Gérard Cornuéjols

PHONE

412-268-2284

OFFICE

POS - Posner Hall - Room 232A

AREA OF EXPERTISE

Operations Research

EDUCATION

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

TEACHING AND RESEARCH INTERESTS

operations research, optimization

USEFUL LINKS

Personal Website

PUBLICATIONS

• Deciding Emptyness 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

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

(author(s): Gerard Cornuejols, Dabeen Lee) IPCO, 2016

• Cut-Generating Functions for Integer Variables

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

• 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

• "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

• 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

• 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

• Optimality Certificates for Convex Minimization and Helly Numbers

(author(s): Amitabh Basu, Michele Conforti, Gerard Cornuejols, Robert Weismantel, Stefan Weltge) Operations Research Letters

• Ideal Clutters that Do Not Pack

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

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

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

• Strategic Planning Committee on Research, Committee Member (2016 - )
• Dean Evaluation Committee, Committee Member (2016 - )
• Tepper Quad Public Art and Welcome Center Committee, Committee Member (2014 - )
• PhD Committee, Committee Member (2011 - )
• 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 -)
• 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)

COURSES TAUGHT

• Optimization Methods in Finance (45852) 2017 Mini 3 Section: E
  2016 Mini 3 Section: E

• Probability and Statistics (45750) 2016 Mini 1 Section: F, M
  2014 Mini 1 Section: A, B, C
  2013 Mini 1 Section: A, B, C
  2012 Mini 1 Section: A, B, C, F

• Advanced Graph Theory (47836) 2016 Mini 2 Section: A

• Integer Programming (47830) 2016 Mini 3 Section: A
  2012 Mini 3 Section: A
  2010 Mini 3 Section: A
  2008 Mini 3 Section: A

• Advanced Integer Programming (47831) 2016 Mini 4 Section: A
  2014 Mini 4 Section: A
  2012 Mini 4 Section: A
  2010 Mini 4 Section: A
  2008 Mini 4 Section: A

• Graph Theory (47835) 2014 Mini 2 Section: A

• Networks and Matchings (47836) 2012 Mini 2 Section: A
  2008 Mini 2 Section: A

• Probability and Statistics (45730) 2011 Mini 1 Section: A, B, C

• Probability and Decision Making (45730) 2010 Mini 1 Section: A, B, C
  2009 Mini 1 Section: A, B, C
  2009 Mini 3 Section: F, M

• Optimization Methods in Finance (45911) 2009 Mini 6 Section: E, M
  2008 Mini 2 Section: A
  2008 Mini 6 Section: E, M
  2007 Mini 6 Section: E, M
  2006 Mini 6 Section: E, M