3d bin packing algorithm [closed]

Answer 1

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 2

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 3

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.