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Th`ese de Doctorat de l'université Paris VI Pierre et Marie Curie Mlle ...

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4.2 Connections Classification . . . . . . . . . . . . . . . . . . . . . . . . . . . 39<br />

4.3 N<strong>et</strong>work Revenue Definition . . . . . . . . . . . . . . . . . . . . . . . . . . 39<br />

5 Dynamic Bandwidth Allocation Algorithms 41<br />

5.1 Proposed Dynamic Bandwidth Allocation algorithms . . . . . . . . . . . . 42<br />

5.2 Convergence Property . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48<br />

6 Mathematical Mo<strong>de</strong>l 51<br />

6.1 Problem Statement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52<br />

6.2 I<strong>de</strong>al Bandwidth Allocation (IBA) . . . . . . . . . . . . . . . . . . . . . . . 53<br />

7 Numerical Results 55<br />

7.1 Performance M<strong>et</strong>rics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56<br />

7.2 N<strong>et</strong>work Scenarios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56<br />

7.2.1 Single-Bottleneck Scenario . . . . . . . . . . . . . . . . . . . . . . . 56<br />

7.2.2 Simple Core N<strong>et</strong>work Scenario . . . . . . . . . . . . . . . . . . . . . 66<br />

7.2.3 Multi-Bottleneck Scenario . . . . . . . . . . . . . . . . . . . . . . . 66<br />

7.2.4 Complex Core N<strong>et</strong>work Scenario . . . . . . . . . . . . . . . . . . . . 69<br />

8 Performance Upper Bound 75<br />

8.1 Simulation results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75<br />

8.2 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77<br />

9 Conclusion 83<br />

9.1 Discussion and Concluding Remarks . . . . . . . . . . . . . . . . . . . . . 83<br />

9.2 Future Research Issues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84<br />

References 87

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