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Conference Paper

Routing on the PADAM: Degrees of Optimality

MPS-Authors
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Chlebus,  Bogdan S.
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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Czumaj,  Artur
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

Sibeyn,  Jop F.
Max Planck Society;

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https://rdcu.be/dwjq8
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Citation

Chlebus, B. S., Czumaj, A., & Sibeyn, J. F. (1997). Routing on the PADAM: Degrees of Optimality. In C. Lengauer, M. Griebl, & S. Gorlatch (Eds.), Euro-Par'97 Parallel Processing (pp. 272-279). Berlin: Springer.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-3998-B
Abstract
Routing problems are studied for the Parallel Alternating-Direction
Access Machine.
The goal is to investigate what level of
optimality can be achieved depending on loads of packets per memory unit.
In the case of typical moderate loads, our algorithms are optimal
to within a small multiplicative constant; a deterministic and a
randomized algorithm are developed,
both faster than the best previously known routing algorithm.
Moreover, for sufficiently large loads, an algorithm which misses optimality
by only an additive lower-order term is designed.
We consider also off-line routing problems, and multidimensional
extension of the model.