Mapping and Load-Balancing Iterative Computations on Heterogeneous Clusters

  • Arnaud Legrand
  • Hélène Renard
  • Yves Robert
  • Frédéric Vivien
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2840)

Abstract

This paper is devoted to mapping iterative algorithms onto heterogeneous clusters. The application data is partitioned over the processors, which are arranged along a virtual ring. At each iteration, independent calculations are carried out in parallel, and some communications take place between consecutive processors in the ring. The question is to determine how to slice the application data into chunks, and to assign these chunks to the processors, so that the total execution time is minimized. One major difficulty is to embed a processor ring into a network that typically is not fully connected, so that some communication links have to be shared by several processor pairs. We establish a complexity result that assesses the difficulty of this problem, and we design a practical heuristic that provides efficient mapping, routing, and data distribution schemes.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Arnaud Legrand
    • 1
  • Hélène Renard
    • 1
  • Yves Robert
    • 1
  • Frédéric Vivien
    • 1
  1. 1.LIPUMR CNRS-INRIA-UCBL 5668, École Normale Supérieure de LyonFrance

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