A parallel optimization algorithm for minimum execution‐time multiprocessor scheduling problem

Hironori Kasahara*, Atsusi Itoh, Hisamitsu Tanaka, Keisuke Itoh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


This paper proposes a parallel optimization algorithm PDF/IHS for the minimum execution‐time multiprocessor scheduling problem which is a strong NP‐hard optimization problem. PDF/IHS is a parallelization and efficient implementation of the only practical optimization algorithm DF/IHS among those which have been proposed for this scheduling problem. In PDF/IHS, processors perform depth‐first search in parallel on a heuristically generated search tree in such a way that it is searched hierarchically from the left‐ and right‐hand sides. The effectiveness of PDF/IHS has been verified by simulation and practical parallel processing on Alliant FX4. As a result, it has been recognized that most of the problems which required a long time by DF/IHS can be solved approximately in time 1/m by PDF/IHS using m processors. Moreover, even for a problem which required a very long time or could not be solved in a practical time by DF/IHS, it has been verified that PDF/IHS can give solutions in time less than 1/m.

Original languageEnglish
Pages (from-to)54-65
Number of pages12
JournalSystems and Computers in Japan
Issue number13
Publication statusPublished - 1992


  • NP‐hard practical algorithm
  • Scheduling
  • branch and bound
  • multiprocessor super‐linear speedup
  • parallel search

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Hardware and Architecture
  • Computational Theory and Mathematics


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