AMPL swMATH ID: 4001 Software Authors: Fourer, R., Gay, D.M., Kernighan, B.W. Description: AMPL is a comprehensive and powerful algebraic modeling language for linear and nonlinear optimization problems, in discrete or continuous variables. Developed at Bell Laboratories, AMPL lets you use common notation and familiar concepts to formulate optimization models and examine solutions, while the computer manages communication with an appropriate solver. AMPL’s flexibility and convenience render it ideal for rapid prototyping and model development, while its speed and control options make it an especially efficient choice for repeated production runs. Homepage: http://www.ampl.com/solvers.html Keywords: algebraic modeling language; optimization; no software Related Software: CPLEX; Ipopt; GAMS; SNOPT; MINOS; Matlab; LINDO; KNITRO; AIMMS; Gurobi; LOQO; NEOS; CUTEr; BARON; SCIP; Bonmin; LANCELOT; LINGO; CONOPT; MINLPLib Cited in: 627 Documents Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year More AD of nonlinear AMPL models: Computing Hessian information and exploiting partial separability. Zbl 0866.65018Gay, David M. 1996 Automatic differentiation of nonlinear AMPL models. Zbl 0782.65026Gay, David 1991 all top 5 Cited by 1,071 Authors 25 Liberti, Leo 22 Maurer, Helmut 16 Newman, Alexandra M. 15 Fourer, Robert 14 Leyffer, Sven 12 Gay, David M. 12 Kaya, C. Yalçin 11 Neumaier, Arnold 11 Trélat, Emmanuel 10 Munson, Todd S. 9 D’Ambrosio, Claudia 9 Fernandes, Edite M. G. P. 9 Monteiro, M. Teresa T. 8 Vaz, A. Ismael F. 7 Cafieri, Sonia 7 Ferris, Michael C. 7 Mitra, Gautam 7 Sloane, Neil James Alexander 7 Van Hentenryck, Pascal 6 Chinneck, John W. 6 Gassmann, Horand I. 6 Kallio, Markku 6 Torres, Delfim Fernando Marado 5 Burachik, Regina Sandra 5 Castro, Jordi 5 Drezner, Zvi 5 Orban, Dominique 5 Privat, Yannick 5 Roman, Diana 5 Schichl, Hermann 5 Silva, Cristiana J. 5 Watson, Jean-Paul 5 Woodruff, David L. 5 Zuazua, Enrique 4 Anitescu, Mihai 4 Benson, Hande Y. 4 Billionnet, Alain 4 Birgin, Ernesto G. 4 Bisschop, J. J. 4 Curtis, Frank E. 4 Floudas, Christodoulos Achilleus 4 Gomes, M. Paula S. F. 4 Larsson, Torbjörn 4 Lavor, Carlile Campos 4 Lee, Jon 4 Linderoth, Jeff T. 4 Lodi, Andrea 4 Lubin, Miles 4 Maculan, Nelson F. 4 Martin, Richard Kipp 4 Misener, Ruth 4 Mittelmann, Hans Detlef 4 Noyan, Nilay 4 Omheni, Riadh 4 Pang, Jong-Shi 4 Rangel, Socorro 4 Rodrigues, Helena Sofia 4 Ronnqvist, Mikael 4 Sager, Sebastian 4 Semmler, Willi 4 Shanno, David F. 4 Vanderbei, Robert Joseph 4 Vinkó, Tamás 4 Wächter, Andreas 3 Armand, Paul 3 Belmonte-Beitia, Juan 3 Belotti, Pietro 3 Biegler, Lorenz T. 3 Boland, Natashia L. 3 Braun, Robert J. 3 Cadoli, Marco 3 Camponogara, Eduardo 3 Carrizosa, Emilio 3 Chen, Xiaojun 3 De Farias, Ismael Regis jun. 3 Domes, Ferenc 3 Fábián, Csaba I. 3 Fleten, Stein-Erik 3 Goux, Jean-Pierre 3 Grothey, Andreas 3 Halme, Merja 3 Hart, William E. 3 Hijazi, Hassan 3 Holmström, Kenneth 3 Hooker, John N. jun. 3 Judd, Kenneth L. 3 Kirches, Christian 3 Kuip, C. A. C. 3 Lejeune, Miguel A. 3 Litvinchev, Igor S. 3 Ma, Jun 3 Mancini, Toni 3 Martínez, José Mario 3 Michel, Laurent 3 Mijangos, Eugenio 3 Morabito, Reinaldo 3 Murphy, Frederic H. 3 Pesch, Hans Josef 3 Romero Morales, Dolores 3 Rosa, Charles H. ...and 971 more Authors all top 5 Cited in 155 Serials 68 European Journal of Operational Research 38 Annals of Operations Research 28 Computers & Operations Research 23 Optimization Methods & Software 21 Mathematical Programming. Series A. 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Mathematical Models & Methods in Applied Sciences 2 Applied Mathematical Modelling 2 Journal of Computer and Systems Sciences International 2 Journal of Combinatorial Designs 2 Annals of Mathematics and Artificial Intelligence 2 Discrete and Continuous Dynamical Systems 2 Journal of Scheduling 2 RAIRO. Operations Research 2 Journal of Machine Learning Research (JMLR) 2 JMMA. Journal of Mathematical Modelling and Algorithms 2 Applied Optimization 2 International Series in Operations Research & Management Science 2 Discrete and Continuous Dynamical Systems. Series S 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Mathematical Biosciences 1 Physics Letters. A 1 Psychometrika 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Optimization 1 Automatica 1 Biometrical Journal 1 Journal of Differential Equations 1 Journal of the Operational Research Society 1 Journal of Statistical Planning and Inference 1 Naval Research Logistics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 1 Theoretical Computer Science 1 OR Spektrum 1 Journal of Time Series Analysis 1 Mathematics in Practice and Theory 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Computer Science and Technology 1 International Journal of Approximate Reasoning 1 Asia-Pacific Journal of Operational Research 1 Economics Letters 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Computational Geometry & Applications 1 Computational Geometry 1 ORSA Journal on Computing ...and 55 more Serials all top 5 Cited in 36 Fields 504 Operations research, mathematical programming (90-XX) 95 Numerical analysis (65-XX) 93 Computer science (68-XX) 89 Calculus of variations and optimal control; optimization (49-XX) 59 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 36 Biology and other natural sciences (92-XX) 24 Systems theory; control (93-XX) 15 Statistics (62-XX) 12 Combinatorics (05-XX) 12 Ordinary differential equations (34-XX) 9 Partial differential equations (35-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 General and overarching topics; collections (00-XX) 5 Probability theory and stochastic processes (60-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Information and communication theory, circuits (94-XX) 3 Algebraic geometry (14-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year