Can 3D Bin Packing Algorithms Optimize Box Packing?

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SUMMARY

The discussion centers on the application of 3D bin packing algorithms to optimize the arrangement of products within a shipping box. Participants recommend exploring mathematical concepts related to packing, specifically referencing resources that detail the structure of solids and packing theory. Key resources include links to academic lectures and articles that provide foundational knowledge on packing problems. The consensus is that understanding these algorithms can significantly enhance the efficiency of box packing solutions.

PREREQUISITES
  • Understanding of 3D bin packing algorithms
  • Familiarity with dimensions and spatial reasoning
  • Basic knowledge of mathematical packing theory
  • Competence in programming for algorithm implementation
NEXT STEPS
  • Research specific 3D bin packing algorithms such as the First Fit Decreasing (FFD) algorithm
  • Explore mathematical packing theories through the provided academic resources
  • Implement a prototype using Python or C++ to test packing algorithms
  • Investigate optimization techniques for improving packing efficiency
USEFUL FOR

This discussion is beneficial for software developers, logistics engineers, and anyone involved in optimizing shipping and packaging processes using algorithmic solutions.

dbalatero
Hello, I'm writing some code that will check if an array of products with given dimensions (length, width, height) can fit inside of a shipping box of given dimensions (length, width, height).

Is there an algorithm to do this, or could someone point me in the right direction of where to go with this? I have my own theories, but while I'm competent with math, I'm not a math genius either...

Thanks!
 
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You want to look at the area of maths knoiwn as 'packing':

http://www.chem.ox.ac.uk/icl/heyes/structure_of_solids/Lecture1/Lec1.html

http://www.maa.org/devlin/devlin_9_98.html

http://www.stetson.edu/~efriedma/packing.html

http://www.polymorf.net/matter6.htm

These are sites I used as references when I was trying to solve a packing problem with marbles, so they may or may not be relevant to you.
 
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