Graham's Schedules and the Number Partition Problem

Seenu S. Reddi

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arXiv · 0808.1119

Graham's Schedules and the Number Partition Problem

Seenu S. Reddi

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Abstract

We show the equivalence of the Number Partition Problem and the two processor scheduling problem. We establish a priori bounds on the completion times for the scheduling problem which are tighter than Graham's but almost on par with a posteriori bounds of Coffman and Sethi. We conclude the paper with a characterization of the asymptotic behavior of the scheduling problem which relates to the spread of the processing times and the number of jobs.

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Seenu S. Reddi. 2008-08-07. Graham's Schedules and the Number Partition Problem. https://arxiv.org/abs/0808.1119

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