3d bin packing algorithm

Question

I am looking for a deterministic implementation for any 3d bin packing algorithm, i.e. for packing many small and different cuboids inside one or many bigger ones. The solution could vary from the optimal one.

It should be written in C, C++, Java, C#, IronPython, IronRuby or any other language an can bin to from .Net code.

I found this C algorithm http://www.diku.dk/hjemmesider/ansatte/pisinger/3dbpp.c , but it doesn’t rotate the cuboids to find the best fit. I am ok with not rotating them upside down, but horizontal rotation should be possible.

Answer 1

The general version of the problem is considered in "Algorithms for General and Robot-packable Variants of the Three-Dimensional Bin Packing Problem: http://www.3dbinbox.com/Public/home/

Answer 2

I converted wknechtel/3d-bin-pack C code to javascript. Can be easily port to C#.

https://github.com/keremdemirer/3dbinpackingjs

You can run example calculations from index.html file and review the generated report. pack1.js file contains the app and algorithm. I'm not sure how the algorithm works but the results are satisfying for packaging calculations.

Answer 3

I have written an approximate algorithm for the case you describe i.e. 3D rectangular boxes, with orthogonal rotation, in C++. You can find the results and algorithm in the published paper: http://www.cs.ukzn.ac.za/publications/erick_dube_507-034.pdf

Answer 4

This problem is NP-hard. Your best bet is an approximation algorithm (until a genius person solves any NP problem, or a very lucky fellow stumbles across a solution.) I do not know of any well know approximation algorithms for this problem unfortunately.

Answer 5

You can have a look at my approximation for this algorithm.

It is a intelligent first fit algorithm based on maximal area coverage.

https://github.com/mohitesh07/3d-bin-packing

It is written in Java

Answer 6

Open source Java project with support for Largest Area Fit First: 3d-bin-container-packing

Rotates in 2D or 3D.