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...

The contribution presents a heuristic for the three-dimensional strip-packing problem (3D-SPP) with rectangular shaped pieces (boxes). The considered 3D-SPP can be formulated as follows: for a given set of boxes and a given longitudinal open container, determine a feasible arrangement of all...

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...

Strip-Packing-Probleme stellen mehrdimensionale Packprobleme dar, die sich im dreidimensionalen Fall wie folgt formulieren lassen. Eine gegebene Menge quaderförmiger Packstücke (Kisten) ist vollständig in einem quaderförmigen und in Längsrichtung offenen Container anzuordnen. Die...

The paper presents a genetic algorithm (GA) for the two-dimensional strip-packing problem (SPP) with rectangular shaped pieces. Both the non-guillotinable SPP and the guillotinable SPP can be tackled. The genetic algorithm has been derived from a GA that was proposed earlier for solving the...