stable Sets, Corner Polyhedra And The Chvatal Closure

  (author(s): Manoel Campelo, Gerard Cornuejols)
  Operations Research Letters 37(6), 2009; 375-378

• On The Facets Of Mixed Integer Programs With Two Integer Variables And Two Constraints

  (author(s): Gerard Cornuejols, François Margot)
  Mathematical Programming 120(2), 2009; 429-456

• Minimal Valid Inequalities For Integer Constraints

  (author(s): Valentin Borozan, Gerard Cornuejols)
  Mathematics Of Operations Research 34(3), 2009; 538-546

• A Feasibility Pump For Mixed Integer Nonlinear Programs

  (author(s): Pierre Bonami, Gerard Cornuejols, Andrea Lodi, François Margot)
  Mathematical Programming 119(2), 2009; 331-352

• Lehman Matrices

  (author(s): Gerard Cornuejols, Bertrand Guenin, Levent Tuncel)
  Journal Of Combinatorial Theory Series B 99(3), 2009; 531-556

• Projected Chvatal-Gomory Cuts For Mixed Integer Linear Programs

  (author(s): Pierre Bonami, Gerard Cornuejols, Sanjeeb Dash, Matteo Fischetti, Andrea Lodi)
  Mathematical Programming 113(2), 2008; 241-257

• An Algorithmic Framework For Convex Mixed Integer Nonlinear Programs

  (author(s): Pierre Bonami, Lorenz T. Biegler, Andrew R. Conna, Gerard Cornuejols, Ignacio E. Grossmann, Carl D. Laird, Jon Lee, Andrea Lodi, François Margot, Nicolas Sawaya, Andreas Wachter)
  Discrete Optimization 5(2), 2008; 186-204

• Valid Inequalities For Mixed Integer Linear Programs

  Mathematical Programming 112(1), 2008

• A Note On The Mir Closure

  (author(s): Pierre Bonami, Gerard Cornuejols)
  Operations Research Letters 36(1), 2008

• Revival Of The Gomory Cuts In The 1990'S

  Annals Of Operations Research 149(1), 2007; 63-66

• Decomposing Berge Graphs Containing No Proper Wheel, Long Prism Or Their Complements

  (author(s): Michele Conforti, Gerard Cornuejols, Giacomo Zambelli)
  Combinatorica 26(5), 2006; 533-558

• Odd Hole Recognition In Graphs Of Bounded Clique Size

  (author(s): M Conforti, Gerard Cornuejols, XM Liu, K Vuskovic, G Zambelli)
  Siam Journal On Discrete Mathematics 20(1), 2006; 42-48

• Balanced Matrices

  (author(s): Michele Conforti, Gerard Cornuejols, Kristina Vuskovic)
  Discrete Mathematics 306(19-20), 2006; 2411-2437

• A Convex-Analysis Perspective On Disjunctive Cuts

  (author(s): Gerard Cornuejols, C Lemarechal)
  Mathematical Programming 106(3), 2006; 567-586

• Early Estimates Of The Size Of Branch-And-Bound Trees

  (author(s): Gerard Cornuejols, M Karamanov, YJ Li)
  Informs Journal On Computing 18(1), 2006; 86-96

• Recognizing Berge Graphs

  (author(s): M Chudnovsky, Gerard Cornuejols, XM Liu, P Seymour, K Vuskovic)
  Combinatorica 25(2), 2005; 143-186

• Reduce-And-Split Cuts: Improving The Performance Of Mixed-Integer Gomory Cuts

  (author(s): K Andersen, Gerard Cornuejols, YJ Li)
  Management Science 51(11), 2005; 1720-1732

• Split Closure And Intersection Cuts

  (author(s): K Andersen, Gerard Cornuejols, YJ Li)
  Mathematical Programming 102(3), 2005; 457-493

• The Packing Property

  (author(s): Gerard Cornuejols, B Guenin, François Margot)
  Mathematical Programming 89(1), 2000; 113-126

• The Packing Property

  (author(s): Gerard Cornuejols, B Guenin, François Margot)
  Integer Programming And Combinatorial Optimization 1412, 1998; 8-Jan

• Gomory Cuts Revisited

  (author(s): Egon Balas, S Ceria, Gerard Cornuejols, N Natraj)
  Operations Research Letters 19(1), 1996

Working Papers

• On the Rational Polytopes with Chvatal Rank 1

  (author(s): Gerard Cornuejols, Dabeen Lee, Yanjun Li)
  Mathematical Programming, 2018

• Incorporating Black-Litterman Views in Portfolio Construction when Stock Returns are a Mixture of Normals

  (author(s): Gerard Cornuejols, Borak Kosuk)
  Omega

• Resistant sets in the unit hypercube

  (author(s): Ahmad Abdi, Gerard Cornuejols, Dabeen Lee)
  Mathematics of Operations Research

• Bayesian Solution Estimators in Stochastic Optimization

  (author(s): Gerard Cornuejols, Danial Davarnia, Burak Kocuk)
  SIAM Journal on Optimization

• Cuboids, A Class of Clutters

  (author(s): Ahmad Abdi, Gerard Cornuejols, Natalia Guricanova, Dabeen Lee)
  Journal of Combinatorial Theory B

Awards and Honors

• National Academy of Engineering - Member, National Academy of Engineering (2016)
• INFORMS - Lanchester Prize (2015)
• INFORMS - John von Neumann Theory Prize (2011)
• SIAM and MOS - Dantzig Prize (2009)

University Service

• PhD Committee, Committee Member (2011 - )
• Tepper Quad Public Art and Welcome Center Committee, Committee Member (2014 - 2017)
• Strategic Planning Committee on Research, Committee Member (2016 - 2017)
• Dean Evaluation Committee, Committee Member (2016 - 2016)
• Guidelines for Centers at the Tepper School, Committee Chair (2012 - 2012)
• Dean Search, Committee Member (2010 - 2011)

Public Service

• University of Waterloo, research (2002 - )
• University of Padova, research (1990 - )
• Hausdorff Institute, Research Fellow (2015 - 2015)

Professional Activities

• Editorial Review Board Member, Mathematics of Operations Research (January 2004 -)
• Editorial Review Board Member, RAIRO (January 2004 -)
• Committee Member, International Symposium on Mathematical Programming, Scientific Program (January 2017 - July 2018)
• Conference Organizer, Summer School on Polyhedral Combinatorics (January 2015 - July 2015)
• Conference Organizer, ISMP 2015 International Symposium on Mathematical Programming, Program Chair (August 2012 - July 2015)
• Book Editor, MOS-SIAM Series on Optimization (2010 - 2014)
• Committee Chair, Workshop on Combinatorial Optimization (November 2012 - November 2014)
• Workshop Organizer, RK60 (September 2012 - May 2013)
• Member, INFORMS, INFORMS Publications Committee (January 2011 - December 2012)
• Conference-Related, International Symposium on Mathematical Programming, Program Committee Member (January 2010 - August 2012)
• Editor-in-Chief, Mathematics of Operations Research (January 1999 - 2003)