Optimization Websites

Optimization Websites

Arash Mohammadzadeh

May 2009

http://www.gams.com/ - http://www.gams.com
The General Algebraic Modeling System (GAMS) is a high-level modeling system for mathematical programming problems.

GLPK (GNU Linear Programming Kit) - http://www.gnu.org/software/glpk/glpk.html
A 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 language, which is a subset of the AMPL language.

CPLEX- Large-Scale Programming Software for Optimization. - http://www.ilog.com/products/cplex/
The CPLEX division of ILOG provides large-scale mathematical programming software and services for resource optimization.

Dash Optimization - http://www.dashoptimization.com/
Offers a software suite for modeling and optimization. Information about product components, overview of services, and a client area.

http://www.ampl.com/ - http://www.ampl.com
Modeling language and system for formulating, solving and analyzing large-scale optimization (mathematical programming) problems.

LINDO Optimization Modeling Tools - http://www.lindo.com/
Software for linear, integer and nonlinear optimization. LINDO supplies large scale solvers with links to Excel and database applications.

http://www.aimms.com/ - http://www.aimms.com/
Advanced modeling environment for building optimization-based decision support applications and advanced planning systems.

ILOG Optimization Suite - http://www.ilog.com/products/optimization/
Optimization algorithms, resource allocation, resource optimization, tools to improve decision-making.

Optimization Tools for MATLAB, LabVIEW and .NET (C# C++ and more) - http://tomopt.com/
For fast and robust large-scale optimization in Matlab, LabVIEW, AMPL and .NET with packages including CPLEX, Xpress, MINOS, SNOPT.

http://www.mosek.com/ - http://www.mosek.com/
Large scale optimization software. Solves linear, quadratic, general convex and mixed integer optimization problems. Details of products, trial downloads, licensing information, and documentation.

http://scip.zib.de/ - http://scip.zib.de/
Solving Constraint Integer Programs. SCIP is implemented as C callable library and provides C++ wrapper classes for user plugins.

http://www.zib.de/koch/zimpl/ - http://www.zib.de/koch/zimpl/
A little language to translate the mathematical model of a problem into a linear or (mixed-) integer mathematical program expressed in .lp or .mps file format which can be read and (hopefully) solved by a LP or MIP solver. Zimpl is a command line program written in plain C and released under GNU GPL.

Global (and Local) Optimization - http://www.mat.univie.ac.at/~neum/glopt.html
An archive of online information on global optimization.

http://www.zib.de/Optimization/Software/Soplex/ - http://www.zib.de/Optimization/Software/Soplex/
Sequential object-oriented simplex class library, free to download for research purposes for members of non-commercial and academic institutions.

http://www.esteco.com/ - http://www.esteco.com
Multidisciplinary design optimization software.

Optimization Frequently Asked Questions - http://www-unix.mcs.anl.gov/otc/Guide/faq/
Linear and non-linear programming FAQs.

.NET OPTIMIZATION - TOMNET - http://tomopt.com/tomnet/
The TOMNET Optimization Platform provides a standardized environment for general operations research development for the Microsoft .NET Framework. Well-known optimization solvers, such as SNOPT and MINOS are fully integrated.

Decision Tree for Optimization Software - http://plato.asu.edu/guide.html
Guide to find software for optimization problems and related links.

http://www.maths.ed.ac.uk/~gondzio/software/hopdm.html - http://www.maths.ed.ac.uk/~gondzio/software/hopdm.html
Package for solving large-scale linear, convex quadratic and convex nonlinear programming problems. The code is an implementation of the infeasible primal-dual interior point method, and compares favorably with commercial LP, QP and NLP packages.

Center for Advanced Modeling and Optimization - http://www.ici.ro/camo/
Information about modeling and optimization systems, modeling languages for mathematical programming, linear and nonlinear programming packages, and other optimization software.

ABACUS - A Branch-And-CUt System - http://www.informatik.uni-koeln.de/old-ls_juenger/projects/abacus.html
ABACUS is a software system which provides a framework for the implementation of branch-and-bound algorithms using linear programming relaxations that can be complemented with the dynamic generation of cutting planes or columns (branch-and-cut, branch-and-price,branch-and-cut-and-price).

http://www.mpi-inf.mpg.de/departments/d2/software/opbdp - http://www.mpi-inf.mpg.de/departments/d2/software/opbdp
A Davis-Putnam Based Enumeration Algorithm for Linear Pseudo-Boolean Optimization

LLamasoft - http://www.llamasoft.com
Modeling software that combines simulation and optimization together in one program, from the creator of Supply Chain Guru.

Pseudo-Boolean Benchmarks with Hidden Optimum Solutions - http://www.nlsde.buaa.edu.cn/~kexu/benchmarks/pb-benchmarks.htm
Benchmarks in opb format. Includes a description of how they were generated.

http://coral.ie.lehigh.edu/~minto/index.html - http://coral.ie.lehigh.edu/~minto/index.html
Mixed INTeger Optimizer - is a software system that solves mixed-integer linear programs by a branch-and-bound algorithm with linear programming relaxations. It also provides automatic constraint classification, preprocessing, primal heuristics and constraint generation.

http://www.uni-graz.at/imawww/kuntsevich/solvopt/ - http://www.uni-graz.at/imawww/kuntsevich/solvopt/
Matlab, C, and Fortran codes to minimize nonlinear, possibly non-smooth objective functions and solve nonlinear minimization problems, taking into account constraints by the method of exact penalization.

Nonlinear programming software survey - http://www.lionhrtpub.com/orms/orms-6-98/nlpss.html
By Stephen G. Nash, 1998

Linear Programs Solvers - http://home.ubalt.edu/ntsbarsh/Research/LpSolvers.htm
A free software package that solves linear programming models by the simplex and/or the push-and-pull methods.

Discrete Optimization Methods - http://www.cs.sunysb.edu/~algorith/implement/syslo/implement.shtml
Archive of Pascal procedures from the 1983 text "Discrete Optimization Algorithms with Pascal Programs" by Maciej M. Syslo, Narsingh Deo, and Janusz S. Kowalik.

GIPALS: Linear Programming Tool - http://www.optimalon.com
Linear programming software for industrial size constrained optimization based on Interior-Point method.

Online 2-Dimensional Optimization - http://www.applicationprogram.net
An online computer program designed to calculate the optimal way of cutting 2d sheets.

SYMPHONY - http://www.coin-or.org/SYMPHONY/
Mixed-integer linear programming solver framework. By default, SYMPHONY reads both the MPS file format and AMPL files. The SYMPHONY source code is available under the Common Public License.

Eudoxus Systems - http://www.eudoxus.com
Using optimization to solve business problems. Includes lecture notes and case studies on the practical application of linear programming and optimization.

ABSSP: Subset Sum Problem - http://www.bianchiniandrea.it
Computational time for solving subset sum problem with algorithm ABSSP by Andrea Bianchini.

Linear Programming - http://www.lionhrtpub.com/orms/orms-6-05/frsurvey.html
Survey of modern software for linear programming (by R.Fourer, 2005).

Pseudo-Boolean Optimization (PBO) Web-Project - http://rutcor.rutgers.edu/~pbo/
Software, benchmarks, events, people, bibliography, quadratic optimization.

Nonlinear Optimization - http://www.donnu.edu.ua/physics/kkt/tolstykh/
Nonlinear finite and infinite dimensional optimization, identification, methods and demo software by Prof. V. K. Tolstykh, Donetsk National University.

http://www.coin-or.org/Cbc - http://www.coin-or.org/Cbc
The COIN Branch and Cut solver is an open-source mixed-integer program (MIP) solver written in C++.

For more study :

http://tutorial.math.lamar.edu/Classes/CalcI/Optimization.aspx

http://www.springer.com/math/journal

http://www.maths.unsw.edu.au/applied/research/optim.html

http://www-neos.mcs.anl.gov/

http://www.math.utah.edu/~cherk/teach/opt/course.html

http://www.codecogs.com/d-ox/maths/optimization/nelder.php

http://www.maths.bris.ac.uk/study/undergrad/current_units/unit/?id=242