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Towards practical permutation routing on meshes

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons44745

Kaufmann,  Michael
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons45038

Meyer,  Ulrich
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons45478

Sibeyn,  Jop Frederic
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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MPI-I-94-153.pdf
(Any fulltext), 187KB

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Citation

Kaufmann, M., Meyer, U., & Sibeyn, J. F.(1994). Towards practical permutation routing on meshes (MPI-I-94-153). Saarbrücken: Max-Planck-Institut für Informatik.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0014-B53F-0
Abstract
We consider the permutation routing problem on two-dimensional $n \times n$ meshes. To be practical, a routing algorithm is required to ensure very small queue sizes $Q$, and very low running time $T$, not only asymptotically but particularly also for the practically important $n$ up to $1000$. With a technique inspired by a scheme of Kaklamanis/Krizanc/Rao, we obtain a near-optimal result: $T = 2 \cdot n + {\cal O}(1)$ with $Q = 2$. Although $Q$ is very attractive now, the lower order terms in $T$ make this algorithm highly impractical. Therefore we present simple schemes which are asymptotically slower, but have $T$ around $3 \cdot n$ for {\em all} $n$ and $Q$ between 2 and 8.