BARON swMATH ID: 66 Software Authors: Sahinidis, Nikolaos V. Description: BARON is a computational system for solving nonconvex optimization problems to global optimality. Purely continuous, purely integer, and mixed-integer nonlinear problems can be solved with the software. The Branch And Reduce Optimization Navigator derives its name from its combining constraint propagation, interval analysis, and duality in its reduce arsenal with enhanced branch and bound concepts as it winds its way through the hills and valleys of complex optimization problems in search of global solutions Homepage: http://archimedes.cheme.cmu.edu/?q=baron Keywords: branch-and-bound; polynomial programming; multiplicative programming; fixed-charge problem; branch-and-reduce optimization navigator; nonconvex optimization; global optimality Related Software: GAMS; CPLEX; SCIP; ANTIGONE; LINDO; Ipopt; Bonmin; Couenne; MINLPLib; GloMIQO; LINDOGlobal; Gurobi; SNOPT; CONOPT; AMPL; SeDuMi; Matlab; MINOS; INTOPT_90; MINLP Cited in: 378 Publications Further Publications: http://scholar.google.gr/citations?hl=en&user=PTXe50QAAAAJ Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Exploiting integrality in the global optimization of mixed-integer nonlinear programming problems with BARON. Zbl 1398.90110Kılınç, Mustafa R.; Sahinidis, Nikolaos V. 2018 BARON: A general purpose global optimization software package. Zbl 0856.90104Sahinidis, Nikolaos V. 1996 all top 5 Cited by 611 Authors 37 Sahinidis, Nikolaos V. 17 Sherali, Hanif D. 12 Liberti, Leo 11 Tawarmalani, Mohit 10 Li, Duan 10 Neumaier, Arnold 9 Júdice, Joaquim João 8 Barton, Paul I. 8 Grossmann, Ignacio E. 8 Khajavirad, Aida 8 Mitsos, Alexander 7 Domes, Ferenc 7 Locatelli, Marco 6 Burer, Samuel 6 Desai, Jitamitra 6 Kallrath, Josef 6 Lee, Jon 6 Linderoth, Jeff T. 6 Westerlund, Tapio 5 D’Ambrosio, Claudia 5 Fernandes, Luis M. 5 Floudas, Christodoulos Achilleus 5 Kearfott, Baker 5 Schichl, Hermann 4 Anstreicher, Kurt M. 4 Castro, Pedro M. 4 Dalkiran, Evrim 4 Duarte, Belmiro P. M. 4 Elloumi, Sourour 4 Gottlieb, Sigal 4 Lambert, Amélie 4 Leyffer, Sven 4 Lodi, Andrea 4 Luedtke, James R. 4 Lundell, Andreas 4 Nohra, Carlos J. 4 Rebennack, Steffen 4 Schmidt, Martin 3 Ahmed, Shabbir 3 Belotti, Pietro 3 Bienstock, Daniel 3 Birgin, Ernesto G. 3 Cafieri, Sonia 3 Del Pia, Alberto 3 Drud, Arne Stolbjerg 3 Gleixner, Ambros M. 3 Ketcheson, David I. 3 Khan, Kamil A. 3 Kronqvist, Jan 3 Lunday, Brian J. 3 Martínez, José Mario 3 Meeraus, Alexander 3 Nagarajan, Harsha 3 Newman, Alexandra M. 3 Pardalos, Panos M. 3 Schewe, Lars 3 Shen, Peiping 3 Sun, Xiaoling 3 Sundar, Kaarthik 3 Tsoukalas, Angelos 3 Vandenbussche, Dieter 3 Wiegele, Angelika 3 Xia, Yong 3 Zheng, Xiaojin 3 Zhu, Shushang 3 Zuluaga, Luis Fernando 2 Ahmadi, Amir Ali 2 Alfaki, Mohammed 2 Ali, Montaz M. 2 Amaral, Paula Alexandra 2 Andrade, Tiago 2 Antunes, António Pais 2 Aouam, Tarik 2 Araya, Ignacio J. 2 Bao, Xiaowei 2 Bent, Russell W. 2 Berthold, Timo 2 Billionnet, Alain 2 Boland, Natashia L. 2 Bomze, Immanuel M. 2 Bongartz, Dominik 2 Brás, Carmo P. 2 Buchheim, Christoph 2 Bussieck, Michael R. 2 Caprara, Alberto 2 Chabert, Gilles 2 Chen, Yixin 2 Chung, Kwanghun 2 Coniglio, Stefano 2 Costa, Alberto L. C. 2 de Klerk, Etienne 2 Deng, Zhibin 2 Eberhard, Andrew C. 2 Escobar, Mauro 2 Fang, Shu-Cherng 2 Fügenschuh, Armin R. 2 Fukushima, Masao 2 Füllner, Christian 2 Ganesan, Vikram 2 Gentile, Claudio ...and 511 more Authors all top 5 Cited in 66 Serials 95 Journal of Global Optimization 38 Mathematical Programming. Series A. Series B 20 European Journal of Operational Research 18 Computers & Operations Research 18 Optimization Methods & Software 18 Optimization and Engineering 14 Computational Optimization and Applications 14 Mathematical Programming Computation 12 Annals of Operations Research 9 Optimization Letters 8 INFORMS Journal on Computing 7 Journal of Optimization Theory and Applications 7 SIAM Journal on Optimization 5 Top 4 Applied Mathematics and Computation 3 Artificial Intelligence 3 Discrete Applied Mathematics 3 Automatica 3 Operations Research 3 Journal of Scientific Computing 2 ACM Transactions on Mathematical Software 2 Management Science 2 Mathematics of Operations Research 2 Optimization 2 Constraints 2 Mathematical Problems in Engineering 2 Journal of Combinatorial Optimization 2 4OR 2 EURO Journal on Computational Optimization 1 International Journal of Control 1 Mathematics of Computation 1 BIT 1 Computing 1 Fuzzy Sets and Systems 1 Journal of Computational and Applied Mathematics 1 Opsearch 1 SIAM Journal on Control and Optimization 1 Operations Research Letters 1 Applied Numerical Mathematics 1 Algorithmica 1 International Journal of Computer Mathematics 1 Journal of Statistical Computation and Simulation 1 Computational Statistics and Data Analysis 1 Formal Methods in System Design 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Reliable Computing 1 Mathematical Methods of Operations Research 1 Journal of Inequalities and Applications 1 CEJOR. Central European Journal of Operations Research 1 Journal of Nonlinear and Convex Analysis 1 Acta Numerica 1 ISNM. International Series of Numerical Mathematics 1 Lecture Notes in Computer Science 1 Nonconvex Optimization and Its Applications 1 Applied Optimization 1 International Series in Operations Research & Management Science 1 Mathematics in Computer Science 1 Computational & Mathematical Methods in Medicine 1 The Journal of Computational Finance 1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 1 MOS/SIAM Series on Optimization 1 Operations Research and Decisions 1 Statistics and Computing 1 Numerical Algebra, Control and Optimization 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 24 Fields 357 Operations research, mathematical programming (90-XX) 56 Numerical analysis (65-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Computer science (68-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 9 Systems theory; control (93-XX) 8 Statistics (62-XX) 5 Real functions (26-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Partial differential equations (35-XX) 2 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Fluid mechanics (76-XX) Citations by Year