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 \contentsline {section}{\numberline {1.11}Conclusion}{39}{section.1.11}
 \contentsline {chapter}{\numberline {2}Related Works on Coverage Problems}{41}{chapter.2}
 \contentsline {section}{\numberline {2.1}Introduction}{41}{section.2.1}
-\contentsline {subsection}{\numberline {2.1.1}Centralized Algorithms}{43}{subsection.2.1.1}
-\contentsline {subsection}{\numberline {2.1.2}Distributed Algorithms}{45}{subsection.2.1.2}
-\contentsline {section}{\numberline {2.2}Conclusion}{48}{section.2.2}
-\contentsline {chapter}{\numberline {3}Evaluation Tools and Optimization Solvers}{51}{chapter.3}
-\contentsline {section}{\numberline {3.1}Introduction}{51}{section.3.1}
-\contentsline {section}{\numberline {3.2}Evaluation Tools}{51}{section.3.2}
-\contentsline {subsection}{\numberline {3.2.1}Testbed Tools}{52}{subsection.3.2.1}
-\contentsline {subsection}{\numberline {3.2.2}Simulation Tools}{53}{subsection.3.2.2}
-\contentsline {section}{\numberline {3.3}Optimization Solvers}{58}{section.3.3}
-\contentsline {section}{\numberline {3.4}Conclusion}{61}{section.3.4}
-\contentsline {part}{II\hspace {1em}Contributions}{63}{part.2}
-\contentsline {chapter}{\numberline {4}Distributed Lifetime Coverage Optimization Protocol in Wireless Sensor Networks}{65}{chapter.4}
-\contentsline {section}{\numberline {4.1}Introduction}{65}{section.4.1}
-\contentsline {section}{\numberline {4.2}Description of the DiLCO Protocol}{66}{section.4.2}
-\contentsline {subsection}{\numberline {4.2.1}Assumptions and Network Model}{66}{subsection.4.2.1}
-\contentsline {subsection}{\numberline {4.2.2}Primary Point Coverage Model}{67}{subsection.4.2.2}
-\contentsline {subsection}{\numberline {4.2.3}Main Idea}{68}{subsection.4.2.3}
-\contentsline {subsubsection}{\numberline {4.2.3.1}Information Exchange Phase}{69}{subsubsection.4.2.3.1}
-\contentsline {subsubsection}{\numberline {4.2.3.2}Leader Election Phase}{69}{subsubsection.4.2.3.2}
-\contentsline {subsubsection}{\numberline {4.2.3.3}Decision phase}{69}{subsubsection.4.2.3.3}
-\contentsline {subsubsection}{\numberline {4.2.3.4}Sensing phase}{69}{subsubsection.4.2.3.4}
-\contentsline {section}{\numberline {4.3}Primary Points based Coverage Problem Formulation}{70}{section.4.3}
-\contentsline {section}{\numberline {4.4}Simulation Results and Analysis}{72}{section.4.4}
-\contentsline {subsection}{\numberline {4.4.1}Simulation Framework}{72}{subsection.4.4.1}
-\contentsline {subsection}{\numberline {4.4.2}Modeling Language and Optimization Solver}{72}{subsection.4.4.2}
-\contentsline {subsection}{\numberline {4.4.3}Energy Consumption Model}{72}{subsection.4.4.3}
-\contentsline {subsection}{\numberline {4.4.4}Performance Metrics}{73}{subsection.4.4.4}
-\contentsline {subsection}{\numberline {4.4.5}Performance Analysis for Different Subregions}{74}{subsection.4.4.5}
-\contentsline {subsection}{\numberline {4.4.6}Performance Analysis for Primary Point Models}{80}{subsection.4.4.6}
-\contentsline {subsection}{\numberline {4.4.7}Performance Comparison with other Approaches}{85}{subsection.4.4.7}
-\contentsline {section}{\numberline {4.5}Conclusion}{91}{section.4.5}
-\contentsline {chapter}{\numberline {5}Multiround Distributed Lifetime Coverage Optimization Protocol in Wireless Sensor Networks}{93}{chapter.5}
-\contentsline {section}{\numberline {5.1}Introduction}{93}{section.5.1}
-\contentsline {section}{\numberline {5.2}MuDiLCO Protocol Description}{94}{section.5.2}
-\contentsline {subsection}{\numberline {5.2.1}Background Idea and Algorithm}{94}{subsection.5.2.1}
-\contentsline {section}{\numberline {5.3}Primary Points based Multiround Coverage Problem Formulation}{95}{section.5.3}
-\contentsline {section}{\numberline {5.4}Experimental Study and Analysis}{97}{section.5.4}
-\contentsline {subsection}{\numberline {5.4.1}Simulation Setup}{97}{subsection.5.4.1}
-\contentsline {subsection}{\numberline {5.4.2}Metrics}{98}{subsection.5.4.2}
-\contentsline {subsection}{\numberline {5.4.3}Results Analysis and Comparison }{99}{subsection.5.4.3}
-\contentsline {section}{\numberline {5.5}Conclusion}{104}{section.5.5}
-\contentsline {chapter}{\numberline {6}Perimeter-based Coverage Optimization to Improve Lifetime in Wireless Sensor Networks}{107}{chapter.6}
-\contentsline {section}{\numberline {6.1}Introduction}{107}{section.6.1}
-\contentsline {section}{\numberline {6.2}The PeCO Protocol Description}{108}{section.6.2}
-\contentsline {subsection}{\numberline {6.2.1}Assumptions and Models}{108}{subsection.6.2.1}
-\contentsline {subsection}{\numberline {6.2.2}The Main Idea}{111}{subsection.6.2.2}
-\contentsline {subsection}{\numberline {6.2.3}PeCO Protocol Algorithm}{111}{subsection.6.2.3}
-\contentsline {section}{\numberline {6.3}Perimeter-based Coverage Problem Formulation}{112}{section.6.3}
-\contentsline {section}{\numberline {6.4}Performance Evaluation and Analysis}{114}{section.6.4}
-\contentsline {subsection}{\numberline {6.4.1}Simulation Settings}{114}{subsection.6.4.1}
-\contentsline {subsection}{\numberline {6.4.2}Simulation Results}{115}{subsection.6.4.2}
-\contentsline {subsubsection}{\numberline {6.4.2.1}Coverage Ratio}{116}{subsubsection.6.4.2.1}
-\contentsline {subsubsection}{\numberline {6.4.2.2}Active Sensors Ratio}{116}{subsubsection.6.4.2.2}
-\contentsline {subsubsection}{\numberline {6.4.2.3}The Energy Consumption}{117}{subsubsection.6.4.2.3}
-\contentsline {subsubsection}{\numberline {6.4.2.4}The Network Lifetime}{117}{subsubsection.6.4.2.4}
-\contentsline {section}{\numberline {6.5}Conclusion}{120}{section.6.5}
-\contentsline {part}{III\hspace {1em}Conclusion and Perspectives}{121}{part.3}
-\contentsline {chapter}{\numberline {7}Conclusion and Perspectives}{123}{chapter.7}
-\contentsline {section}{\numberline {7.1}Conclusion}{123}{section.7.1}
-\contentsline {section}{\numberline {7.2}Perspectives}{124}{section.7.2}
-\contentsline {part}{Bibliographie}{139}{chapter*.6}
+\contentsline {section}{\numberline {2.2}Centralized Algorithms}{43}{section.2.2}
+\contentsline {section}{\numberline {2.3}Distributed Algorithms}{45}{section.2.3}
+\contentsline {subsection}{\numberline {2.3.1}GAF}{46}{subsection.2.3.1}
+\contentsline {subsection}{\numberline {2.3.2}DESK}{48}{subsection.2.3.2}
+\contentsline {section}{\numberline {2.4}Conclusion}{49}{section.2.4}
+\contentsline {chapter}{\numberline {3}Evaluation Tools and Optimization Solvers}{53}{chapter.3}
+\contentsline {section}{\numberline {3.1}Introduction}{53}{section.3.1}
+\contentsline {section}{\numberline {3.2}Evaluation Tools}{53}{section.3.2}
+\contentsline {subsection}{\numberline {3.2.1}Testbed Tools}{54}{subsection.3.2.1}
+\contentsline {subsection}{\numberline {3.2.2}Simulation Tools}{55}{subsection.3.2.2}
+\contentsline {section}{\numberline {3.3}Optimization Solvers}{60}{section.3.3}
+\contentsline {section}{\numberline {3.4}Conclusion}{63}{section.3.4}
+\contentsline {part}{II\hspace {1em}Contributions}{65}{part.2}
+\contentsline {chapter}{\numberline {4}Distributed Lifetime Coverage Optimization Protocol in Wireless Sensor Networks}{67}{chapter.4}
+\contentsline {section}{\numberline {4.1}Introduction}{67}{section.4.1}
+\contentsline {section}{\numberline {4.2}Description of the DiLCO Protocol}{68}{section.4.2}
+\contentsline {subsection}{\numberline {4.2.1}Assumptions and Network Model}{68}{subsection.4.2.1}
+\contentsline {subsection}{\numberline {4.2.2}Primary Point Coverage Model}{69}{subsection.4.2.2}
+\contentsline {subsection}{\numberline {4.2.3}Main Idea}{70}{subsection.4.2.3}
+\contentsline {subsubsection}{\numberline {4.2.3.1}Information Exchange Phase}{71}{subsubsection.4.2.3.1}
+\contentsline {subsubsection}{\numberline {4.2.3.2}Leader Election Phase}{71}{subsubsection.4.2.3.2}
+\contentsline {subsubsection}{\numberline {4.2.3.3}Decision phase}{71}{subsubsection.4.2.3.3}
+\contentsline {subsubsection}{\numberline {4.2.3.4}Sensing phase}{71}{subsubsection.4.2.3.4}
+\contentsline {section}{\numberline {4.3}Primary Points based Coverage Problem Formulation}{72}{section.4.3}
+\contentsline {section}{\numberline {4.4}Simulation Results and Analysis}{74}{section.4.4}
+\contentsline {subsection}{\numberline {4.4.1}Simulation Framework}{74}{subsection.4.4.1}
+\contentsline {subsection}{\numberline {4.4.2}Modeling Language and Optimization Solver}{74}{subsection.4.4.2}
+\contentsline {subsection}{\numberline {4.4.3}Energy Consumption Model}{74}{subsection.4.4.3}
+\contentsline {subsection}{\numberline {4.4.4}Performance Metrics}{75}{subsection.4.4.4}
+\contentsline {subsection}{\numberline {4.4.5}Performance Analysis for Different Subregions}{76}{subsection.4.4.5}
+\contentsline {subsection}{\numberline {4.4.6}Performance Analysis for Primary Point Models}{82}{subsection.4.4.6}
+\contentsline {subsection}{\numberline {4.4.7}Performance Comparison with other Approaches}{87}{subsection.4.4.7}
+\contentsline {section}{\numberline {4.5}Conclusion}{93}{section.4.5}
+\contentsline {chapter}{\numberline {5}Multiround Distributed Lifetime Coverage Optimization Protocol in Wireless Sensor Networks}{95}{chapter.5}
+\contentsline {section}{\numberline {5.1}Introduction}{95}{section.5.1}
+\contentsline {section}{\numberline {5.2}MuDiLCO Protocol Description}{96}{section.5.2}
+\contentsline {subsection}{\numberline {5.2.1}Background Idea and Algorithm}{96}{subsection.5.2.1}
+\contentsline {section}{\numberline {5.3}Primary Points based Multiround Coverage Problem Formulation}{97}{section.5.3}
+\contentsline {section}{\numberline {5.4}Experimental Study and Analysis}{99}{section.5.4}
+\contentsline {subsection}{\numberline {5.4.1}Simulation Setup}{99}{subsection.5.4.1}
+\contentsline {subsection}{\numberline {5.4.2}Metrics}{100}{subsection.5.4.2}
+\contentsline {subsection}{\numberline {5.4.3}Results Analysis and Comparison }{101}{subsection.5.4.3}
+\contentsline {section}{\numberline {5.5}Conclusion}{106}{section.5.5}
+\contentsline {chapter}{\numberline {6}Perimeter-based Coverage Optimization to Improve Lifetime in Wireless Sensor Networks}{109}{chapter.6}
+\contentsline {section}{\numberline {6.1}Introduction}{109}{section.6.1}
+\contentsline {section}{\numberline {6.2}The PeCO Protocol Description}{110}{section.6.2}
+\contentsline {subsection}{\numberline {6.2.1}Assumptions and Models}{110}{subsection.6.2.1}
+\contentsline {subsection}{\numberline {6.2.2}The Main Idea}{113}{subsection.6.2.2}
+\contentsline {subsection}{\numberline {6.2.3}PeCO Protocol Algorithm}{113}{subsection.6.2.3}
+\contentsline {section}{\numberline {6.3}Perimeter-based Coverage Problem Formulation}{114}{section.6.3}
+\contentsline {section}{\numberline {6.4}Performance Evaluation and Analysis}{116}{section.6.4}
+\contentsline {subsection}{\numberline {6.4.1}Simulation Settings}{116}{subsection.6.4.1}
+\contentsline {subsection}{\numberline {6.4.2}Simulation Results}{117}{subsection.6.4.2}
+\contentsline {subsubsection}{\numberline {6.4.2.1}Coverage Ratio}{118}{subsubsection.6.4.2.1}
+\contentsline {subsubsection}{\numberline {6.4.2.2}Active Sensors Ratio}{118}{subsubsection.6.4.2.2}
+\contentsline {subsubsection}{\numberline {6.4.2.3}The Energy Consumption}{119}{subsubsection.6.4.2.3}
+\contentsline {subsubsection}{\numberline {6.4.2.4}The Network Lifetime}{119}{subsubsection.6.4.2.4}
+\contentsline {section}{\numberline {6.5}Conclusion}{122}{section.6.5}
+\contentsline {part}{III\hspace {1em}Conclusion and Perspectives}{123}{part.3}
+\contentsline {chapter}{\numberline {7}Conclusion and Perspectives}{125}{chapter.7}
+\contentsline {section}{\numberline {7.1}Conclusion}{125}{section.7.1}
+\contentsline {section}{\numberline {7.2}Perspectives}{126}{section.7.2}
+\contentsline {part}{Bibliographie}{141}{chapter*.6}