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Linear Programming & Optimization

  ( 38 )
A linear program tries to identify an optimum (i.e., minimum or maximum) point of a linear function , which furthermore satisfies a set of linear constraints. Linear programming is an optimization tool, which allows the rationalization of many managerial and/or technological decisions required by various real-world applications.


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1. GAMS - The General Algebraic Modeling System (GAMS) is a high-level modeling system for mathematical programming problems.
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2. GIPALS: Linear Programming Tool - Linear programming software for industrial size constrained optimization based on Interior-Point method.
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3. GLPK (GNU Linear Programming Kit) - 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.
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4. Linear Programs Solvers - A free software package that solves linear programming models by the simplex and/or the push-and-pull methods.
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5. LLamasoft - Modeling software that combines simulation and optimization together in one program, from the creator of Supply Chain Guru.
6. ABACUS - A Branch-And-CUt System - 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).
7. ABSSP: Subset Sum Problem - Computational time for solving subset sum problem with algorithm ABSSP by Andrea Bianchini.
8. AIMMS - Advanced modeling environment for building optimization-based decision support applications and advanced planning systems.
9. AMPL - Modeling language and system for formulating, solving and analyzing large-scale optimization (mathematical programming) problems.
10. CBC - The COIN Branch and Cut solver is an open-source mixed-integer program (MIP) solver written in C++.
11. Center for Advanced Modeling and Optimization - Site includes information about modeling and optimization systems, modeling languages for mathematical programming, linear and nonlinear programming packages, and other optimization software.
12. CPLEX- Large-Scale Programming Software for Optimization. - The CPLEX division of ILOG provides large-scale mathematical programming software and services for resource optimization.
13. Dash Optimization - Offers a software suite for modeling and optimization. Site includes information about product components, overview of services, and a client area.
14. Decision Tree for Optimization Software - Guide to find software for optimization problems and related links.
15. 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.
16. Easyworm Soft Inc. - Offers linear and non-linear programming software for Windows 9x/NT/2000. Shareware and freeware.
17. Esteco - Multidisciplinary design optimization software.
18. Eudoxus Systems - Using optimization to solve business problems. Includes lecture notes and case studies on the practical application of linear programming and optimization.
19. Global (and Local) Optimization - An archive of online information on global optimization.
20. 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.
21. ILOG Optimization Suite - Optimization algorithms, resource allocation, resource optimization, tools to improve decision-making.
22. LINDO Optimization Modeling Tools - Software for linear, integer and nonlinear optimization. LINDO supplies large scale solvers with links to Excel and database applications.
23. Linear Programming - Survey of modern software for linear programming (by R.Fourer, 2005).
24. LogMIP - (Logical Mixed Integer Programming) is a solver for generalized disjunctive programs (GDP).
25. 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 constraint generation.
26. MOSEK Optimization Tools - Software for solution of linear and nonlinear convex programming problems.
27. Nonlinear Optimization - Nonlinear finite and infinite dimensional optimization, identification, methods and demo software by Prof. V. K. Tolstykh, Donetsk National University.
28. Nonlinear programming software survey - By Stephen G. Nash, 1998
29. Online 2-Dimensional Optimization - An online computer program designed to calculate the optimal way of cutting 2d sheets.
30. OPBDP - A Davis-Putnam Based Enumeration Algorithm for Linear Pseudo-Boolean Optimization
31. Optimization Frequently Asked Questions - Linear and non-linear programming FAQs.
32. Pseudo-Boolean Benchmarks with Hidden Optimum Solutions - Benchmarks in opb format. Includes a description of how they were generated.
33. SCIP - Solving Constraint Integer Programs. SCIP is implemented as C callable library and provides C++ wrapper classes for user plugins.
34. 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.
35. SoPlex - Sequential object-oriented simplex class library, free to download for research purposes for members of non-commercial and academic institutions.
36. SYMPHONY - Mixed-integer linear programming Solver Framework. By default, SYMPHONY reads both the MPS file format (through the COIN-OR MPS reader) and AMPL files (through the GLPK parser). The SYMPHONY source code is available under the Common Public License.
37. TOMLAB - Matlab Optimization - For fast and robust large-scale optimization in Matlab with interfaces to CPLEX, Xpress, MINOS, SNOPT and support for problems formulated in AMPL.
38. 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.

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