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The GLPK (GNU Linear Programming Kit) 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 modeling language, which is a subset of the AMPL language.

The GLPK package includes the following main components:

   primal and dual simplex methods
   primal-dual interior-point method
   branch-and-cut method
   translator for GNU MathProg
   application program interface (API)
   stand-alone LP/MIP solver 

Link to website:

  • Up to date information about the software in this list, which is mostly free to use, can be obtained from this link