Comparing the optimal performance of different MIMD multiprocessor architectures

Document type: Conference Papers
Peer reviewed: Yes
Author(s): Lars Lundberg, Håkan Lennerstad
Title: Comparing the optimal performance of different MIMD multiprocessor architectures
Conference name: 12th International Parallel Processing Symposium
Year: 1998
Pagination: xxv+809, 498-502
ISBN: 0818684046
Publisher: IEEE Comput. Soc
City: Orlando, FL, USA
ISI number: 000073316800077
Organization: Blekinge Institute of Technology
Department: Dept. of Computer Science and Business Administration (Institutionen för datavetenskap och ekonomi)
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+46 455 780 00
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Authors e-mail: lars.lundberg@ide.hk-r.se
Language: English
Abstract: We compare the performance of systems consisting of one large cluster containing
q processors with systems where processors are grouped into k clusters containing u
processors each. A parallel program, consisting of n processes, is executed on this system.
Processes may be relocated between the processors in a cluster. They may,however not be
relocated from one cluster to another. The performance criterion is the completion time of
the parallel program. We present two functions: g(n,k,u,q) and G(k,u,q). Provided that we can
find optimal or near optimal schedules,these functions put optimal upper bounds on the gain of
using one cluster containing q processors compared to using k clusters containing u processors
each. The function g(n,k,u,q) is valid for programs with n processes, whereas G(k,u,q) only
depends on the two multiprocessor architectures. By evaluating g(n,k,u,q) and G(k,u,q) we show
that the gain of increasing the cluster size from 1 to 2 and from 2 to 4 is relatively large.
However, the gain of using clusters larger than 4 is very limited.
Subject: Computer Science\Computersystems
Computer Science\Distributed Computing
Mathematics\Discrete Mathematics
Keywords: multiprocessing systems, parallel architectures, parallel programming, performance evaluation, processor scheduling
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