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JuMP

swMATH ID: 16108
Software Authors: I. Dunning, J. Huchette, M. Lubin
Description: JuMP: A Modeling Language for Mathematical Optimization. JuMP is an open-source modeling language that allows users to express a wide range of optimization problems (linear, mixed-integer, quadratic, conic-quadratic, semidefinite, and nonlinear) in a high-level, algebraic syntax. JuMP takes advantage of advanced features of the Julia programming language to offer unique functionality while achieving performance on par with commercial modeling tools for standard tasks. In this work we will provide benchmarks, present the novel aspects of the implementation, and discuss how JuMP can be extended to new problem classes and composed with state-of-the-art tools for visualization and interactivity.
Homepage: https://github.com/JuliaOpt/JuMP.jl
Source Code: https://github.com/JuliaOpt/JuMP.jl
Keywords: Modeling Language; Mathematical Optimization; Julia programming language; Julia
Related Software: Julia; Gurobi; GitHub; Ipopt; CPLEX; Mosek; SCIP; Pyomo; MathOptInterface.jl; AMPL; YALMIP; SDDP; CVXPY; GAMS; Bonmin; SCS; BARON; CVX; LightGraphs.jl; GLPK
Cited in: 143 Publications
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Cited by 329 Authors

10 Bertsimas, Dimitris John
6 Lubin, Miles
5 Magron, Victor
5 Poss, Michael
5 Sadykov, Ruslan
5 Vielma, Juan Pablo
4 Dowson, Oscar
4 Huchette, Joey
4 Kapelevich, Lea
4 Legat, Benoît
4 Morton, David P.
4 Uchoa, Eduardo
4 Wang, Jie
3 Bent, Russell W.
3 Dunning, Iain
3 Goldberg, Noam
3 Jungers, Raphaël M.
3 Kaluba, Marek
3 Kwon, Roy H.
3 Lasserre, Jean-Bernard
3 Leyffer, Sven
3 Nagarajan, Harsha
3 Nowak, Piotr W.
3 Pauphilet, Jean
3 Pessoa, Artur Alves
3 Valladão, Davi Michel
3 Yang, Haoxiang
2 Anitescu, Mihai
2 Berk, Lauren
2 Bezerra, Eduardo Augusto
2 Bonafini, Mauro
2 Camponogara, Eduardo
2 Carpentier, Pierre
2 Chancelier, Jean-Philippe
2 Coey, Chris
2 Cory-Wright, Ryan
2 Costa, Giorgio
2 de Kok, Ton G.
2 Dellaert, Nico P.
2 Dvijotham, Krishnamurthy
2 Garcia, Joaquim Dias
2 Goulart, Paul J.
2 Grossmann, Ignacio E.
2 Hesaraki, Alireza F.
2 Kronqvist, Jan
2 Leclère, Vincent
2 Lodi, Andrea
2 Lundell, Andreas
2 Misra, Sidhant
2 Morsch Filho, Edemar
2 Oudet, Edouard
2 Pacaud, François
2 Rebennack, Steffen
2 Rigo, Cezar Antônio
2 Roald, Line A.
2 Ruthotto, Lars
2 Seman, Laio Oriel
2 Sundar, Kaarthik
2 Van Parys, Bart P. G.
2 Vanderbeck, François
2 Wang, Site
2 Zavala, Victor M.
1 Abgrall, Rémi
1 Aboutaleb, Youssef M.
1 Acuña-Zegarra, Manuel Adrian
1 Adam, Lukáš
1 Ahmed, Shabbir
1 Ales, Zacharie
1 Aliano Filho, Angelo
1 Allman, Andrew
1 Andersson, Joel A. E.
1 Anis, Hassan T.
1 Anjos, Miguel F.
1 Araújo, Olinto
1 Arslan, Ayşe N.
1 Baca-Carrasco, David
1 Badal, Rufat
1 Ball, Michael O.
1 Bandi, Chaithanya
1 Banjac, Goran
1 Bareilles, Gilles
1 Barnhart, Cynthia
1 Bates, Johnny
1 Beach, Benjamin
1 Becker, Henrique
1 Beisheim, Benedikt
1 Bemporad, Alberto
1 Ben-Akiva, Moshe Emanuel
1 Benham, Graham P.
1 Berger, Mathias
1 Bernal, David E.
1 Besançon, Mathieu
1 Bezerra, Bernardo Vieira
1 Biel, Martin
1 Bird, P. A. D.
1 Boyd, Stephen Poythress
1 Brooks, Philip
1 Buriol, Luciana S.
1 Cambier, Adrien
1 Cannon, Mark
...and 229 more Authors
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Cited in 50 Serials

16 INFORMS Journal on Computing
15 European Journal of Operational Research
9 Mathematical Programming. Series A. Series B
9 SIAM Journal on Optimization
9 Mathematical Programming Computation
7 Computers & Operations Research
6 Operations Research Letters
6 Journal of Global Optimization
5 Computational Optimization and Applications
4 Operations Research
4 Optimization Letters
3 Journal of Optimization Theory and Applications
3 Top
3 Optimization Methods & Software
3 Optimization and Engineering
2 Annals of Operations Research
2 Interfaces and Free Boundaries
2 Nonlinear Analysis. Hybrid Systems
1 Inverse Problems
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Mathematical Biosciences
1 Automatica
1 Mathematische Annalen
1 SIAM Journal on Control and Optimization
1 Theoretical Computer Science
1 Optimization
1 Statistical Science
1 SIAM Journal on Discrete Mathematics
1 Queueing Systems
1 Machine Learning
1 Linear Algebra and its Applications
1 SIAM Review
1 Applied and Computational Harmonic Analysis
1 Constraints
1 Chaos
1 The Econometrics Journal
1 Annals of Mathematics. Second Series
1 CEJOR. Central European Journal of Operations Research
1 Quantitative Finance
1 Journal of Machine Learning Research (JMLR)
1 OR Spectrum
1 Computational Management Science
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Groups, Complexity, Cryptology
1 Journal of Computational and Graphical Statistics
1 EURO Journal on Computational Optimization
1 Geometric Flows
1 SN Operations Research Forum
1 OJMO. Open Journal of Mathematical Optimization

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