BARON

BARONDeveloper(s)| The Optimization Firm

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Written in| Fortran, C, C++, YACC
Operating system| Windows, Linux, macOS
Type| Mathematical Optimization, Operations Research
License| Proprietary
Website| minlp.com

BARON is a computational system for solving non-convex optimization problems to global optimality. Purely continuous, purely integer, and mixed-integer nonlinear problems can be solved by the solver. Linear programming (LP), nonlinear programming (NLP), mixed integer programming (MIP), and mixed integer nonlinear programming (MINLP) are supported. In a comparison of different solvers, BARON solved the most benchmark problems and required the least amount of time per problem.[1]

BARON is available under the AIMMS, AMPL, GAMS, JuMP, MATLAB, Pyomo, and YALMIP modeling environments on a variety of platforms. The GAMS/BARON solver is also available on the NEOS Server.[2]

The development of the BARON algorithms and software has been recognized by the 2004 INFORMS Computing Society Prize[3] and the 2006 Beale-Orchard-Hays Prize[4] for excellence in computational mathematical programming from the Mathematical Optimization Society. BARON's inventor, Nick Sahinidis,[5] was inducted into the National Academy of Engineering in October 2022 for his contributions to science and engineering.

## References

1. ↑ "A comparison of complete global optimization solvers". https://www.mat.univie.ac.at/~neum/ms/comparison.pdf.
2. ↑ "BARON on the NEOS Server". http://www.neos-server.org/neos/solvers/index.html.
3. ↑ "ICS Prize / Prizes / ICS / Community / IOL Home - INFORMS.org". October 20, 2010. http://www.informs.org/Community/ICS/Prizes/ICS-Prize.
4. ↑ "Mathematical Optimization Society". May 21, 2011. http://www.mathprog.org/?nav=boh_2006.
5. ↑ "Professor Nikolaos V. Sahinidis". February 22, 2023. http://www.nae.edu/270376/Professor-Nikolaos-V-Sahinidis.

## External links

* The Optimization Firm Homepage

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Mathematical optimization software

Data formats|

* Mathematica
* MPS
* nl
* sol

Modeling tools|

* AIMMS
* AMPL
* APMonitor
* ECLiPSe-CLP
* GEKKO
* GAMS
* GNU MathProg
* JuMP
* LINDO
* OPL
* Mathematica
* OptimJ
* PuLP
* Pyomo
* TOMLAB
* Xpress-Mosel
* ZIMPL

LP, MILP∗ solvers|

* APOPT∗
* Artelys Knitro∗
* BCP∗
* CLP
* CBC∗
* CPLEX∗
* FortMP∗
* GCG∗
* GLPK/GLPSOL∗
* Gurobi∗
* LINDO∗
* Lp_solve
* LOQO
* Mathematica
* MINOS
* MINTO∗
* MOSEK∗
* SCIP∗
* SoPlex
* SYMPHONY∗
* Xpress-Optimizer∗

QP, MIQP∗ solvers|

* APOPT∗
* Artelys Knitro∗
* CBC∗
* CLP
* CPLEX∗
* FortMP∗
* Gurobi∗
* IPOPT
* LINDO∗
* Mathematica
* MINOS
* MOSEK∗
* SCIP∗
* Xpress-Optimizer∗

QCP, MIQCP∗ solvers|

* APOPT∗
* Artelys Knitro∗
* CPLEX∗
* Gurobi∗
* IPOPT
* LINDO∗
* Mathematica
* MINOS
* MOSEK∗
* SCIP∗
* Xpress-Optimizer∗
* Xpress-SLP∗

SOCP, MISOCP∗ solvers|

* Artelys Knitro∗
* CPLEX∗
* Gurobi∗
* LINDO∗
* LOQO
* Mathematica
* MOSEK∗
* SCIP∗
* Xpress-Optimizer∗

SDP, MISDP∗ solvers|

* Mathematica
* MOSEK

NLP, MINLP∗ solvers|

* AOA∗
* APOPT∗
* Artelys Knitro∗
* BARON∗
* Couenne∗
* Galahad library
* IPOPT
* LINDO∗
* LOQO
* MIDACO∗
* MINOS
* NLPQLP
* NPSOL
* SCIP∗
* SNOPT∗
* WORHP
* Xpress-SLP∗

GO solvers|

* BARON
* Couenne∗
* Mathematica
* LINDO
* SCIP

CP solvers|

* Comet
* CPLEX CP Optimizer
* Gecode
* Mathematica
* JaCoP

Metaheuristic solvers|

* OptaPlanner

* List of optimization software
* Comparison of optimization software

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