Edit Profile (opens in new tab) Belotti, Pietro Compute Distance To: Compute Author ID: belotti.pietro Published as: Belotti, Pietro; Belotti, P. External Links: ORCID Documents Indexed: 36 Publications since 2004 Co-Authors: 67 Co-Authors with 33 Joint Publications 1,712 Co-Co-Authors all top 5 Co-Authors 3 single-authored 6 Liberti, Leo 5 Malucelli, Federico 4 Amaldi, Edoardo 4 Lee, Jon 4 Pinar, Mustafa Çelebi 3 Altın, Ayşegül 3 Góez, Julio César 3 Margot, François 3 Pólik, Imre 3 Ralphs, Ted K. 3 Terlaky, Tamás 2 Cafieri, Sonia 2 Capone, Antonio 2 Linderoth, Jeff T. 2 Lodi, Andrea 2 Miller, Andrew J. 2 Nannicini, Giacomo 2 Wächter, Andreas 1 Adams, Warren Philips 1 Adelgren, Nathan 1 Baier, Georg 1 Berthold, Timo 1 Bonami, Pierre 1 Brunetta, Lorenzo 1 Carello, Giuliana 1 Dearing, P. M. 1 Engel, Thomas 1 Fischetti, Matteo 1 Frangioni, Antonio 1 Furini, Fabio 1 Gleixner, Ambros M. 1 Gould, Nick I. M. 1 Gualandi, Stefano 1 Gupte, Akshay 1 Hauser, Raphael Andreas 1 Jost, Vincent 1 Kirches, Christian 1 Koster, Arie M. C. A. 1 Kucherenko, Sergei S. 1 Labbé, Martine V. 1 Latifoğlu, Çağrı 1 Leyffer, Sven 1 Luedtke, James R. 1 Maculan, Nelson F. 1 Maffioli, Francesco 1 Mahajan, Ashutosh 1 Misener, Ruth 1 Mittelmann, Hans Detlef 1 Monaci, Michele 1 Namazifar, Mahdi 1 Ndiaye, Malick M. 1 Nogales-Gómez, Amaya 1 Orlowski, Sebastian 1 Qualizza, Andrea 1 Raack, Christian 1 Rostami, Borzou 1 Sahinidis, Nikolaos V. 1 Salvagnin, Domenico 1 Shen, Ruobing 1 Smith, Andrea M. 1 Snyder, Lawrence V. 1 Soylu, Banu 1 Touati-Moungla, Nora 1 Traversi, Emiliano 1 Vigerske, Stefan 1 Wiecek, Margaret M. 1 Wiegele, Angelika all top 5 Serials 2 Discrete Applied Mathematics 2 Networks 2 Journal of Global Optimization 2 Optimization and Engineering 2 4OR 2 Discrete Optimization 2 Mathematical Programming Computation 1 Naval Research Logistics 1 Annals of Operations Research 1 European Journal of Operational Research 1 Computational Optimization and Applications 1 Top 1 INFORMS Journal on Computing 1 Optimization Methods & Software 1 Computer Networks 1 Acta Numerica 1 Optimization Letters all top 5 Fields 33 Operations research, mathematical programming (90-XX) 6 Computer science (68-XX) 4 Numerical analysis (65-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 600 times in 463 Documents Cited by ▼ Year ▼ Branching and bounds tightening techniques for non-connvex MINLP. Zbl 1179.90237Belotti, Pietro; Lee, Jon; Liberti, Leo; Margot, François; Wächter, Andreas 198 2009 Mixed-integer nonlinear optimization. Zbl 1291.65172Belotti, Pietro; Kirches, Christian; Leyffer, Sven; Linderoth, Jeff; Luedtke, James; Mahajan, Ashutosh 92 2013 Rounding-based heuristics for nonconvex MINLPS. Zbl 1257.90059Nannicini, Giacomo; Belotti, Pietro 27 2012 Provisioning virtual private networks under traffic uncertainty. Zbl 1131.90012Altın, A.; Amaldi, E.; Belotti, P.; Pınar, M. Ç 26 2007 A conic representation of the convex hull of disjunctive sets and conic cuts for integer second order cone optimization. Zbl 1330.65083Belotti, Pietro; Góez, Julio C.; Pólik, Imre; Ralphs, Ted K.; Terlaky, Tamás 22 2015 Feasibility-based bounds tightening via fixed points. Zbl 1311.90189Belotti, Pietro; Cafieri, Sonia; Lee, Jon; Liberti, Leo 22 2010 Linear programming relaxations of quadratically constrained quadratic programs. Zbl 1242.90155Qualizza, Andrea; Belotti, Pietro; Margot, François 22 2012 On families of quadratic surfaces having fixed intersections with two hyperplanes. Zbl 1288.90052Belotti, Pietro; Góez, Julio C.; Pólik, Imre; Ralphs, Ted K.; Terlaky, Tamás 21 2013 Fathoming rules for biobjective mixed integer linear programs: review and extensions. Zbl 1387.90152Belotti, Pietro; Soylu, Banu; Wiecek, Margaret M. 20 2016 On handling indicator constraints in mixed integer programming. Zbl 1357.90094Belotti, Pietro; Bonami, Pierre; Fischetti, Matteo; Lodi, Andrea; Monaci, Michele; Nogales-Gómez, Amaya; Salvagnin, Domenico 19 2016 QPLIB: a library of quadratic programming instances. Zbl 1435.90099Furini, Fabio; Traversi, Emiliano; Belotti, Pietro; Frangioni, Antonio; Gleixner, Ambros; Gould, Nick; Liberti, Leo; Lodi, Andrea; Misener, Ruth; Mittelmann, Hans; Sahinidis, Nikolaos V.; Vigerske, Stefan; Wiegele, Angelika 18 2019 A branch-and-cut method for the obnoxious \(p\)-median problem. Zbl 1145.90106Belotti, Pietro; Labbé, Martine; Maffioli, Francesco; Ndiaye, Malick M. 11 2007 Bound reduction using pairs of linear inequalities. Zbl 1272.90033Belotti, Pietro 10 2013 Valid inequalities and convex hulls for multilinear functions. Zbl 1274.90499Belotti, Pietro; Miller, Andrew J.; Namazifar, Mahdi 9 2010 Disjunctive cuts for nonconvex MINLP. Zbl 1242.90118Belotti, Pietro 8 2012 Multi-layer MPLS network design: The impact of statistical multiplexing. Zbl 1138.68011Belotti, Pietro; Capone, Antonio; Carello, Giuliana; Malucelli, Federico 8 2008 Multicommodity network design with discrete node costs. Zbl 1131.90006Belotti, P.; Malucelli, F.; Brunetta, L. 7 2007 New formulations for the Kissing Number Problem. Zbl 1144.90455Kucherenko, Sergei; Belotti, Pietro; Liberti, Leo; Maculan, Nelson 7 2007 Optimal oblivious routing under linear and ellipsoidal uncertainty. Zbl 1175.90088Belotti, Pietro; Pınar, Mustafa ç. 7 2008 Randomized relaxation methods for the maximum feasible subsystem problem. Zbl 1119.65327Amaldi, Edoardo; Belotti, Pietro; Hauser, Raphael 7 2005 Optimizing base station location and configuration in UMTS networks. Zbl 1106.90012Amaldi, Edoardo; Belotti, Pietro; Capone, Antonio; Malucelli, Federico 6 2006 A probing algorithm for MINLP with failure prediction by SVM. Zbl 1302.90160Nannicini, Giacomo; Belotti, Pietro; Lee, Jon; Linderoth, Jeff; Margot, François; Wächter, Andreas 5 2011 Lower bounding procedure for the asymmetric quadratic traveling salesman problem. Zbl 1346.90717Rostami, Borzou; Malucelli, Federico; Belotti, Pietro; Gualandi, Stefano 5 2016 Three ideas for a feasibility pump for nonconvex MINLP. Zbl 1373.90080Belotti, Pietro; Berthold, Timo 4 2017 Branch-and-cut techniques for solving realistic two-layer network design problems. Zbl 1187.68045Orlowski, Sebastian; Raack, Christian; Koster, Arie M. C. A.; Baier, Georg; Engel, Thomas; Belotti, Pietro 4 2010 On the composition of convex envelopes for quadrilinear terms. Zbl 1309.90062Belotti, Pietro; Cafieri, Sonia; Lee, Jon; Liberti, Leo; Miller, Andrew J. 4 2013 OSPF routing with optimal oblivious performance ratio under polyhedral demand uncertainty. Zbl 1273.90038Altın, Ayşegül; Belotti, Pietro; Pınar, Mustafa Ç. 3 2010 Virtual private network design under traffic uncertainty. Zbl 1152.68320Altın, A.; Amaldi, E.; Belotti, P.; Pınar, M. Ç. 2 2004 A primal algorithm for the weighted minimum covering ball problem in \(\mathbb {R}^n\). Zbl 1462.90125Dearing, P. M.; Belotti, Pietro; Smith, Andrea M. 2 2016 A complete characterization of disjunctive conic cuts for mixed integer second order cone optimization. Zbl 1387.90184Belotti, Pietro; Góez, Julio C.; Pólik, Imre; Ralphs, Ted K.; Terlaky, Tamás 2 2017 Efficient storage of Pareto points in biobjective mixed integer programming. Zbl 07271641Adelgren, Nathan; Belotti, Pietro; Gupte, Akshay 1 2018 Convex hull characterizations of lexicographic orderings. Zbl 1379.90016Adams, Warren; Belotti, Pietro; Shen, Ruobing 1 2016 QPLIB: a library of quadratic programming instances. Zbl 1435.90099Furini, Fabio; Traversi, Emiliano; Belotti, Pietro; Frangioni, Antonio; Gleixner, Ambros; Gould, Nick; Liberti, Leo; Lodi, Andrea; Misener, Ruth; Mittelmann, Hans; Sahinidis, Nikolaos V.; Vigerske, Stefan; Wiegele, Angelika 18 2019 Efficient storage of Pareto points in biobjective mixed integer programming. Zbl 07271641Adelgren, Nathan; Belotti, Pietro; Gupte, Akshay 1 2018 Three ideas for a feasibility pump for nonconvex MINLP. Zbl 1373.90080Belotti, Pietro; Berthold, Timo 4 2017 A complete characterization of disjunctive conic cuts for mixed integer second order cone optimization. Zbl 1387.90184Belotti, Pietro; Góez, Julio C.; Pólik, Imre; Ralphs, Ted K.; Terlaky, Tamás 2 2017 Fathoming rules for biobjective mixed integer linear programs: review and extensions. Zbl 1387.90152Belotti, Pietro; Soylu, Banu; Wiecek, Margaret M. 20 2016 On handling indicator constraints in mixed integer programming. Zbl 1357.90094Belotti, Pietro; Bonami, Pierre; Fischetti, Matteo; Lodi, Andrea; Monaci, Michele; Nogales-Gómez, Amaya; Salvagnin, Domenico 19 2016 Lower bounding procedure for the asymmetric quadratic traveling salesman problem. Zbl 1346.90717Rostami, Borzou; Malucelli, Federico; Belotti, Pietro; Gualandi, Stefano 5 2016 A primal algorithm for the weighted minimum covering ball problem in \(\mathbb {R}^n\). Zbl 1462.90125Dearing, P. M.; Belotti, Pietro; Smith, Andrea M. 2 2016 Convex hull characterizations of lexicographic orderings. Zbl 1379.90016Adams, Warren; Belotti, Pietro; Shen, Ruobing 1 2016 A conic representation of the convex hull of disjunctive sets and conic cuts for integer second order cone optimization. Zbl 1330.65083Belotti, Pietro; Góez, Julio C.; Pólik, Imre; Ralphs, Ted K.; Terlaky, Tamás 22 2015 Mixed-integer nonlinear optimization. Zbl 1291.65172Belotti, Pietro; Kirches, Christian; Leyffer, Sven; Linderoth, Jeff; Luedtke, James; Mahajan, Ashutosh 92 2013 On families of quadratic surfaces having fixed intersections with two hyperplanes. Zbl 1288.90052Belotti, Pietro; Góez, Julio C.; Pólik, Imre; Ralphs, Ted K.; Terlaky, Tamás 21 2013 Bound reduction using pairs of linear inequalities. Zbl 1272.90033Belotti, Pietro 10 2013 On the composition of convex envelopes for quadrilinear terms. Zbl 1309.90062Belotti, Pietro; Cafieri, Sonia; Lee, Jon; Liberti, Leo; Miller, Andrew J. 4 2013 Rounding-based heuristics for nonconvex MINLPS. Zbl 1257.90059Nannicini, Giacomo; Belotti, Pietro 27 2012 Linear programming relaxations of quadratically constrained quadratic programs. Zbl 1242.90155Qualizza, Andrea; Belotti, Pietro; Margot, François 22 2012 Disjunctive cuts for nonconvex MINLP. Zbl 1242.90118Belotti, Pietro 8 2012 A probing algorithm for MINLP with failure prediction by SVM. Zbl 1302.90160Nannicini, Giacomo; Belotti, Pietro; Lee, Jon; Linderoth, Jeff; Margot, François; Wächter, Andreas 5 2011 Feasibility-based bounds tightening via fixed points. Zbl 1311.90189Belotti, Pietro; Cafieri, Sonia; Lee, Jon; Liberti, Leo 22 2010 Valid inequalities and convex hulls for multilinear functions. Zbl 1274.90499Belotti, Pietro; Miller, Andrew J.; Namazifar, Mahdi 9 2010 Branch-and-cut techniques for solving realistic two-layer network design problems. Zbl 1187.68045Orlowski, Sebastian; Raack, Christian; Koster, Arie M. C. A.; Baier, Georg; Engel, Thomas; Belotti, Pietro 4 2010 OSPF routing with optimal oblivious performance ratio under polyhedral demand uncertainty. Zbl 1273.90038Altın, Ayşegül; Belotti, Pietro; Pınar, Mustafa Ç. 3 2010 Branching and bounds tightening techniques for non-connvex MINLP. Zbl 1179.90237Belotti, Pietro; Lee, Jon; Liberti, Leo; Margot, François; Wächter, Andreas 198 2009 Multi-layer MPLS network design: The impact of statistical multiplexing. Zbl 1138.68011Belotti, Pietro; Capone, Antonio; Carello, Giuliana; Malucelli, Federico 8 2008 Optimal oblivious routing under linear and ellipsoidal uncertainty. Zbl 1175.90088Belotti, Pietro; Pınar, Mustafa ç. 7 2008 Provisioning virtual private networks under traffic uncertainty. Zbl 1131.90012Altın, A.; Amaldi, E.; Belotti, P.; Pınar, M. Ç 26 2007 A branch-and-cut method for the obnoxious \(p\)-median problem. Zbl 1145.90106Belotti, Pietro; Labbé, Martine; Maffioli, Francesco; Ndiaye, Malick M. 11 2007 Multicommodity network design with discrete node costs. Zbl 1131.90006Belotti, P.; Malucelli, F.; Brunetta, L. 7 2007 New formulations for the Kissing Number Problem. Zbl 1144.90455Kucherenko, Sergei; Belotti, Pietro; Liberti, Leo; Maculan, Nelson 7 2007 Optimizing base station location and configuration in UMTS networks. Zbl 1106.90012Amaldi, Edoardo; Belotti, Pietro; Capone, Antonio; Malucelli, Federico 6 2006 Randomized relaxation methods for the maximum feasible subsystem problem. Zbl 1119.65327Amaldi, Edoardo; Belotti, Pietro; Hauser, Raphael 7 2005 Virtual private network design under traffic uncertainty. Zbl 1152.68320Altın, A.; Amaldi, E.; Belotti, P.; Pınar, M. Ç. 2 2004 all cited Publications top 5 cited Publications all top 5 Cited by 813 Authors 26 Liberti, Leo 20 Lodi, Andrea 12 D’Ambrosio, Claudia 12 Dey, Santanu Subhas 12 Misener, Ruth 12 Sahinidis, Nikolaos V. 11 Lee, Jon 10 Belotti, Pietro 10 Gleixner, Ambros M. 9 Berthold, Timo 9 Vielma, Juan Pablo 7 Atamtürk, Alper 7 Floudas, Christodoulos Achilleus 7 Hansen, Pierre 7 Stein, Oliver 6 Cafieri, Sonia 6 Fischetti, Matteo 6 Gómez, Andrés 6 Leyffer, Sven 6 Linderoth, Jeff T. 6 Mitchell, John E. 6 Muñoz, Gonzalo 6 Schmidt, Martin 6 Serrano, Felipe 6 Traversi, Emiliano 5 Buchheim, Christoph 5 Charkhgard, Hadi 5 Fortz, Bernard 5 Frangioni, Antonio 5 Kılınç, Mustafa R. 5 Luedtke, James R. 5 Martin, Alexander 5 Michaels, Dennis 5 Monaci, Michele 5 Pang, Jong-Shi 5 Poss, Michael 5 Salvagnin, Domenico 5 Santana, Asteroide 5 Schewe, Lars 5 Tawarmalani, Mohit 4 Altın, Ayşegül 4 Bent, Russell W. 4 Boland, Natashia L. 4 Bonami, Pierre 4 Costa, Alberto L. C. 4 Fampa, Marcia Helena C. 4 Fügenschuh, Armin R. 4 Grossmann, Ignacio E. 4 Gupte, Akshay 4 Kılınç Karzan, Fatma 4 Kirst, Peter 4 Locatelli, Marco 4 Lubin, Miles 4 Maculan, Nelson F. 4 Marín, Alfredo 4 Mitsos, Alexander 4 Nannicini, Giacomo 4 Pecci, Filippo 4 Pfetsch, Marc E. 4 Ralphs, Ted K. 4 Rodriguez-Chia, Antonio M. 4 Sager, Sebastian 4 Sagratella, Simone 4 Soylu, Banu 4 Stoianov, Ivan 4 Terlaky, Tamás 4 Wiegele, Angelika 3 Bienstock, Daniel 3 Dalkiran, Evrim 3 Espejo, Inmaculada 3 Geißler, Björn 3 Góez, Julio César 3 Gounaris, Chrysanthos E. 3 Gouveia, Luis 3 Hendrix, Eligius M. T. 3 Hijazi, Hassan 3 Klopfenstein, Olivier 3 Lavor, Carlile Campos 3 Lehmann, Thomas 3 Marinelli, Fabrizio 3 Melo, Wendel A. X. 3 Messine, Frédéric 3 Mittelmann, Hans Detlef 3 Mladenović, Nenad 3 Modaresi, Sina 3 Molinaro, Marco 3 Moura, Pedro S. 3 Müller, Benjamin 3 Neumann, Christoph 3 Nowak, Ivo 3 Patil, Bhagyesh V. 3 Raack, Christian 3 Richard, Jean-Philippe Pascal 3 Rinaldi, Francesco 3 Rossi, Roberto 3 Savelsbergh, Martin W. P. 3 Schmidt, Daniel R. 3 Sirvent, Mathias 3 Skipper, Daphne E. 3 Speakman, Emily ...and 713 more Authors all top 5 Cited in 75 Serials 69 Journal of Global Optimization 50 Mathematical Programming. Series A. Series B 41 European Journal of Operational Research 23 Computers & Operations Research 22 Computational Optimization and Applications 18 Optimization and Engineering 16 Optimization Letters 16 Mathematical Programming Computation 13 INFORMS Journal on Computing 13 Discrete Optimization 12 Annals of Operations Research 11 Operations Research Letters 11 Optimization Methods & Software 10 SIAM Journal on Optimization 8 Journal of Optimization Theory and Applications 7 Optimization 6 Networks 6 Top 6 4OR 6 EURO Journal on Computational Optimization 5 Discrete Applied Mathematics 5 Constraints 5 Mathematical Methods of Operations Research 4 Operations Research 4 International Transactions in Operational Research 2 Mathematics of Operations Research 2 Journal of Scientific Computing 2 Journal of Combinatorial Optimization 2 JMMA. Journal of Mathematical Modelling and Algorithms 2 Journal of Industrial and Management Optimization 2 Engineering Optimization 1 Artificial Intelligence 1 Computers & Mathematics with Applications 1 Inverse Problems 1 Information Processing Letters 1 Journal of the Franklin Institute 1 Physica A 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Automatica 1 Computing 1 Naval Research Logistics 1 SIAM Journal on Control and Optimization 1 Systems & Control Letters 1 Bulletin of the Iranian Mathematical Society 1 Discrete & Computational Geometry 1 Journal of Automated Reasoning 1 International Journal of Approximate Reasoning 1 SIAM Journal on Matrix Analysis and Applications 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Linear Algebra and its Applications 1 Cybernetics and Systems Analysis 1 Formal Methods in System Design 1 SIAM Journal on Scientific Computing 1 Fractals 1 The Journal of Artificial Intelligence Research (JAIR) 1 Mathematical Problems in Engineering 1 Multibody System Dynamics 1 Vietnam Journal of Mathematics 1 Journal of the ACM 1 Data Mining and Knowledge Discovery 1 Lobachevskii Journal of Mathematics 1 RAIRO. Operations Research 1 Journal of Machine Learning Research (JMLR) 1 ACM Journal of Experimental Algorithmics 1 Acta Numerica 1 Computational Management Science 1 Mathematics in Computer Science 1 Electronic Journal of Statistics 1 Journal of the Operations Research Society of China 1 SN Operations Research Forum 1 SIAM Journal on Mathematics of Data Science 1 OJMO. Open Journal of Mathematical Optimization all top 5 Cited in 27 Fields 443 Operations research, mathematical programming (90-XX) 41 Numerical analysis (65-XX) 36 Computer science (68-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Convex and discrete geometry (52-XX) 9 Statistics (62-XX) 6 Systems theory; control (93-XX) 5 Combinatorics (05-XX) 4 Probability theory and stochastic processes (60-XX) 3 Partial differential equations (35-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Mechanics of deformable solids (74-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Citations by Year