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: CPLEX; GAMS; SCIP; ANTIGONE; LINDO; Ipopt; Couenne; Bonmin; MINLPLib; Gurobi; LINDOGlobal; GloMIQO; AMPL; CONOPT; SNOPT; Matlab; SeDuMi; MINOS; INTOPT_90; MINLP Cited in: 401 Documents 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 676 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 Kallrath, Josef 7 Locatelli, Marco 6 Burer, Samuel 6 Desai, Jitamitra 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 Leyffer, Sven 5 Schichl, Hermann 5 Schmidt, Martin 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 Lodi, Andrea 4 Luedtke, James R. 4 Lundell, Andreas 4 Nohra, Carlos J. 4 Rebennack, Steffen 4 Shen, Peiping 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 Stuber, Matthew D. 3 Sun, Xiaoling 3 Sundar, Kaarthik 3 Tsoukalas, Angelos 3 Vandenbussche, Dieter 3 Wiegele, Angelika 3 Wilhelm, Matthew E. 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 Conejo, Antonio J. 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 ...and 576 more Authors all top 5 Cited in 73 Serials 99 Journal of Global Optimization 40 Mathematical Programming. Series A. Series B 20 European Journal of Operational Research 20 Optimization Methods & Software 20 Optimization and Engineering 18 Computers & Operations Research 15 Computational Optimization and Applications 14 Mathematical Programming Computation 12 Annals of Operations Research 10 Optimization Letters 8 Journal of Optimization Theory and Applications 8 INFORMS Journal on Computing 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 Journal of Computational and Applied Mathematics 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 2 SIAM Journal on Applied Algebra and Geometry 1 International Journal of Control 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 The Annals of Statistics 1 BIT 1 Computing 1 Fuzzy Sets and Systems 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 Cybernetics and Systems Analysis 1 Formal Methods in System Design 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Fractals 1 Reliable Computing 1 International Transactions in Operational Research 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 Journal of Industrial and Management Optimization 1 Engineering Optimization 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 all top 5 Cited in 25 Fields 379 Operations research, mathematical programming (90-XX) 59 Numerical analysis (65-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Computer science (68-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 9 Statistics (62-XX) 9 Systems theory; control (93-XX) 5 Real functions (26-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Partial differential equations (35-XX) 3 Probability theory and stochastic processes (60-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Fluid mechanics (76-XX) Citations by Year