GLPK swMATH ID: 4560 Software Authors: Andrew Makhorin Description: The GLPK (GNU Linear Programming Kit) package is intended for solving large-scale linear programming (LP), mixed integer programming (MIP), and other related problems. It is a set of routines written in ANSI C and organized in the form of a callable library. GLPK supports the GNU MathProg modeling language, which is a subset of the AMPL language. The GLPK package includes the following main components: primal and dual simplex methods, primal-dual interior-point method, branch-and-cut method, translator for GNU MathProg, application program interface (API), stand-alone LP/MIP solver Homepage: http://www.gnu.org/software/glpk/glpk.html Keywords: Linear Programming; LP Related Software: CPLEX; Gurobi; AMPL; XPRESS; YALMIP; Mosek; COIN-OR; SCIP; MIPLIB; Julia; Ipopt; Matlab; GitHub; Cbc; z3; SageMath; JuMP; GAMS; MIPLIB2003; CVX Cited in: 182 Publications all top 5 Cited by 442 Authors 6 Bemporad, Alberto 3 Chinneck, John W. 3 Daney, David 3 De Tommasi, Gianmaria 3 Hales, Thomas Callister 3 Hladík, Milan 3 Mahulea, Cristian 3 Nieuwenhuis, Robert 3 Oliveras, Albert 3 Rodríguez-Carbonell, Enric 3 Szederkényi, Gábor 3 Tsigaridas, Elias P. 2 Achterberg, Tobias 2 Álamo, Teodoro 2 Basile, Francesco 2 Bouzid, Mouaouia Cherif 2 Camacho, Eduardo Fernández 2 Csirmaz, László 2 Delanoue, Nicolas 2 Gardi, Frédéric 2 Hangos, Katalin Mária 2 Hartke, Stephen G. 2 Henzinger, Thomas A. 2 Johnston, Matthew D. 2 Kirst, Peter 2 Kloetzer, Marius 2 Lancia, Giuseppe G. 2 Larrosa, Javier 2 Leung, Joseph Y.-T. 2 Lhommeau, Mehdi 2 Li, Haibing 2 Maculan, Nelson F. 2 Markström, Klas 2 Martin, Richard Kipp 2 Motta, Carlo 2 Muñoz de la Peña, David 2 Pinedo, Michael L. 2 Rhin, Georges 2 Rossi, André 2 Rudan, János 2 Sac-Epee, Jean-Marc 2 Serafini, Paolo 2 Sevaux, Marc 2 Simon, Axel 2 Solovyev, Alexey 2 Stein, Oliver 2 Umetani, Shunji 2 Vidali, Janoš 2 Zhang, Li 2 Zhou, Weida 1 Adams, Mark 1 Aiken, Alex 1 Alamir, Mazen 1 Almutairi, Hossa 1 Altmanová, Kateřina 1 Ang, Andrew 1 Anjos, Miguel F. 1 Ansótegui, Carlos 1 Baena, Daniel 1 Balakrishnan, Gogul 1 Bar-On, Achiya 1 Bar, Pavel 1 Bauer, Gertrud 1 Baz, Mustafa 1 Beisheim, Benedikt 1 Bentobache, Mohand 1 Berrone, Stefano 1 Bertsimas, Dimitris John 1 Betzler, Nadja 1 Beullens, Patrick 1 Bibi, Mohand Ouamer 1 Biel, Martin 1 Birgin, Ernesto G. 1 Blokhin, Ye. A. 1 Boccia, Maurizio 1 Boddiford, Ashley N. 1 Bofill, Miquel 1 Bogomolov, Sergiy 1 Bojarski, Jacek 1 Bondarenko, V. A. 1 Booker, Andrew R. 1 Borrajo, Daniel 1 Bowlin, Garry S. 1 Boyd, Stephen Poythress 1 Brossier, Romain 1 Bunnik, Evelien M. 1 Burnaev, Evgeny 1 Byrne, Eimear 1 Calegari, Danny Matthew Cornelius 1 Carmeli, David 1 Castro, Jordi 1 Cerquides, Jesús 1 Cervantes, Víctor H. 1 Chai, Song 1 Chan, Aaron C. S. 1 Charkhgard, Hadi 1 Chatterjee, Krishnendu 1 Chen, Hua 1 Chen, Liqian 1 Chen, Qian Matteo ...and 342 more Authors all top 5 Cited in 92 Serials 10 Computers & Operations Research 5 European Journal of Operational Research 5 Mathematical Programming Computation 4 IEEE Transactions on Automatic Control 4 Annals of Operations Research 4 Journal of Global Optimization 4 Discrete Event Dynamic Systems 4 Computational Optimization and Applications 4 INFORMS Journal on Computing 3 Discrete Applied Mathematics 3 Journal of Computational and Applied Mathematics 3 Systems & Control Letters 3 Journal of Parallel and Distributed Computing 3 Journal of Mathematical Chemistry 3 Journal of Combinatorial Optimization 3 Computational Management Science 2 Computers & Mathematics with Applications 2 ACM Transactions on Mathematical Software 2 Automatica 2 Computing 2 Duke Mathematical Journal 2 Fuzzy Sets and Systems 2 Theoretical Computer Science 2 Operations Research Letters 2 Designs, Codes and Cryptography 2 The Australasian Journal of Combinatorics 2 The Electronic Journal of Combinatorics 2 International Transactions in Operational Research 2 Mathematical Problems in Engineering 2 Optimization and Engineering 2 RAIRO. Operations Research 2 Journal of Machine Learning Research (JMLR) 2 Nonlinear Analysis. Hybrid Systems 1 Computer Methods in Applied Mechanics and Engineering 1 Discrete Mathematics 1 International Journal of Control 1 Inverse Problems 1 Information Processing Letters 1 Journal of Mathematical Biology 1 Moscow University Physics Bulletin 1 Applied Mathematics and Computation 1 Journal of Geometry 1 Journal of Mathematical Psychology 1 Journal of Number Theory 1 Journal of the Operations Research Society of Japan 1 Journal of Optimization Theory and Applications 1 Statistica Neerlandica 1 European Journal of Combinatorics 1 Computer Aided Geometric Design 1 Optimization 1 Statistical Science 1 Journal of Automated Reasoning 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Formal Aspects of Computing 1 Neural Networks 1 Real-Time Systems 1 Numerical Algorithms 1 Computational Statistics 1 Automation and Remote Control 1 Pattern Recognition 1 Mathematical Programming. Series A. Series B 1 International Journal of Robust and Nonlinear Control 1 Cybernetics and Systems Analysis 1 Computational Economics 1 Formal Methods in System Design 1 Journal de Théorie des Nombres de Bordeaux 1 Finite Fields and their Applications 1 Top 1 Journal of Combinatorial Designs 1 Journal of Heuristics 1 Séminaire Lotharingien de Combinatoire 1 European Journal of Control 1 Optimization Methods & Software 1 Journal of Scheduling 1 Journal of the ACM 1 Fundamenta Informaticae 1 Journal of High Energy Physics 1 Electronic Commerce Research 1 JMMA. Journal of Mathematical Modelling and Algorithms 1 Pacific Journal of Optimization 1 International Journal of Operations Research (Taichung) 1 Mathematical Modelling of Natural Phenomena 1 Ars Mathematica Contemporanea 1 Journal of Theoretical Biology 1 Forum of Mathematics, Pi 1 EURO Journal on Computational Optimization 1 Springer Optimization and Its Applications 1 Use R! 1 EURO Advanced Tutorials on Operational Research 1 Discrete Mathematics and its Applications all top 5 Cited in 27 Fields 121 Operations research, mathematical programming (90-XX) 44 Computer science (68-XX) 18 Combinatorics (05-XX) 18 Numerical analysis (65-XX) 18 Systems theory; control (93-XX) 12 Biology and other natural sciences (92-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Convex and discrete geometry (52-XX) 6 Information and communication theory, circuits (94-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 3 Quantum theory (81-XX) 2 Mathematical logic and foundations (03-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year