| Abstract | .... 2 | |
| Key words | .... 2 | |
| 1 | Introduction | .... 2 |
| 2 | Dynamic Load Balancing Scheme | .... 3 |
| 2.1 | Assumptions for problems | .... 3 |
| 2.2 | Single-level load balancing scheme | .... 3 |
| 2.3 | Tuning the granularity | .... 3 |
| 2.4 | Bottleneck in speedup | .... 4 |
| 2.5 | Multi-level load balancing scheme | .... 4 |
| 3 | Model of Dynamic Load Balancing | .... 4 |
| 3.1 | Model of single-level dynamic load balancing | .... 4 |
| 3.2 | Basic assumptions | .... 5 |
| 4 | Analysis of the Single-Level Dynamic Load Balancing | .... 6 |
| 4.1 | Deterministic case | .... 6 |
| 4.2 | Exponential case | .... 6 |
| 4.3 | General case | .... 7 |
| 5 | Isoefficiency Analysis of the Multi-Level Dynamic Load Balancing | .... 8 |
| 6 | Conclusions | .... 9 |
| Acknowledgments | .... 9 | |
| Appendix : A Proof Sketch of Equation(1) | .... 9 | |
| References | .... 9 |
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