GLPK
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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: https://www.gnu.org/software/glpk/