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The Problem of Scheduling Multiple Groups of Jobs on Multiple Processors at Different Speeds
Author(s) -
Wei Ding
Publication year - 2012
Publication title -
advances in operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.379
H-Index - 14
eISSN - 1687-9155
pISSN - 1687-9147
DOI - 10.1155/2012/748597
Subject(s) - scheduling (production processes) , computer science , job shop scheduling , mathematical optimization , parallel computing , mathematics , embedded system , routing (electronic design automation)
We mainly study the max problem of scheduling n groups of jobs on n special-purpose processors and m general-purpose processors at different speeds provided that the setup time of each job is less than times of its processing time. We first propose an improved LS algorithm. Then, by applying this new algorithm, we obtain two bounds for the ratio of the approximate solution LS to the optimal solution T* under two different conditions.

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