O n -competitive algorithm. In addition, trying to overcome the โ n lower bound for the case of unknown task duration, this paper initiates a study of the ลฝ load balancing problem for tasks with known duration i.e., the duration of a task . ลฝ . becomes known upon its arrival . For this case we show
On-Line Load Balancing for Related Machines
โ Scribed by Piotr Berman; Moses Charikar; Marek Karpinski
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 105 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
โฆ Synopsis
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 q 8 f 5.828 for the deterministic version, and 3.31rln 2.155 f 4.311 for its randomized variant, improving the previous competitive ratios of 8 and 2 e f 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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