Load Partitioning and Trade-Off Study for Large Matrix-Vector Computations in Multicast Bus Networks with Communication Delays

Debasish Ghose, Hyoung Joong Kim

Research output: Contribution to journalArticlepeer-review

36 Citations (Scopus)

Abstract

In this paper we consider the problem of computing a large matrix-vector product in a network-based distributed computing environment comprising computers equipped with communication co-processors that may be used for communication off-loading. Communication delays, which are significant in such systems, are specifically taken into account. The important contribution of this study is to show that the optimal load partitioning, and the subsequent performance of the network, depends critically on many network parameters and load characteristics. In particular, it is shown that the size of the load plays an important role in determining the performance of the network. We consider only row-wise striping of the matrix in order to better allocate the computational burden among the processors. We derive closed-form solutions to the optimal load partitioning problem and show the existence of optimal load sharing conditions. An important and practically relevant trade-off study, from the architecture point of view, between the number of processors and the bus bandwidth is presented. Several practical load distribution strategies are considered and complete analyses for each of them is presented

Original languageEnglish
Pages (from-to)32-59
Number of pages28
JournalJournal of Parallel and Distributed Computing
Volume55
Issue number1
DOIs
Publication statusPublished - 1998 Nov 25

Bibliographical note

Funding Information:
The work reported in the paper was supported by Nondirected Research Fund, Korea Research Foundation, in 1996. It was also partially supported by the Korea Telecom Research Laboratories while the first author was visiting the Kangwon National University. The authors are grateful to Mr. J. K. Anand, graduate student, Department of Aerospace Engineering, Indian Institute of Science, and Mr. H.W. Kim, graduate student, Department of Control and Instrumentation Engineering, Kangwon National University, Korea, for their expert assistance in generating the plots. The authors also appreciate the many constructive comments of the reviewers which helped in carrying out a meaningful revision of the paper.

Copyright:
Copyright 2004 Elsevier Science B.V., Amsterdam. All rights reserved.

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Hardware and Architecture
  • Computer Networks and Communications
  • Artificial Intelligence

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