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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 for all available architectures
Architecture Version Package Size Installed Size Files
alpha (unofficial port) 5.5.2.14-4.1 280.1 kB824.0 kB [list of files]
amd64 5.5.2.14-4.1 312.4 kB779.0 kB [list of files]
arm64 5.5.2.14-4.1 271.9 kB759.0 kB [list of files]
armel 5.5.2.14-4.1 256.2 kB692.0 kB [list of files]
armhf 5.5.2.14-4.1 243.1 kB500.0 kB [list of files]
hppa (unofficial port) 5.5.2.14-4.1 284.5 kB736.0 kB [list of files]
i386 5.5.2.14-4.1 309.6 kB771.0 kB [list of files]
ia64 (unofficial port) 5.5.2.5-2+b2 362.1 kB1,355.0 kB [list of files]
loong64 (unofficial port) 5.5.2.14-4.1 291.2 kB758.0 kB [list of files]
m68k (unofficial port) 5.5.2.14-4.1 239.9 kB576.0 kB [list of files]
mips64el 5.5.2.14-4.1 280.7 kB763.0 kB [list of files]
ppc64 (unofficial port) 5.5.2.14-4.1 312.4 kB953.0 kB [list of files]
ppc64el 5.5.2.14-4.1 330.6 kB951.0 kB [list of files]
riscv64 5.5.2.14-4.1 301.1 kB591.0 kB [list of files]
s390x 5.5.2.14-4.1 304.3 kB762.0 kB [list of files]
sh4 (unofficial port) 5.5.2.14-4.1 314.3 kB628.0 kB [list of files]
sparc64 (unofficial port) 5.5.2.14-4.1 250.1 kB2,110.0 kB [list of files]
x32 (unofficial port) 5.5.2.14-4.1 289.2 kB684.0 kB [list of files]