本篇論文是在研究多速率多頻道的無線網路環境中，如何透過良好的頻道分配演算法來改善網路容量和網路吞吐量。我們一開始先建立最大化網路容量的網路模型，並將這個網路模型推導成最大權重獨立集合問題。接著，在少數節點網路環境下，我們運用整數規劃程式來解出最佳解答，用於和我們提出的方法所得的解答做比較，我們提出一些有效率的最大化網路容量頻道分配演算法。
在多速率的網路環境中，高速網路鏈接和低速網路鏈結之間的干擾是使得網路吞吐量下降的主要因素。我們計算網路鏈結之間的干擾，推導出一些有用的屬性來達成最大化網路吞吐量，並提出一個線性時間頻道分配演算法。模擬實驗的結果顯示我們所提出的演算法在運算效率和解答的品質上是優越的。

This dissertation studies the improvement of network capacity and network throughput through well-designed channel assignment algorithms in multi-rate multi-channel wireless networks. We first model the maximizing network capacity problem and reduce the problem to the maximum weight independent set problem. Subsequently, the integer programming is applied to a smaller size of network to obtain the optimal solution for the comparison with our method. We propose some efficient channel assignment algorithms to maximize network capacity.
The interference between higher and lower data rate links is a notorious factor against the improvement of network throughput in multi-rate wireless networks. We include the interference calculation to derive useful properties in achieving the maximum network throughput, and develop a linear-time channel assignment algorithm accordingly. Experimental results exhibit our algorithms are outstanding in both computing efficiency and solution quality.

摘　要 i
Abstract ii
Contents iii
List of Figures iv
List of Tables v
Chapter 1 Introduction 1
Chapter 2 Related Works 6
Chapter 3 The Problem 11
3.1 Network Model 11
3.2 Maximizing Network Capacity Problem 12
3.3 Maximizing Network Throughput Problem 15
Chapter 4 My Idea 17
Chapter 5 Maximizing Capacity Channel Assignment 20
5.1 Bit Strings Pruning Method 20
5.2 Bit Strings Pruning Channel Assignment 29
5.3 Partial Bit Strings Pruning Method 30
5.4 Partial Bit Strings Pruning Channel Assignment 35
5.5 H-links First Channel Assignment 36
Chapter 6 Maximizing Throughput Channel Assignment 38
6.1 Theoretical Results 38
6.2 Top (K−1) Full-Speed Channel Assignment 42
Chapter 7 Simulations 44
Chapter 8 Conclusions and Future Work 53
Bibliography 54
Appendix 62

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