Vladimir VV
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Obtaining the system of irredundant inequalities from a set of inequalities using CPLEX
4 votes

I recommend you to try very powerful utility LRS, http://cgm.cs.mcgill.ca/~avis/C/lrs.html. It is an open source application (a set of applications) to handle polyhedrals. B.t.w. one of LRS ...

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Is there a Linear Programming Library that natively supports fractions instead of floating point arithmetic?
2 votes

You can try to use solver implementing Simplex-method on the base of GMP, https://gmplib.org/, (GNU Multiple Precision Arithmetic Library). E.g. it might be SoPLex, https://soplex.zib.de, see ...

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