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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 Version Package Size Installed Size Files
amd64 275.8 kB662.0 kB [list of files]
arm64 228.3 kB569.0 kB [list of files]
armel 242.0 kB616.0 kB [list of files]
armhf 228.6 kB434.0 kB [list of files]
i386 293.8 kB736.0 kB [list of files]
mips 255.9 kB698.0 kB [list of files]
mips64el 259.0 kB724.0 kB [list of files]
mipsel 259.8 kB698.0 kB [list of files]
ppc64el 254.4 kB750.0 kB [list of files]
s390x 262.2 kB732.0 kB [list of files]