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Quintiq, MJs-Hertogenbosch, The Netherlands
In the three-dimensional bin packing problem the task is to orthogonally pack a given set of rectangular items into a minimum number of three-dimensional rectangular bins. We give a characterization of the algorithm proposed by Martello et al. (2000) for the exact solution of the problem, showing that not all orthogonal packings can be generated by the proposed algorithm. The packings, however, have the property of being robot packings, which is relevant in practical settings. References to the modified algorithm, which solves the orthogonal as well as robot packable three-dimensional problem, are given.
Philips Research Laboratories, Eindhoven, The Netherlands
DEIS, University of Bologna, Bologna, Italy
DIKU, University of Copenhagen, Copenhagen, Denmark
DEIS, University of Bologna, Bologna, Italy
edgar.den.boef{at}quintiq.com
jan.korst#x0040;philips.com
smartello#x0040;deis.unibo.it
pisinger#x0040;diku.dk
dvigo#x0040;deis.unibo.it
Subject classifications: programming:integer algorithms; production/scheduling:cutting stock/trim.
History: Received January 2002;
revision received June 2004; revision received July 2004;
accepted July 2004.
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