Improved approximation algorithms for rectangle tiling and packing

  • Authors:
  • Piotr Berman;Bhaskar DasGupta;S. Muthukrishnan;Suneeta Ramaswami

  • Affiliations:
  • Department of Computer Science, Pennsylvania State University, University Park, PA;Department of Computer Science, Rutgers University, Camden, NJ;AT&T Labs - Research, 180 Park Avenue, Florham Park, NJ;Department of Computer Science, Rutgers University, Camden, NJ

  • Venue:
  • SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
  • Year:
  • 2001

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Abstract

We provide improved approximation algorithms for several rectangle tiling and packing problems (RTILE, DRTILE and d-RPACK) studied in the literature. Our algorithms are highly efficient since their running times are near-linear in the space input size rather than in the domain size. In addition, we improve the best known approximation ratios, in some cases quite significantly.