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PuLP is an LP modeler written in python. PuLP can generate MPS or LP filesand call GLPK, COIN CLP/CBC, CPLEX, and GUROBI to solve linearproblems.

Project description

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PuLP is an LP modeler written in python. PuLP can generate MPS or LP files
and call GLPK[1], COIN CLP/CBC[2], CPLEX[3], and GUROBI[4] to solve linear


The easiest way to install pulp is via [PyPi](

If pip is available on your system

$pip install pulp

Otherwise follow the download instructions on the PyPi page
On Linux and OSX systems the tests must be run to make the default
solver executable.

$sudo pulptest


See the examples directory for examples.

PuLP requires Python >= 2.5.

The examples use the default solver (cbc), to use other solvers they must be available.

Documentation is found on

Use LpVariable() to create new variables. To create a variable 0 <= x <= 3

>>> x = LpVariable("x", 0, 3)

To create a variable 0 <= y <= 1

>>> y = LpVariable("y", 0, 1)

Use LpProblem() to create new problems. Create "myProblem"

>>> prob = LpProblem("myProblem", LpMinimize)

Combine variables to create expressions and constraints and add them to the

>>> prob += x + y <= 2

If you add an expression (not a constraint), it will
become the objective.

>>> prob += -4*x + y

To solve with the default included solver

>>> status = prob.solve()

To use another sovler to solve the problem.

>>> status = prob.solve(GLPK(msg = 0))

Display the status of the solution

>>> LpStatus[status]

You can get the value of the variables using value(). ex:

>>> value(x)

Exported Classes:

* LpProblem -- Container class for a Linear programming problem
* LpVariable -- Variables that are added to constraints in the LP
* LpConstraint -- A constraint of the general form

a1x1+a2x2 ...anxn (<=, =, >=) b

* LpConstraintVar -- Used to construct a column of the model in column-wise modelling

Exported Functions:

* value() -- Finds the value of a variable or expression
* lpSum() -- given a list of the form [a1*x1, a2x2, ..., anxn] will construct
a linear expression to be used as a constraint or variable
* lpDot() --given two lists of the form [a1, a2, ..., an] and
[ x1, x2, ..., xn] will construct a linear epression to be used
as a constraint or variable

Comments, bug reports, patches and suggestions are welcome.

Copyright J.S. Roy (, 2003-2005
Copyright Stuart A. Mitchell (
See the LICENSE file for copyright information.


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