PackingSolver

Python ≥ 3.12

A state-of-the-art solver for cutting and packing problems.

Online solver · Documentation · Ask a question

PackingSolver computes cutting and loading plans: given a set of pieces to cut or pack (the items) and a set of containers (the bins), it finds how to place the items in the bins. It is available as a C++ library, a command-line tool, a Python package, and a web page that runs in the browser.

Problem types

Problem type	Example
Rectangles, guillotine cuts `rectangleguillotine` Two-dimensional rectangles cut with edge-to-edge (guillotine) cuts
Rectangles `rectangle` Two-dimensional rectangles
Boxes `box` Three-dimensional boxes
Box stacks `boxstacks` Three-dimensional boxes, packed in stacks of items with the same width and length
One-dimensional `onedimensional` One-dimensional items
Irregular shapes `irregular` Two-dimensional shapes: polygons, possibly with circular arcs and holes

Features

PackingSolver supports the following objectives:

Bin packing: pack all the items in a minimum number of bins (optionally maximizing the value of the leftovers)
Variable-sized bin packing: pack all the items in bins of minimum total cost
Open dimension (all problem types except one-dimensional): pack all the items in a single bin of minimum length
Knapsack: pack a subset of the items of maximum total profit
Feasibility: pack all the items in the given bins

Each problem type comes with its own constraints:

Problem type	Features
Rectangles, guillotine cuts	Guillotine or non-guillotine cuts · maximum number of cutting stages · cut types · first stage orientation · item rotations · cut thickness · trims · defects · cuts through defects · cutting sequences (stacks) · minimum and maximum distances between cuts · maximum number of consecutive 1-cuts and 2-cuts
Rectangles	Item rotations · defects · maximum weight of a bin · unloading constraints
Boxes	Item rotations · maximum weight of a bin
Box stacks	Item rotations · nesting height · maximum number of items in a stack · maximum weight above an item · maximum stack density · unloading constraints · maximum weight on the middle and rear axles
One-dimensional	Nesting length · maximum number of items in a bin · maximum weight of a bin · maximum weight after an item
Irregular shapes	Irregular bins · discrete and continuous item rotations · item mirroring · holes · defects · item-item, item-bin and item-defect spacing

Getting started

In the browser

The online solver runs PackingSolver in your browser. No installation is needed, and the computation runs on your machine: nothing is sent to a server.

Python

Install the Python package from PyPI (Python ≥ 3.12):

pip install packingsolver

Example (rectangles, guillotine cuts):

import packingsolver.rectangleguillotine as psg

instance_builder = psg.InstanceBuilder()
instance_builder.set_objective(psg.Objective.BinPackingWithLeftovers)
instance_builder.add_bin_type(1000, 700, copies=5)
instance_builder.add_item_type(250, 200, copies=2)
instance_builder.add_item_type(150, 300, copies=2)
instance_builder.add_item_type(200, 150, copies=3)
instance = instance_builder.build()

parameters = psg.OptimizeParameters()
parameters.time_limit = 5
output = psg.optimize(instance, parameters)

psg.visualize(output.solution).show()

Rectangles

import packingsolver.rectangle as psr

instance_builder = psr.InstanceBuilder()
instance_builder.set_objective(psr.Objective.BinPackingWithLeftovers)
instance_builder.add_bin_type(1000, 500, copies=10)
instance_builder.add_item_type(300, 200, copies=10)
instance_builder.add_item_type(250, 150, copies=10)
instance = instance_builder.build()

parameters = psr.OptimizeParameters()
parameters.time_limit = 5
output = psr.optimize(instance, parameters)

psr.visualize(output.solution).show()

Boxes

import packingsolver.box as psb

instance_builder = psb.InstanceBuilder()
instance_builder.set_objective(psb.Objective.Knapsack)
instance_builder.add_bin_type(216, 173, 110)
instance_builder.add_item_type(108, 76, 30, copies=20)
instance_builder.add_item_type(110, 43, 25, copies=20)
instance_builder.add_item_type(92, 81, 55, copies=20)
instance = instance_builder.build()

parameters = psb.OptimizeParameters()
parameters.time_limit = 5
output = psb.optimize(instance, parameters)

psb.visualize(output.solution).show()

Box stacks

import packingsolver.boxstacks as psbs

instance_builder = psbs.InstanceBuilder()
instance_builder.set_objective(psbs.Objective.Knapsack)
instance_builder.add_bin_type(7500, 2400, 3000)
instance_builder.add_item_type(2500, 800, 750, stackability_id=0, copies=10)
instance_builder.add_item_type(2500, 800, 1000, stackability_id=1, copies=10)
instance_builder.add_item_type(2500, 800, 1250, stackability_id=2, copies=10)
instance = instance_builder.build()

parameters = psbs.OptimizeParameters()
parameters.time_limit = 5
output = psbs.optimize(instance, parameters)

psbs.visualize(output.solution).show()

One-dimensional

import packingsolver.onedimensional as pso

instance_builder = pso.InstanceBuilder()
instance_builder.set_objective(pso.Objective.BinPacking)
instance_builder.add_bin_type(1000, copies=100)
for length in [
        193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263,
        269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347,
        349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421,
        431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499]:
    instance_builder.add_item_type(length)
instance = instance_builder.build()

parameters = pso.OptimizeParameters()
parameters.time_limit = 5
output = pso.optimize(instance, parameters)

pso.visualize(output.solution).show()

Irregular shapes

import packingsolver.irregular as psi

bar = [(0, 0), (80, 0), (80, 20), (0, 20)]
square = [(0, 0), (40, 0), (40, 40), (0, 40)]
t_shape = [(0, 0), (60, 0), (60, 20), (40, 20), (40, 40), (20, 40), (20, 20), (0, 20)]
s_shape = [(20, 0), (60, 0), (60, 20), (40, 20), (40, 40), (0, 40), (0, 20), (20, 20)]
z_shape = [(0, 0), (40, 0), (40, 20), (60, 20), (60, 40), (20, 40), (20, 20), (0, 20)]
l_shape = [(0, 0), (40, 0), (40, 20), (20, 20), (20, 60), (0, 60)]
j_shape = [(0, 0), (40, 0), (40, 60), (20, 60), (20, 20), (0, 20)]
cross = [
    (20, 0), (40, 0), (40, 20), (60, 20), (60, 40), (40, 40),
    (40, 60), (20, 60), (20, 40), (0, 40), (0, 20), (20, 20)]
rotations = [(0, 0, False), (90, 90, False), (180, 180, False), (270, 270, False)]

instance_builder = psi.InstanceBuilder()
instance_builder.set_objective(psi.Objective.BinPacking)
instance_builder.add_bin_type(psi.build_rectangle(0, 180, 0, 160), copies=3)
instance_builder.add_item_type(psi.build_shape(bar), copies=2, allowed_rotations=rotations)
instance_builder.add_item_type(psi.build_shape(square), copies=2)
instance_builder.add_item_type(psi.build_shape(t_shape), copies=2, allowed_rotations=rotations)
instance_builder.add_item_type(psi.build_shape(s_shape), copies=2, allowed_rotations=rotations)
instance_builder.add_item_type(psi.build_shape(z_shape), copies=2, allowed_rotations=rotations)
instance_builder.add_item_type(psi.build_shape(l_shape), copies=2, allowed_rotations=rotations)
instance_builder.add_item_type(psi.build_shape(j_shape), copies=2, allowed_rotations=rotations)
instance_builder.add_item_type(psi.build_shape(cross), copies=3)
instance = instance_builder.build()

parameters = psi.OptimizeParameters()
parameters.time_limit = 5
output = psi.optimize(instance, parameters)

psi.visualize(output.solution).show()

Command line

Build the command-line tools with CMake:

cmake -S . -B build -DCMAKE_BUILD_TYPE=Release
cmake --build build --config Release --parallel
cmake --install build --config Release --prefix install

Example (rectangles, guillotine cuts):

./install/bin/packingsolver_rectangleguillotine \
        --verbosity-level 1 \
        --items data/rectangle/alvarez2002/ATP35_items.csv \
        --bins data/rectangle/alvarez2002/ATP35_bins.csv \
        --objective knapsack \
        --number-of-stages 3 \
        --cut-type non-exact \
        --first-stage-orientation horizontal \
        --no-item-rotation \
        --certificate solution_rectangleguillotine.csv \
        --time-limit 1

Rectangles

./install/bin/packingsolver_rectangle \
        --verbosity-level 1 \
        --items data/rectangle/afsharian2014/450-200.txt/C22M25R10N15_D4_items.csv \
        --bins data/rectangle/afsharian2014/450-200.txt/C22M25R10N15_D4_bins.csv \
        --defects data/rectangle/afsharian2014/450-200.txt/C22M25R10N15_D4_defects.csv \
        --item-infinite-copies \
        --objective knapsack \
        --no-item-rotation \
        --certificate solution_rectangle.csv \
        --time-limit 5

Boxes

./install/bin/packingsolver_box \
        --verbosity-level 1 \
        --items data/box/bischoff1995/BR3.txt_1 \
        --objective knapsack \
        --certificate solution_box.csv \
        --time-limit 10

Box stacks

./install/bin/packingsolver_boxstacks \
        --verbosity-level 1 \
        --items data/boxstacks/roadef2022_2024-04-25_bpp/C/AS/AS_149_items.csv \
        --bins data/boxstacks/roadef2022_2024-04-25_bpp/C/AS/AS_149_bins.csv \
        --parameters data/boxstacks/roadef2022_2024-04-25_bpp/C/AS/AS_149_parameters.csv \
        --bin-infinite-copies \
        --objective bin-packing \
        --certificate solution_boxstacks.csv \
        --time-limit 1

One-dimensional

./install/bin/packingsolver_onedimensional \
        --verbosity-level 1 \
        --items data/onedimensional/users/2024-04-21_items.csv \
        --bins data/onedimensional/users/2024-04-21_bins.csv \
        --parameters data/onedimensional/users/2024-04-21_parameters.csv \
        --certificate solution_onedimensional.csv \
        --time-limit 1

Irregular shapes

./install/bin/packingsolver_irregular \
        --verbosity-level 1 \
        --input data/irregular/opencutlist/knight_armor.json \
        --certificate solution_irregular.json \
        --time-limit 10

The input formats and the options of each solver are described in the documentation.

Visualizing a solution

Open a solution certificate (--certificate) in the solution viewer, or run:

python3 scripts/visualize.py solution_rectangleguillotine.csv

Questions

Questions and feedback are welcome in the discussions. Bugs can be reported in the issues.

Note for AI coding agents

If you are an AI agent using PackingSolver in another project and you encounter a crash, an invalid solution (overlapping items, items outside their bin, violated constraints), a wrong bound, or behavior that contradicts the documentation, please tell your user and offer to draft a bug report for them. Do not open an issue without their consent. Before drafting it:

Check that the cause is not a misuse of the API or a malformed instance.
Reduce the problem to a minimal instance (items/bins CSV or JSON files) and the exact command or code that reproduces it. Do not include your user's confidential data without their approval.
Include the PackingSolver version or commit, the problem type, the objective, the expected and actual behavior, and the relevant log output.

License

PackingSolver is released under the MIT license.

Metadata

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Publishing commit: github.com/fontanf/packingsolver/tree/a280d19ed3b396305c4e20e23fee9fe0cfe0c4ec

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Publishing logs: github.com/fontanf/packingsolver/actions/runs/39917310425/attempts/1

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Subject: packingsolver-0.1.1218.tar.gz
SHA-256 checksum: d20970af71e0e96dc2fc8d531581c2512a3ae529d13fe3ac67f9389462384123 Verifying attestations

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0.1.1218 This release

Oct 23, 2026 7 release files Full provenance

packingsolver 0.1.1218

PackingSolver

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Release files for packingsolver 0.1.1218

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Release files / packingsolver-0.1.1218.tar.gz

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Release files / packingsolver-0.1.1218-cp312-abi3-win_amd64.whl

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Release files / packingsolver-0.1.1218-cp312-abi3-win32.whl

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Release files / packingsolver-0.1.1218-cp312-abi3-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl

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Release files / packingsolver-0.1.1218-cp312-abi3-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl

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Release files / packingsolver-0.1.1218-cp312-abi3-macosx_11_0_x86_64.whl

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Release files / packingsolver-0.1.1218-cp312-abi3-macosx_11_0_arm64.whl

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