PuLP is an linear and mixed integer programming modeler written in Python. With PuLP, it is simple to create MILP optimisation problems and solve them with the latest open-source (or proprietary) solvers. PuLP can generate MPS or LP files and call solvers such as GLPK, COIN-OR CLP/CBC, CPLEX, GUROBI, MOSEK, XPRESS, CHOCO, MIPCL, HiGHS, SCIP/FSCIP.

The documentation for PuLP can be found here.

PuLP is part of the COIN-OR project.

PuLP requires Python 3.9 or newer.

Recommended: install with CBC support:

python -m pip install pulp[cbc]

Plain python -m pip install pulp installs only the modeler; you must then supply your own CBC on PATH or another solver.

Otherwise follow the download instructions on the PyPi page.

PuLP can use a variety of solvers. When CBC is available (via pulp[cbc] or cbc on PATH), COIN_CMD is the usual open-source MIP/LP choice and is selected as the default ahead of GLPK. PuLP can also install other solvers via optional PyPI extras (some require a commercial license for running or for large models):

python -m pip install pulp[gurobi]
python -m pip install pulp[cplex]
python -m pip install pulp[xpress]
python -m pip install pulp[scip]
python -m pip install pulp[highs]
python -m pip install pulp[copt]
python -m pip install pulp[mosek]
python -m pip install pulp[cylp]
python -m pip install pulp[cbc]

If you want to install all open source solvers (scip, highs, cbc), you can use the shortcut::

python -m pip install pulp[open_py]

For more information on how to install solvers, see the guide on configuring solvers.

Use LpProblem to create a problem, then add variables with add_variable. Create a problem called "myProblem" and a variable x with 0 ≤ x ≤ 3:

from pulp import *
prob = LpProblem("myProblem", LpMinimize)
x = prob.add_variable("x", 0, 3)

To create a binary variable y (values 0 or 1):

y = prob.add_variable("y", cat="Binary")

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

prob += x + y <= 2

An expression is a constraint without a right-hand side (RHS) sense (one of =, <= or >=). If you add an expression to a problem, it will become the objective:

prob += -4*x + y

To solve the problem with the default solver (CBC when installed via pulp[cbc] or cbc on PATH, otherwise another available backend):

status = prob.solve()

If you want to try another solver to solve the problem:

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

Display the status of the solution:

LpStatus[status]
> 'Optimal'

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

value(x)
> 2.0

• LpProblem -- Container class for a Linear or Integer programming problem

• LpVariable -- Variables that are added into constraints in the LP problem

• LpConstraint -- Constraints of the general form

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

• value() -- Finds the value of a variable or expression
• lpSum() -- Given a list of the form [a1*x1, a2*x2, ..., an*xn] 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 expression to be used as a constraint or variable

Several tutorial are given in documentation and pure code examples are available in examples/ directory .

The examples assume CBC is available (for example after pip install pulp[cbc]). To use other solvers they must be available (installed and accessible). For more information, see the guide on configuring solvers.

If you want to install the latest version from GitHub you can run:

python -m pip install -U "pulp[cbc] @ git+https://github.com/coin-or/pulp.git"

This version of PuLP includes a Rust extension (pulp._rustcore) that provides the core model, variables, constraints, and expressions. The build uses maturin and requires a Rust toolchain in addition to Python.

Requirements

• Python 3.9 or newer
• Rust (latest stable). Install from https://rustup.rs/
• uv (recommended for install and dev). Install with: curl -LsSf https://astral.sh/uv/install.sh | sh (Linux/macOS) or powershell -c "irm https://astral.sh/uv/install.ps1 | iex" (Windows)
• OS: Windows, macOS (x86_64, arm64), or Linux (x86_64, arm64). The Rust extension is built for the host platform.

Build steps

From the PuLP root directory, create a virtual environment and install the package in editable mode with dev dependencies:

uv venv
uv pip install --group dev -e .[cbc]

Or with plain pip (maturin will be used automatically by the build backend):

python -m venv .venv
source .venv/bin/activate   # Windows: .venv\Scripts\activate
python -m pip install --upgrade pip
python -m pip install -e ".[cbc]"

Running tests

uv run python -m unittest discover -s pulp/tests -v

The PuLP documentation is built with Sphinx. Use a virtual environment and the dev install above, then:

cd doc
make html

A folder named html will be created inside doc/build/. Open doc/build/html/index.html in a browser.

Instructions for making your first contribution to PuLP are given here.

Comments, bug reports, patches and suggestions are very welcome!

• Comments and suggestions: https://github.com/coin-or/pulp/discussions
• Bug reports: https://github.com/coin-or/pulp/issues
• Patches: https://github.com/coin-or/pulp/pulls

PuLP is distributed under an MIT license.

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