由於EPON/WiMAX整合型網路結合乙太被動式光纖網路以及全球互通微波存取網路各自的優點，如高頻寬、低維護成本和行動性，因此可以提供網路使用者在任何時間和任何地點與網路同步的好處，使得EPON/WiMAX整合型網路在下一代接取網路中已成為一個具有潛力的網路架構。然而，EPON和WiMAX這兩種不同網路類型都有各自的傳輸模式，所以如何在兩種不同的網路類型之間，有效地利用現有的上傳頻寬提供給使用者是目前亟欲解決的問題之ㄧ。因此，目前已有數篇針對EPON/WiMAX整合型網路之動態頻寬分配演算法提出，其中固定時間框架之動態頻寬分配輪詢機制不僅可以支援異質性資料的傳輸並且可將現有上傳頻寬有效地分配在EPON和WiMAX網路之中。此動態頻寬分配輪詢機制採用固定時間框架的方法，意即將時間同步切割成多個連續時框。在每個時間框架裡，不僅保證兩種不同網路類型的資料可以獲得足夠的上傳頻寬進行傳送之外，亦可達到最大網路頻寬使用效率。本碩士論文基於此，欲針對固定時間框架之動態頻寬分配輪詢機制提出一個M/G/1排隊理論模型分析架構去評估分析此動態頻寬分配演算法的平均封包延遲時間，並藉由所提出的數學分析模型去驗證固定時間框架之動態頻寬分配輪詢機制之可行性及正確性，證明在EPON/WiMAX整合型網路上採取固定時間框架之動態頻寬分配輪詢機制可提供最好的網路效能。最後，藉由一系列的電腦模擬去驗證所提出分析架構的
正確性和準確性，透過模擬結果可發現使用此數學架構所預估的延遲時間和電腦模擬執行出來的結果互相吻合。

The integrated EPON/WiMAX access networks combine the complementary advantages of EPON and WiMAX access networks, such as high bandwidth, low maintenance cost and mobility. Thus, it can provide the end users to achieve “anytime” and “anywhere” to access the internet. This is the reason why the integrated EPON/WiMAX access networks have been regarded as the potential network architecture for the next generation access networks. However, before deploying the integrated EPON/WiMAX access network, the effective bandwidth allocation between the heterogeneous networks remains an important problem to be resolved. Several Dynamic Bandwidth Allocation (DBA) schemes have been proposed to solve the problem to allocate bandwidth effectively in this network. Among these DBA schemes, the Frame-Based DBA (FB-DBA) scheme has been shown to effectively and dynamically allocate bandwidth to support a seamless integration of the EPON and WiMAX access networks. FB-DBA adopts a framed approach, in which the time domains of EPON and WiMAX access networks are synchronously partitioned to successive frames with a fixed length. Within each frame of EPON and WiMAX domains, heterogeneous traffic is guaranteed of sufficient network resource for transmissions while maximizing the bandwidth utilization. The thesis developed an M/G/1 queueing model to analyze the mean packet delay of the FB-DBA scheme. The correctness and accuracy of the proposed analytical model is verified by performing a series of computer simulations. The analytical results derived by using this model for the mean packet delay is found to be in a good agreement with those obtained from computer simulations.

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