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Package: lp-solve (5.5.2.14-4.1 and others)

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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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Download lp-solve

Download for all available architectures
Architecture Version Package Size Installed Size Files
alpha (unofficial port) 5.5.2.14-4.1+b1 281.6 kB825.0 kB [list of files]
amd64 5.5.2.14-4.1+b1 295.5 kB716.0 kB [list of files]
arm64 5.5.2.14-4.1+b2 271.9 kB760.0 kB [list of files]
armhf 5.5.2.14-4.1+b1 245.4 kB501.0 kB [list of files]
hppa (unofficial port) 5.5.2.14-4.1+b1 292.5 kB749.0 kB [list of files]
i386 5.5.2.14-4.1+b1 310.5 kB776.0 kB [list of files]
ia64 (unofficial port) 5.5.2.5-2+b2 362.1 kB1,355.0 kB [list of files]
loong64 5.5.2.14-4.1+b1 294.1 kB823.0 kB [list of files]
m68k (unofficial port) 5.5.2.14-4.1 239.9 kB576.0 kB [list of files]
ppc64 (unofficial port) 5.5.2.14-4.1+b1 313.9 kB954.0 kB [list of files]
ppc64el 5.5.2.14-4.1+b1 332.1 kB952.0 kB [list of files]
riscv64 5.5.2.14-4.1+b1 302.9 kB588.0 kB [list of files]
s390x 5.5.2.14-4.1+b1 304.6 kB763.0 kB [list of files]
sh4 (unofficial port) 5.5.2.14-4.1+b1 318.3 kB629.0 kB [list of files]
sparc64 (unofficial port) 5.5.2.14-4.1+b1 249.9 kB2,111.0 kB [list of files]
x32 (unofficial port) 5.5.2.14-4.1+b1 289.7 kB685.0 kB [list of files]