This is the solution by team alfnie to the Mathworks/Kaggle Packing Santa's Sleigh competition (http://www.kaggle.com/c/packing-santas-sleigh). This solution got 2nd position overall in the competition (and first among the submissions in Matlab)

It implements a simple layer-based approach to three-dimensional bin-packing with a twist on how individual layers are defined.

Inside it you may find useful some simple n-dimensional "largest empty rectangle" (MaxRect) implementation which may aid you in other bin-packing endeavors...