We design a general mathematical framework to analyze the properties of nearest neighbor balancing algorithms of the diusion type. Within this framework we develop a new Optimal Polynomial Scheme (OPS) which we show to terminate within a ยฎnite number m of steps, where m only depends on the graph and
โฆ LIBER โฆ
Analysis of nearest neighbor load balancing algorithms for random loads
โ Scribed by Peter Sanders
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 280 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0167-8191
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โฆ Synopsis
Nearest neighbor load balancing algorithms, like diusion, are popular due to their simplicity, ยฏexibility, and robustness. We show that they are also asymptotically very ecient when a random rather than a worst case initial load distribution is considered. We show that diusion needs Hlog n 2ad balancing time on a d-dimensional mesh network with n d processors. Furthermore, some but not all of the algorithms known to perform better than diffusion in the worst case also perform better for random loads. We also present new results on worst case performance regarding the maximum load deviation.
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