On the existence of schedules that are near-optimal for both makespan and total weighted completion time

On the existence of schedules that are near-optimal for both makespan and total weighted completion time

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Article ID: iaor2000835
Country: Netherlands
Volume: 21
Issue: 3
Start Page Number: 115
End Page Number: 122
Publication Date: Oct 1997
Journal: Operations Research Letters
Authors: ,
Abstract:

We give a simple proof that, for any instance of a very general class of scheduling problems, there exists a schedule of makespan at most twice that of the optimal possible and of total weighted completion time at most twice that of the optimal possible. We then refine the analysis, yielding variants of this theorem with improved constants, and give some algorithmic consequences of the technique.

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