Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
A SELECTING METHOD OF REASONABLE NON-DOMINATED SCHEDULES ON OPEN SHOP
Sangsu Han
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2009 Volume 69 Issue 2 Pages 271-276

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Abstract
In this research, a selection method of non-dominated schedules is investigated on m machines open shop scheduling problem with maximum completion times for each of machines as multiobjective. In formulation of the problem, we introduce a concept of schedule vector and lexicographic ordering based on burdened machine. For this problem, the aim is to find a preemptive schedule that lexicographically minimizes the maximum completion times Cmaxi, i = 1, 2, · · · ,m on m machines Mi, respectively. We propose a flexible algorithm and discuss its validity and computational complexity.
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© 2009 International Society for Mathematical Sciences
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