An exact algorithm for higher-dimensional orthogonal packing
Abstract
Higher-dimensional orthogonal packing problems have a wide range of practical applications, including packing, cutting, and scheduling. Combining the use of our data structure for characterizing feasible packings with our new classes of lower bounds, and other heuristics, we develop a two-level tree search algorithm for solving higher-dimensional packing problems to optimality. Computational results are reported, including optimal solutions for all two--dimensional test problems from recent literature. This is the third in a series of articles describing new approaches to higher-dimensional packing; see cs.DS/0310032 and cs.DS/0402044.
Cite
@article{arxiv.cs/0604045,
title = {An exact algorithm for higher-dimensional orthogonal packing},
author = {Sandor P. Fekete and Joerg Schepers and Jan C. van der Veen},
journal= {arXiv preprint arXiv:cs/0604045},
year = {2007}
}
Comments
31 pages, 6 figures, 9 tables, to appear in Operations Research; full and updated journal version of sketches that appeared as parts of an extended abstract in ESA'97