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### Paper:

TR00-001 | 14th January 2000 00:00

#### On-Line Load Balancing for Related Machines

TR00-001
Authors: Piotr Berman, Moses Charikar, Marek Karpinski
Publication: 14th January 2000 15:36
Keywords:

Abstract:

We consider the problem of scheduling permanent jobs on related machines
in an on-line fashion. We design a new algorithm that achieves the
competitive ratio of $3+\sqrt{8}\approx 5.828$ for the deterministic
version, and $3.31/\ln 2.155 \approx 4.311$ for its randomized variant,
improving the previous competitive ratios of 8 and $2e\approx 5.436$.
We also prove lower bounds of 2.4380 on the competitive ratio of
deterministic algorithms and 1.8372 on the competitive ratio of
randomized algorithms for this problem.

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