這篇論文主要探討在無線感測網路下，多個感測器有多個資料要散佈至網路中所有節點的廣播效率問題。我們利用網路編碼(network coding)的技術以及提出一套預防死結(deadlock-prevention)發生的機制使得整體的傳輸次數可以大幅地降低，進而讓整體網路有效率的傳輸。我們主要的貢獻如下：第一點，我們將多對全(many-to-all)的最小廣播傳輸問題定義清楚，並將此問題轉化為整數線性規畫(integer linear programming, ILP)可以解的問題。而使用ILP獲得的解可以視為我們所要探討的最少傳輸次數的下界；第二點是我們對此問題結合網路編碼的技術設計了一套分散式的廣播協定機制。這個機制主要分為兩個階段：建廣播樹階段以及應用網路編碼之廣播傳輸階段。在建廣播樹階段，每個節點以分散式選擇parent的方法，並以三個規則進行篩選，有效率地完成建樹階段。而在第二階段利用廣播樹的資訊使用網路編碼進行有效率的傳輸。此外，我們也使用資料優先序的方法預防死結。在模擬結果中，我們所提出的方法能大幅降低整體的傳輸次數，也比現有提出的相關機制好出許多同時也能夠接近ILP的最佳解。

This thesis addresses the minimum transmission broadcast problem for the many-to-all scenario in wireless sensor networks and presents how a network-coding broadcast protocol with priority-based deadlock prevention can reduce the number of transmissions effectively. Our main contributions are as follows: First, we formulate the MTB problem for the many-to-all with network coding scenario as an integer linear programming (ILP) problem. The solutions obtained by ILP can serve as a lower bound for any protocol. Second, we propose a distributed network-coding broadcast protocol, which constructs efficient broadcast trees and dictates nodes to transmit packets in a network coding manner according to the constructed trees. In addition, we present the priority-based deadlock prevention mechanism to avoid deadlocks. Simulation results confirm that compared with existing protocols in the literature and the performance bounds obtained by our ILP technique, our proposed network-coding broadcast protocol performs very well in terms of the number of transmissions needed.

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