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[ Source: lp-solve  ]

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Solve (mixed integer) linear programming problems

The linear programming (LP) problem can be formulated as: Solve A.x >= V1, with V2.x maximal. A is a matrix, x is a vector of (nonnegative) variables, V1 is a vector called the right hand side, and V2 is a vector specifying the objective function.

An integer linear programming (ILP) problem is an LP with the constraint that all the variables are integers. In a mixed integer linear programming (MILP) problem, some of the variables are integer and others are real.

The program lp_solve solves LP, ILP, and MILP problems. It is slightly more general than suggested above, in that every row of A (specifying one constraint) can have its own (in)equality, <=, >= or =. The result specifies values for all variables.

lp_solve uses the 'Simplex' algorithm and sparse matrix methods for pure LP problems. If one or more of the variables is declared integer, the Simplex algorithm is iterated with a branch and bound algorithm, until the desired optimal solution is found. lp_solve can read MPS format input files.

Tags: Field: Mathematics, Role: Program, Scope: Application

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Architecture Package Size Installed Size Files
amd64 286.3 kB676.0 kB [list of files]
arm64 261.3 kB648.0 kB [list of files]
armel 250.5 kB614.0 kB [list of files]
armhf 236.6 kB450.0 kB [list of files]
i386 302.0 kB749.0 kB [list of files]
mips64el 269.3 kB738.0 kB [list of files]
mipsel 270.6 kB720.0 kB [list of files]
ppc64el 304.4 kB824.0 kB [list of files]
s390x 263.9 kB704.0 kB [list of files]