Abstract
Machines with distributed memory have the mapping problem — assigning processes to processors. In this paper we define the mapping problem as an optimization problem and discuss the question, how far is an optimum solution from an average or random solution.
The term robustness is introduced and explained in detail with two examples, the SUPRENUM and the Hypercube architecture. For the SUPRENUM architecture we show that a simple mapping strategy (optimal clustering of the processes) gives almost as good results as the optimal mapping. Optimal mapping is more important for the Hypercube architecture.
Mapping strategies are difficult to apply for inhomogeneous networks. For this networks adaptive routing seems promising.
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References
R. K. Arora, S. P. Rana, Heuristic Algorithms for Process Assignment in Distributed Computing Systems, Information Processing Letters 11 (12/80) 199–203
P. M. Behr, W. K. Giloi, H. Mühlenbein, SUPRENUM: The German Supercomputer Project — Rationale and Concepts, IEEE Internat. Conference on Parallel Processing (1986)
S. H. Bokhari, On the Mapping Problem, IEEE Transaction on Computers C-30 No. 3 (1981) 207–214
J. E. Brandenburg, D. E. Scott, Embedding of Communication Trees and Grids into Hypercubes, Intel iPSC User Group No. 1 (1986)
W. W. Chu, L. J. Holloway, M. T. Lan, K. Efe, Task Allocation in Distributed Data Processing, Computer (11/80) 57–69
W. J. Dally, Ch. L. Seitz, The Torus Routing Chip, Distributed Computing 1 (1986) 187–196
A. K. Ezzat, R. D. Bergeron, J. L. Pokoski, Task Allocation Heuristics for Distributed Computing Systems, IEEE Int. Conf. on Distributed Systems (1986)
C. E. Houstis, E. N. Houstis, J. R. Rice, Partitioning PDE Computations: Methods and Performance Evaluation, Report Purdue University (1986)
H. C. Hoppe, H. Mühlenbein, Parallel Adaptive Full-Multigrid-Methods on Messagebased Multiprocessors, Parallel Computing 3 (1986) 269–287
R. W. Hockney, MIMD computing in the USA — 1984, Parallel Computing 2 (1985) 119–136
J. P. Hages, T. Mudge, Q. M. Stow, S. Colley, J. Palmer, A Microprocessor based Hypercube Supercomputer, IEEE Micro, Vol. 6, No. 5 (1986)
M. A. Marsan, G. Balbo, G. Conte, Comparative performance analysis of single bus multiprocessor architectures, IEEE Trans. Computers, C-31 (1983) 1179–1191
H. Mühlenbein, M. Gorges-Schleuter, O. Krämer, New Solutions to the Mapping Problem of Parallel Systems — The Evolution Approach, Parallel Computing, to be published (1987)
H. Mühlenbein, O. Krämer, Parallel Solutions of the Graph Partitioning Problem, to be published
H. Mühlenbein, O. Krämer, F. Limburger, M. Mevenkamp, S. Streitz, Design and Rationale for MUPPET — A Programming Environment for Message-Based Multiprocessors, Journal of Parallel and Distr. Proc., to be published
D. Nicol, J. Saltz, Dynamic Remapping of Parallel Computations with Varying Resource Demands, ICASE Report 86–45, Nasa Langley (1986)
C. Saito, H. Amano, T. Kudoh, H. Aiso, An adaptable cluster structure of (SM) 2 -II, CONPAR 86, Aachen (9/86) 53–60
Y. Saad, M. H. Schultz, Topological Properties of Hypercubes, Research Report RR-389 Yale University (6/85)
K. Schwans, C. Gaimon, Automatic Resource allocation for the CM* Multiprocessor, 5th Distr. Comp. Conf. (1985)
K. Schwans, A. K. Jones, Specifying Resource Allocation for Parallel Programs on the CM* Multiprocessor, Ohio State University, OSU-CISRC-TR-85-10 (1985)
L. Snyder, Introduction to the Configurable, Highly Parallel Computer, Computer 15 (2/82) 47–56
J. D. Ullman, Computational aspects of VLSI, Computer Science Press (1984)
J. D. Ullman, Some thoughts about Supercomputer Organization, Proc. IEEE Compcon, San Francisco (1984) 424–431
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© 1987 Springer-Verlag Berlin Heidelberg
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Krämer, O., Mühlenbein, H. (1987). Mapping strategies in message based multiprocessor systems. In: de Bakker, J.W., Nijman, A.J., Treleaven, P.C. (eds) PARLE Parallel Architectures and Languages Europe. PARLE 1987. Lecture Notes in Computer Science, vol 258. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17943-7_130
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DOI: https://doi.org/10.1007/3-540-17943-7_130
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