Self-simulation for the passive optical star model

P. Berthomé; Th H. Duboux; T. Hagerup; I. Newman; A. Schuster

doi:10.1007/3-540-60313-1_156

Self-simulation for the passive optical star model

P. Berthomé, Th H. Duboux, T. Hagerup, I. Newman, A. Schuster

Department of Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In the context of parallel computing, optical technology offers simple interconnection schemes with straightforward layouts that support complex logical interconnection patterns. The Passive Optical Star (POS) is often suggested as a platform for implementing the optical network: logically it offers an all-to-all broadcast capability. We investigate the self-simulation or scalability properties of the POS. A family of parallel machines is said to be self-simulating or scalable if reducing the number of processors by a factor of k (by going to a smaller member of the family) increases the computation time by a factor of (the optimal) O(k). We present a randomized algorithm for an n-processor POS that simulates a kn-processor POS with a slowdown of O(k + log*n) using local control only, thus coming close to the self-simulation ideal of O(k). We also analyze direct algorithms that send messages directly from their origin to their destination; for this case we prove that Ө(k²) is the exact complexity.

Original language	English
Title of host publication	Algorithms - ESA 1995 - 3rd Annual European Symposium, Proceedings
Editors	Paul Spirakis
Publisher	Springer Verlag
Pages	369-380
Number of pages	12
ISBN (Print)	3540603131, 9783540603139
DOIs	https://doi.org/10.1007/3-540-60313-1_156
State	Published - 1995
Event	3rd Annual European Symposium on Algorithms, ESA 1995 - Corfu, Greece Duration: 25 Sep 1995 → 27 Sep 1995

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	979
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	3rd Annual European Symposium on Algorithms, ESA 1995
Country/Territory	Greece
City	Corfu
Period	25/09/95 → 27/09/95

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 1995.

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science (all)

Access to Document

10.1007/3-540-60313-1_156

Cite this

Berthomé, P., Duboux, T. H., Hagerup, T., Newman, I., & Schuster, A. (1995). Self-simulation for the passive optical star model. In P. Spirakis (Ed.), Algorithms - ESA 1995 - 3rd Annual European Symposium, Proceedings (pp. 369-380). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 979). Springer Verlag. https://doi.org/10.1007/3-540-60313-1_156

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abstract = "In the context of parallel computing, optical technology offers simple interconnection schemes with straightforward layouts that support complex logical interconnection patterns. The Passive Optical Star (POS) is often suggested as a platform for implementing the optical network: logically it offers an all-to-all broadcast capability. We investigate the self-simulation or scalability properties of the POS. A family of parallel machines is said to be self-simulating or scalable if reducing the number of processors by a factor of k (by going to a smaller member of the family) increases the computation time by a factor of (the optimal) O(k). We present a randomized algorithm for an n-processor POS that simulates a kn-processor POS with a slowdown of O(k + log*n) using local control only, thus coming close to the self-simulation ideal of O(k). We also analyze direct algorithms that send messages directly from their origin to their destination; for this case we prove that Ө(k2) is the exact complexity.",

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Berthomé, P, Duboux, TH, Hagerup, T, Newman, I & Schuster, A 1995, Self-simulation for the passive optical star model. in P Spirakis (ed.), Algorithms - ESA 1995 - 3rd Annual European Symposium, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 979, Springer Verlag, pp. 369-380, 3rd Annual European Symposium on Algorithms, ESA 1995, Corfu, Greece, 25/09/95. https://doi.org/10.1007/3-540-60313-1_156

Self-simulation for the passive optical star model. / Berthomé, P.; Duboux, Th H.; Hagerup, T. et al.
Algorithms - ESA 1995 - 3rd Annual European Symposium, Proceedings. ed. / Paul Spirakis. Springer Verlag, 1995. p. 369-380 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 979).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - In the context of parallel computing, optical technology offers simple interconnection schemes with straightforward layouts that support complex logical interconnection patterns. The Passive Optical Star (POS) is often suggested as a platform for implementing the optical network: logically it offers an all-to-all broadcast capability. We investigate the self-simulation or scalability properties of the POS. A family of parallel machines is said to be self-simulating or scalable if reducing the number of processors by a factor of k (by going to a smaller member of the family) increases the computation time by a factor of (the optimal) O(k). We present a randomized algorithm for an n-processor POS that simulates a kn-processor POS with a slowdown of O(k + log*n) using local control only, thus coming close to the self-simulation ideal of O(k). We also analyze direct algorithms that send messages directly from their origin to their destination; for this case we prove that Ө(k2) is the exact complexity.

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Berthomé P, Duboux TH, Hagerup T, Newman I, Schuster A. Self-simulation for the passive optical star model. In Spirakis P, editor, Algorithms - ESA 1995 - 3rd Annual European Symposium, Proceedings. Springer Verlag. 1995. p. 369-380. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-60313-1_156

Self-simulation for the passive optical star model

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