Semi on-line scheduling on three processors with known sum of the tasks

Semi on-line scheduling on three processors with known sum of the tasks

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Article ID: iaor20083050
Country: United Kingdom
Volume: 10
Issue: 4/5
Start Page Number: 263
End Page Number: 269
Publication Date: Oct 2007
Journal: Journal of Scheduling
Authors: , ,
Abstract:

We consider a semi on-line version of the multiprocessor scheduling problem on three processors, where the total size of the tasks is known in advance. We prove a lower bound 1 + (√(129)−9)/6 > 1.3929 on the competitive ratio of any algorithm and propose a simple algorithm with competitive ratio equal to 1.5. The performance is improved to 1 + (8/19) < 1.4211 by a preprocessing strategy. The latter algorithm is only 2% away from the lower bound.

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