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 \section*{3. Main Contributions of this Dissertation}
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 %The coverage problem in WSNs is becoming more and more important for many applications ranging from military applications such as battlefield surveillance to the civilian applications such as health-care surveillance and habitant monitoring. 
 The main contributions in this dissertation concentrate on designing distributed optimization protocols to extend the lifetime of WSNs.  We summarize the main contributions of our research as follows:
  
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 % \section{ Refereed Journal and Conference Publications}
  
 \section*{4. Dissertation Outline}
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 The dissertation is organized as follows: the next chapter presents a scientific background about wireless sensor networks. Chapter 2 states a review of the related literatures to the coverage problem in WSNs, prior works and current works. Evaluation tools and optimization solvers are investigated in chapter 3. Chapter 4 describes the proposed DiLCO protocol, while chapter 5 and 6 respectively present the MuDiLCO and PeCO protocols. Finally, we conclude our work in chapter 7.