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Decomposition of data flow graphs on multiprocessors

Published: 13 June 1977 Publication History

Abstract

Methodologies are presented for decomposing algorithms on a classical multiprocessor. The class of algorithms considered are those that can be represented as data flow graphs without decision elements. Two passive sonar signal processing modes are used as detailed examples. Decompositions are performed by modeling data memory bandwidth and data memory interference as the primary constraints on execution speed. Algorithms with low interference between data flow graph nodes require only simple models of memory interference to be successfully decomposed. For high interference algorithms the memory interference can be (1) modeled using a linear model of interference, (2) modeled by a queuing network of exponential servers which is solved computationally, or (3) modeled exactly and then simulated. These three techniques give estimates of the aggregate effect of memory interference to be factors of 10.9, 2.11, and 1.82, respectively (the latter being the most accurate).

References

[1]
Wulf, W. A. and C. G. Bell, "C.MMP---A Multi-Mini-Processor", AFIPS Conference Proceedings, Vol. 41, 1972, pp. 765--777.
[2]
Heart, F. E., S. M. Ornstein, W. R. Crowther, and W. B. Barker, "A new Minicomputer/multiprocessor for the ARPA network", AFIPS Conference Proceedings, Vol. 42, NCC 1973, pp. 529--537.
[3]
Baer, J. L., "A Survey of Some Theoretical Aspects of Multiprocessing", Computing Surveys, Vol. 5, No. 1, March 1973.
[4]
Siewiorek, D. P., W. C. Brantley, and G. W. Leive, "Modeling Multi-processor Implementations of Passive Sonar Signal Processing", Final Report---NRL Contract Number N00173-76-C-0048, Carnegie-Mellon University, Pittsburgh, Pa., October 1975.
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Allen, Jonathan, "Computer Architecture for Signal Processing", Proc. of IEEE, Vol. 55, No. 12, December 1967.
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Smith, H. H. and L. E. Russo, "Microprogrammed Benchmarks for the Signal Processing Arithmetic Unit for the AN/UYK-17(XB-1)(V) Signal Processing Element", Naval Research Laboratory Report No. 7831, January 29, 1975.
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Froscher, Judith N., "Evaluation of Algorithms for Linear Beamforming on the AN/UYK-17 (XB-1)(V) Signal Processing Element", Naval Research Laboratory, January 1975.
[8]
Shay, Barry P., "Design Considerations of a Programmable Prediction Digital Signal Processor for Radar Application", Naval Research Laboratory, NRL-7455, December 1972.
[9]
Buzen, Jeffrey P., "Computational Algorithms for Closed Queuing Networks with Exponential Servers", CACM, Vol. 16, No. 9, September 1973, pp. 527--531.

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cover image ACM Other conferences
AFIPS '77: Proceedings of the June 13-16, 1977, national computer conference
June 1977
1039 pages
ISBN:9781450379144
DOI:10.1145/1499402
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

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Published: 13 June 1977

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