TY - JOUR

T1 - A 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.

KW - NP‐hard practical algorithm

KW - Scheduling

KW - branch and bound

KW - multiprocessor super‐linear speedup

KW - parallel search

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U2 - 10.1002/scj.4690231305

DO - 10.1002/scj.4690231305

M3 - Article

AN - SCOPUS:0027003621

SN - 0882-1666

VL - 23

SP - 54

EP - 65

JO - Systems and Computers in Japan

JF - Systems and Computers in Japan

IS - 13

ER -