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[ Source: lp-solve  ]

Package: lp-solve (5.5.0.13-7)

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

Other Packages Related to lp-solve

 depends recommends suggests enhances
• dep: libc0.1 (>= 2.7) [kfreebsd-amd64, kfreebsd-i386]
Embedded GNU C Library: Shared libraries
also a virtual package provided by libc0.1-udeb
• dep: libc6 (>= 2.13) [s390x]
Embedded GNU C Library: Shared libraries
also a virtual package provided by libc6-udeb
dep: libc6 (>= 2.7) [not ia64, kfreebsd-amd64, kfreebsd-i386, s390x]
• dep: libc6.1 (>= 2.7) [ia64]
Embedded GNU C Library: Shared libraries
also a virtual package provided by libc6.1-udeb
• dep: libcolamd2.7.1 (>= 1:3.4.0)
column approximate minimum degree ordering library for sparse matrices
• dep: libgcc1 (>= 1:4.4.0) [armel, armhf]
GCC support library

Architecture Package Size Installed Size Files
amd64 312.8 kB692.0 kB [list of files]
armel 313.9 kB656.0 kB [list of files]
armhf 263.8 kB458.0 kB [list of files]
i386 295.8 kB640.0 kB [list of files]
ia64 455.8 kB1,276.0 kB [list of files]
kfreebsd-amd64 312.9 kB688.0 kB [list of files]
kfreebsd-i386 295.7 kB638.0 kB [list of files]
mips 325.0 kB800.0 kB [list of files]
mipsel 325.7 kB800.0 kB [list of files]
powerpc 318.1 kB708.0 kB [list of files]
s390 316.2 kB676.0 kB [list of files]
s390x 329.2 kB750.0 kB [list of files]
sparc 297.7 kB664.0 kB [list of files]