Algorithm for Cutting Stock Problem using Google OR-Tools. Link to the tool:

Overview

Cutting Stock Problem

Cutting Stock Problem (CSP) deals with planning the cutting of items (rods / sheets) from given stock items (which are usually of fixed size).

New to Cutting Stock Problem? Understand Visually

Video Tutorial on Cutting Stock Problem

This implementation of CSP tries to answer

How to minimize number of stock items used while cutting customer order

while doing so, it also caters

How to cut the stock for customer orders so that waste is minimum

The OR Tools also helps us in calculating the number of possible solutions for your problem. So in addition, we can also compute

In how many ways can we cut given order from fixed size Stock?

Quick Usage

This is how CSP Tools looks in action. Click CSP Tool to use it CSP Tool

Libraries

Quick Start

Install Pipenv, if not already installed

$ pip3 install --user pipenv

Clone this project and install packages

$ git clone https://github.com/emadehsan/csp
$ cd csp
$ pipenv install

# activate env
$ pipenv shell

Run

If you run the stock_cutter_1d.py file directly, it runs the example which uses 120 as length of stock Rod and generates some customer rods to cut. You can update these at the end of stock_cutter_1d.py.

(csp) $ python csp/stock_cutter_1d.py

Output:

numRollsUsed 5
Status: OPTIMAL
Roll #0: [0.0, [33, 33, 18, 18, 18]]
Roll #1: [2.9999999999999925, [33, 30, 18, 18, 18]]
Roll #2: [5.999999999999993, [30, 30, 18, 18, 18]]
Roll #3: [2.9999999999999987, [33, 33, 33, 18]]
Roll #4: [21.0, [33, 33, 33]]```

Graph of Output

Using input file

If you want to describe your inputs in a file, infile.txt describes the expected format

(csp) $ python3 csp/stock_cutter_1d.py infile.txt

Thinks to keep in mind

  • Works with integers only: IP (Integer Programming) problems working with integers only. If you have some values that have decimal part, you can multiply all of your inputs with some number that will make them integers (or close estimation).
  • You cannot specify units: Whether your input is in Inches or Meters, you have to keep a record of that yourself and conversions if any.

Resources

The whole code for this project is taken from Serge Kruk's

Comments
  • Same problem, two different answers

    Same problem, two different answers

    I put in two problems, cut 4 18x36 pieces, or 4 36x18 pieces from a 48x96 sheet.

    The program comes up with a different solution depending on the order of the dimensions on the pieces.

    The graphics on the wrong one (Cut 1 below)are also wrong whereas the one on the correct answer (Cut 2 below) also is correct.

    Swapping the dimensions of the sheet produces two different looking answers but, since the orientation of the sheet, and the outline of the remainder are not shown on the solution, it's hard telling whether the two answers are eqivalent.

    Cut 1 -- wrong Cut 2 -- right

    opened by ssteinerx 12
  • Add limit

    Add limit

    image As per current flow, you have allowed multiple cuts on single rolls but I want to make it limited i.e I want to make only 7 cuts on a single roll after that it should throw an error. I had attached a screenshot where I highlighted a part where I need to put a limit of 7 instead of any number of cuts. So can you please suggest to me how can I achieve it? @emadehsan

    enhancement 
    opened by parthshah27 5
  • Extension to 2D

    Extension to 2D

    This is a fantastic solution, thank you for posting it. I was wondering, if you had any plans to upload your solution for 2D as well? Because i saw that you had the extension in the web version of CSP for rectangular sheets

    opened by Verlinch 2
  • Bump express from 4.17.1 to 4.18.2 in /deployment/frontend

    Bump express from 4.17.1 to 4.18.2 in /deployment/frontend

    Bumps express from 4.17.1 to 4.18.2.

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    4.18.2

    4.18.1

    • Fix hanging on large stack of sync routes

    4.18.0

    ... (truncated)

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    Sourced from express's changelog.

    4.18.2 / 2022-10-08

    4.18.1 / 2022-04-29

    • Fix hanging on large stack of sync routes

    4.18.0 / 2022-04-25

    ... (truncated)

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  • Bump async from 2.6.3 to 2.6.4 in /deployment/frontend

    Bump async from 2.6.3 to 2.6.4 in /deployment/frontend

    Bumps async from 2.6.3 to 2.6.4.

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    v2.6.4

    • Fix potential prototype pollution exploit (#1828)
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  • Bump terser from 4.8.0 to 4.8.1 in /deployment/frontend

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  • Bump d3-color from 3.0.1 to 3.1.0 in /deployment/frontend

    Bump d3-color from 3.0.1 to 3.1.0 in /deployment/frontend

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  • Bump minimatch from 3.0.4 to 3.1.2 in /deployment/frontend

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  • Bump shell-quote from 1.7.2 to 1.7.4 in /deployment/frontend

    Bump shell-quote from 1.7.2 to 1.7.4 in /deployment/frontend

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    v1.7.4 - 2022-10-12

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    • [eslint] fix indentation and whitespace aaa9d1f
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    1.7.3

    • Fix a security issue where the regex for windows drive letters allowed some shell meta-characters to escape the quoting rules. (CVE-2021-42740)
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    • 5409e72 v1.7.4
    • 4763c36 [actions] add reusable workflows
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    This version was pushed to npm by ljharb, a new releaser for shell-quote since your current version.


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  • Bump pillow from 9.2.0 to 9.3.0

    Bump pillow from 9.2.0 to 9.3.0

    Bumps pillow from 9.2.0 to 9.3.0.

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    9.3.0

    https://pillow.readthedocs.io/en/stable/releasenotes/9.3.0.html

    Changes

    ... (truncated)

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    9.3.0 (2022-10-29)

    • Limit SAMPLESPERPIXEL to avoid runtime DOS #6700 [wiredfool]

    • Initialize libtiff buffer when saving #6699 [radarhere]

    • Inline fname2char to fix memory leak #6329 [nulano]

    • Fix memory leaks related to text features #6330 [nulano]

    • Use double quotes for version check on old CPython on Windows #6695 [hugovk]

    • Remove backup implementation of Round for Windows platforms #6693 [cgohlke]

    • Fixed set_variation_by_name offset #6445 [radarhere]

    • Fix malloc in _imagingft.c:font_setvaraxes #6690 [cgohlke]

    • Release Python GIL when converting images using matrix operations #6418 [hmaarrfk]

    • Added ExifTags enums #6630 [radarhere]

    • Do not modify previous frame when calculating delta in PNG #6683 [radarhere]

    • Added support for reading BMP images with RLE4 compression #6674 [npjg, radarhere]

    • Decode JPEG compressed BLP1 data in original mode #6678 [radarhere]

    • Added GPS TIFF tag info #6661 [radarhere]

    • Added conversion between RGB/RGBA/RGBX and LAB #6647 [radarhere]

    • Do not attempt normalization if mode is already normal #6644 [radarhere]

    ... (truncated)

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  • Bump pillow from 8.3.2 to 9.0.1

    Bump pillow from 8.3.2 to 9.0.1

    Bumps pillow from 8.3.2 to 9.0.1.

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    9.0.1

    https://pillow.readthedocs.io/en/stable/releasenotes/9.0.1.html

    Changes

    • In show_file, use os.remove to remove temporary images. CVE-2022-24303 #6010 [@​radarhere, @​hugovk]
    • Restrict builtins within lambdas for ImageMath.eval. CVE-2022-22817 #6009 [radarhere]

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    9.0.1 (2022-02-03)

    • In show_file, use os.remove to remove temporary images. CVE-2022-24303 #6010 [radarhere, hugovk]

    • Restrict builtins within lambdas for ImageMath.eval. CVE-2022-22817 #6009 [radarhere]

    9.0.0 (2022-01-02)

    • Restrict builtins for ImageMath.eval(). CVE-2022-22817 #5923 [radarhere]

    • Ensure JpegImagePlugin stops at the end of a truncated file #5921 [radarhere]

    • Fixed ImagePath.Path array handling. CVE-2022-22815, CVE-2022-22816 #5920 [radarhere]

    • Remove consecutive duplicate tiles that only differ by their offset #5919 [radarhere]

    • Improved I;16 operations on big endian #5901 [radarhere]

    • Limit quantized palette to number of colors #5879 [radarhere]

    • Fixed palette index for zeroed color in FASTOCTREE quantize #5869 [radarhere]

    • When saving RGBA to GIF, make use of first transparent palette entry #5859 [radarhere]

    • Pass SAMPLEFORMAT to libtiff #5848 [radarhere]

    • Added rounding when converting P and PA #5824 [radarhere]

    • Improved putdata() documentation and data handling #5910 [radarhere]

    • Exclude carriage return in PDF regex to help prevent ReDoS #5912 [hugovk]

    • Fixed freeing pointer in ImageDraw.Outline.transform #5909 [radarhere]

    ... (truncated)

    Commits
    • 6deac9e 9.0.1 version bump
    • c04d812 Update CHANGES.rst [ci skip]
    • 4fabec3 Added release notes for 9.0.1
    • 02affaa Added delay after opening image with xdg-open
    • ca0b585 Updated formatting
    • 427221e In show_file, use os.remove to remove temporary images
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  • Adding optional variable to the model solver

    Adding optional variable to the model solver

    Hello Emad,

    Thank you for putting this together - and introducing me to Serge Kruk's book, it's been extremely helpful on a current project.

    One question I'm exploring, is how to add optional variable inputs (optional constraints) to the solver, i.e., a second input list of Size(s), setting these to optional, and letting the solver increase the quantity until a certain condition is met?

    For example, add rolls of a size to minimize waste up to a set maximum # of rolls? I have a rough idea, but wondering if this has already been thought out.

    opened by Tyler0Akers 1
  • Run multiple times the code with diferent input

    Run multiple times the code with diferent input

    Hello Emad

    First of all, thank you for this code, it has been a great help in my work.

    I was wondering how can I run the code several times with different input to get multiple results, when I close the plot I have to run the code again.

    I've changed the code in order select a input file via "tkinter.filedialog" the missing part is to run the solver several times

    Thank you

    opened by TheDammedSon 2
  • Multithreaded Computation or slow CPU

    Multithreaded Computation or slow CPU

    Hi,

    I'm really like this approach to the problem.

    The thing is when I use big sets of small rolls (typically around 70 units) it's freezes. My question is my computer slow ( i5-4460 with 8 Gb of RAM) or is this computation single-threaded?

    How can I work is around?

    Thank you in advance

    opened by TheDammedSon 2
Owner
Emad Ehsan
Overthinking about overthinking. Co-founded @Traverous | Google Developer Expert @googledevelopers | Top Trending Developer on GitHub
Emad Ehsan
A Python program to easily solve the n-queens problem using min-conflicts algorithm

QueensProblem A program to easily solve the n-queens problem using min-conflicts algorithm Performances estimated with a sample of 1000 different rand

null 0 Oct 21, 2022
N Queen Problem using Genetic Algorithm

The N Queen is the problem of placing N chess queens on an N×N chessboard so that no two queens attack each other.

Mahdi Hassanzadeh 2 Nov 11, 2022
Greedy Algorithm-Problem Solving

MAX-MIN-Hackrrank-Python-Solution Greedy Algorithm-Problem Solving You will be given a list of integers, , and a single integer . You must create an a

Mahesh Nagargoje 3 Jul 13, 2021
Parameterising Simulated Annealing for the Travelling Salesman Problem

Parameterising Simulated Annealing for the Travelling Salesman Problem Abstract The Travelling Salesman Problem is a well known NP-Hard problem. Given

Gary Sun 55 Jun 15, 2022
A priority of preferences for teacher assignment problem

Genetic-Algorithm-for-Assignment-Problem A priority of preferences for teacher assignment problem Keywords k-partition; clustering; education 4.0 Abst

hades 2 Oct 31, 2022
Sorting Algorithm Visualiser using pygame

SortingVisualiser Sorting Algorithm Visualiser using pygame Features Visualisation of some traditional sorting algorithms like quicksort and bubblesor

null 4 Sep 5, 2021
A Python Package for Portfolio Optimization using the Critical Line Algorithm

A Python Package for Portfolio Optimization using the Critical Line Algorithm

null 19 Oct 11, 2022
🧬 Training the car to do self-parking using a genetic algorithm

?? Training the car to do self-parking using a genetic algorithm

Oleksii Trekhleb 652 Jan 3, 2023
A tictactoe where you never win, implemented using minimax algorithm

Unbeatable_TicTacToe A tictactoe where you never win, implemented using minimax algorithm Requirements Make sure you have the pygame module along with

Jessica Jolly 3 Jul 28, 2022
Exact algorithm for computing two-sided statistical tolerance intervals under a normal distribution assumption using Python.

norm-tol-int Exact algorithm for computing two-sided statistical tolerance intervals under a normal distribution assumption using Python. Methods The

Jed Ludlow 1 Jan 6, 2022
Sign data using symmetric-key algorithm encryption.

Sign data using symmetric-key algorithm encryption. Validate signed data and identify possible validation errors. Uses sha-(1, 224, 256, 385 and 512)/hmac for signature encryption. Custom hash algorithms are allowed. Useful shortcut functions for signing (and validating) dictionaries and URLs.

Artur Barseghyan 39 Jun 10, 2022
A Python project for optimizing the 8 Queens Puzzle using the Genetic Algorithm implemented in PyGAD.

8QueensGenetic A Python project for optimizing the 8 Queens Puzzle using the Genetic Algorithm implemented in PyGAD. The project uses the Kivy cross-p

Ahmed Gad 16 Nov 13, 2022
Data Model built using Logistic Regression Algorithm on Python.

Logistic-Regression Problem Statement: Your client is a retail banking institution. Term deposits are a major source of income for a bank. A term depo

Hemanth Babu Muthineni 0 Dec 25, 2021
FingerPy is a algorithm to measure, analyse and monitor heart-beat using only a video of the user's finger on a mobile cellphone camera.

FingerPy is a algorithm using python, scipy and fft to measure, analyse and monitor heart-beat using only a video of the user's finger on a m

Thiago S. Brasil 37 Oct 21, 2022
This is an Airport Scheduling Time table implemented using Genetic Algorithm

This is an Airport Scheduling Time table implemented using Genetic Algorithm In this The scheduling is performed on the basisi of that no two Air planes are arriving or departing at the same runway at the same time and day there are total of 4 Airplanes 3 and 3 Runways.

null 1 Jan 6, 2022
Python algorithm to determine the optimal elevation threshold of a GNSS receiver, by using a statistical test known as the Brown-Forsynthe test.

Levene and Brown-Forsynthe: Test for variances Application to Global Navigation Satellite Systems (GNSS) Python algorithm to determine the optimal ele

Nicolas Gachancipa 2 Aug 9, 2022
Wordle-solver - A program that solves a Wordle using a simple algorithm

Wordle Solver A program that solves a Wordle using a simple algorithm. To see it

Luc Bouchard 3 Feb 13, 2022
This application solves sudoku puzzles using a backtracking recursive algorithm

This application solves sudoku puzzles using a backtracking recursive algorithm. The user interface is coded with Pygame to allow users to easily input puzzles.

Glenda T 0 May 17, 2022
A fast python implementation of the SimHash algorithm.

This Python package provides hashing algorithms for computing cohort ids of users based on their browsing history. As such, it may be used to compute cohort ids of users following Google's Federated Learning of Cohorts (FLoC) proposal.

Hybrid Theory 19 Dec 15, 2022