The paper presents a tree search algorithm for the three-dimensional container loading problem(3D-CLP). The 3D-CLP is the problem of loading a subset of a given set of rectangularboxes into a rectangular container so that the packed volume is maximized. The method hastwo variants: the packing...

Given a set of rectangular pieces and a rectangular container, the two-dimensional knapsackproblem (2D-KP) consists of orthogonally packing a subset of the pieces within the container suchthat the sum of the values of the packed pieces is maximized. If the value of a piece is given by itsarea...

The more-dimensional bin packing problem (BPP) considered here requires packing a set ofrectangular shaped items into a minimum number of identical rectangular shaped bins. All itemsmay be rotated and the guillotine constraint has to be respected. A straightforward heuristic ispresented that is...