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HOPDM
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.
http://www.maths.ed.ac.uk/~gondzio/software/hopdm.html
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AMPL
Modeling language and system for formulating, solving and analyzing large-scale optimization (mathematical programming) problems.
http://www.ampl.com
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GAMS
The General Algebraic Modeling System (GAMS) is a high-level modeling system for mathematical programming problems.
http://www.gams.com
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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
http://www.zib.de/koch/zimpl/
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MINTO
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 const
http://coral.ie.lehigh.edu/~minto/index.html
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SCIP
Solving Constraint Integer Programs. SCIP is implemented as C callable library and provides C++ wrapper classes for user plugins.
http://scip.zib.de/
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OPBDP
A Davis-Putnam Based Enumeration Algorithm for Linear Pseudo-Boolean Optimization
http://www.mpi-inf.mpg.de/departments/d2/software/opbdp
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CBC
The COIN Branch and Cut solver is an open-source mixed-integer program (MIP) solver written in C++.
http://www.coin-or.org/Cbc
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Discrete Optimization Methods
Archive of Pascal procedures from the 1983 text "Discrete Optimization Algorithms with Pascal Programs" by Maciej M. Syslo, Narsingh Deo, and Janusz S. Kowalik.
http://www.cs.sunysb.edu/~algorith/implement/syslo/implement.shtml
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AIMMS
Advanced modeling environment for building optimization-based decision support applications and advanced planning systems.
http://www.aimms.com/
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