在這篇論文當中，針對單一接收端，多個傳送端的分散式無線感測網路環境，並且考慮同時多封包接收能力，以分裂樹演算法為基礎，提出一個節省能源消耗的策略。我們專注於佇列容量為1的系統。對於單一接收端，多個傳送端，採用分裂樹演算法來做為解決碰撞機制的無線網路，本篇論文同時採取數學理論與實際模擬兩種分析方式。在理論分析上，我們應用了馬可夫鏈理論來分析系統狀態的發展，此外我們也使用Renewal理論來計算出封包輸出量。此外，在模擬實驗當中也對平均系統容量、平均封包延遲、封包阻斷機率等系統效能指標做統計。由於網路是一個分散式系統，無法隨時了解系統的狀態，我們以前一個解決碰撞循環的長度，來預估下一個解決碰撞循環的長度，藉此來決定進入睡眠狀態的時間長度，來達成節省能源消耗的機制。最後會以模擬的方式來展示我們提出的節省能源消耗機制的效能。

In this thesis, we propose a power saving strategy based on tree splitting algorithm in wireless sensor network with multiple packet reception. We concentrate on the case that maximum queue size is 1. We derive both analytical results and simulation results. We use theory of Markov chain to analyze the evolution of the system state. In addition, we propose to use Renewal theory to calculate the throughput. Furthermore, we obtain the average system size, the packet blocking probability, and the average packet delay. Because the network model is distributed, we can’t understand the state of network all the time. So we use the length of last collision resolution cycle to predict the length of next cycle, and determine the sleeping time by the predicted length of next cycle to implement power saving. At last we will use the simulation result to show the performance of our power saving strategy.

第一章 緒論 4
1-1無線網路介紹 4
1-2研究動機 5
1-3文章組織 7
第二章 分裂樹演算法介紹 8
2-1演算法簡介 8
2-2演算法效能評估 12
第三章 多循環分析模型與效能分析 15
3-1系統狀態建立 15
3-2狀態轉移機率 16
3-3穩定狀態之機率分布 17
3-4封包輸出量 19
3-5封包阻斷機率 23
3-6平均系統容量 24
3-7平均封包延遲 29
第四章 節省能源消耗策略 32
4-1能源消耗機制 32
4-2以CRC長度為狀態的馬可夫鏈 32
4-3節省能源消耗之策略 33
第五章 節能機制之模擬結果展示 38
5-1理論與模擬之方法 38
5-2模擬程式參數 38
5-3結果展示與分析 39
第六章 總結 50
參考文獻 52

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