### Abstract

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 language | English |
---|---|

Pages (from-to) | 54-65 |

Number of pages | 12 |

Journal | Systems and Computers in Japan |

Volume | 23 |

Issue number | 13 |

Publication status | Published - 1992 |

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### ASJC Scopus subject areas

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

### Cite this

*Systems and Computers in Japan*,

*23*(13), 54-65.

**Parallel optimization algorithm for minimum execution-time multiprocessor scheduling problem.** / Kasahara, Hironori; Itoh, Atsusi; Tanaka, Hisamitsu; Itoh, Keisuke.

Research output: Contribution to journal › Article

*Systems and Computers in Japan*, vol. 23, no. 13, pp. 54-65.

}

TY - JOUR

T1 - Parallel optimization algorithm for minimum execution-time multiprocessor scheduling problem

AU - Kasahara, Hironori

AU - Itoh, Atsusi

AU - Tanaka, Hisamitsu

AU - Itoh, Keisuke

PY - 1992

Y1 - 1992

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0027003621&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027003621&partnerID=8YFLogxK

M3 - Article

VL - 23

SP - 54

EP - 65

JO - Systems and Computers in Japan

JF - Systems and Computers in Japan

SN - 0882-1666

IS - 13

ER -