We provide constant ratio approximation algorithms for two NP-hard problems, the rectangle stabbing problem and the rectilinear partitioning problem. In the rectangle stabbing problem, we are given a set of rectangles in two-dimensional space, with the objective of stabbing all rectangles with the m
Efficient Approximation Algorithms for Tiling and Packing Problems with Rectangles
โ Scribed by Piotr Berman; Bhaskar DasGupta; S Muthukrishnan; Suneeta Ramaswami
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 202 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0196-6774
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โฆ Synopsis
We provide improved approximation algorithms for several rectangle tiling and packing problems (RTILE, DRTILE, and d-RPACK) studied in the literature. Most of our algorithms are highly efficient since their running times are near-linear in the sparse input size rather than in the domain size. In addition, we improve the best known approximation ratios.
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