Preface |
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ix | |
Acknowledgments |
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xiii | |
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Chapter 1 Introduction to Network Design |
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1 | (26) |
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1.1 Single-Source Network Routing Problem |
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2 | (10) |
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1.1.1 Preliminary Definitions |
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2 | (1) |
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Ground Transportation Example |
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3 | (2) |
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5 | (5) |
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1.1.3 Network Routing Cost |
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10 | (2) |
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1.2 General Network Routing Problem |
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12 | (4) |
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Routing Cost Optimization |
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15 | (1) |
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1.3 Oblivious Routing Cost Environment |
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16 | (4) |
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18 | (1) |
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19 | (1) |
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1.4 Fractional versus Integral Routing |
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20 | (3) |
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Routing Cost of the Fractional Solution |
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22 | (1) |
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Obliviousness of the Routing Cost Environment |
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22 | (1) |
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23 | (4) |
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24 | (1) |
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25 | (2) |
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Part I Mathematical Foundation |
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27 | (66) |
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Chapter 2 Hierarchical Routing Tools and Data Structures |
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29 | (30) |
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2.1 Preliminary Definitions |
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30 | (2) |
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2.2 Hierarchical Decomposition Tree |
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32 | (4) |
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2.2.1 Hierarchical Decomposition Sequence |
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32 | (2) |
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34 | (2) |
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2.3 Hierarchical Independence Tree Type-1 |
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36 | (11) |
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2.3.1 Independent Set of Vertices |
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36 | (2) |
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2.3.2 HIT Definition and Properties |
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38 | (6) |
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2.3.3 Induced Partitions of HIT |
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44 | (3) |
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2.4 Hierarchical Independence Tree Type-2 |
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47 | (4) |
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2.5 Hierarchical Independence Tree Type-0 |
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51 | (4) |
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55 | (4) |
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55 | (2) |
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57 | (2) |
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Chapter 3 Routing Schemes in Oblivious Network Design |
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59 | (34) |
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3.1 A Top-Down Versatile Routing Scheme |
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59 | (23) |
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3.1.1 Routing Problem Specification |
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61 | (1) |
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3.1.2 Padded Hierarchical Decomposition Sequence |
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61 | (2) |
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Fakcharoenphol's Algorithm |
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63 | (6) |
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3.1.3 The Routing Scheme Construction |
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69 | (1) |
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70 | (3) |
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73 | (3) |
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3.1.4 Routing Cost Analysis |
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76 | (5) |
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Competitive Ratio of the Integral Scheme |
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81 | (1) |
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3.2 A Bottom-Up Versatile Routing Scheme |
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82 | (7) |
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3.2.1 Problem Specification |
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83 | (1) |
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3.2.2 Scheme Construction |
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84 | (1) |
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85 | (4) |
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89 | (4) |
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89 | (1) |
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90 | (3) |
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93 | (60) |
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Chapter 4 A Secure Versatile Model of Content-Centric Networks |
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95 | (28) |
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4.1 Security Preliminaries |
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96 | (2) |
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96 | (1) |
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96 | (1) |
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97 | (1) |
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97 | (1) |
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Host-Oblivious Security Schemes |
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97 | (1) |
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4.2 The Hybrid Model Description |
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98 | (5) |
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100 | (1) |
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Phase 1 Requesting Content |
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101 | (1) |
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Responding to the Request |
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102 | (1) |
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Phase 3 Choosing the Supplying Device |
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102 | (1) |
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Phase 4 Data Transmission |
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102 | (1) |
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4.3 Message Forwarding in the Routing Nodes |
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103 | (4) |
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103 | (2) |
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105 | (1) |
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105 | (2) |
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4.4 Oblivious Routing Problem Specification |
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107 | (5) |
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107 | (1) |
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4.4.2 Graph Representation of the Hybrid Model |
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108 | (2) |
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4.4.3 Oblivious Routing Cost Environment |
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110 | (2) |
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4.5 A Versatile Routing Scheme |
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112 | (2) |
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Busch's Randomized Algorithm |
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112 | (2) |
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4.6 Node Congestion Prevention |
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114 | (5) |
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4.6.1 Preliminary Definitions |
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115 | (1) |
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4.6.2 The Expected Competitive Ratio |
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116 | (3) |
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4.7 Routing Cost Analysis |
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119 | (3) |
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122 | (1) |
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122 | (1) |
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122 | (1) |
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Chapter 5 Versatile Distribution of Green Power Resources |
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123 | (30) |
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124 | (3) |
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A Residential Electricity System |
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124 | (3) |
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5.2 Electricity System Reliability |
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127 | (11) |
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5.2.1 Stochastic Processes |
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128 | (1) |
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5.2.2 Modeling with Stochastic Processes |
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129 | (2) |
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5.2.3 Reliability Analysis |
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131 | (1) |
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Impact of Auxiliary Power Plants on System Reliability |
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132 | (6) |
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5.3 Analysis of the Energy Distribution Cost |
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138 | (6) |
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139 | (1) |
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140 | (1) |
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140 | (2) |
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142 | (1) |
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5.3.2 Energy Flow Cost Function |
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142 | (1) |
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143 | (1) |
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5.4 Cost Optimization of Energy Distribution |
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144 | (7) |
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5.4.1 Computation of Energy Flow Values Using Rosen's Method |
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146 | (4) |
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5.4.2 Competitive Ratio of Cost Distribution |
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150 | (1) |
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151 | (2) |
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151 | (1) |
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151 | (2) |
Bibliography |
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153 | (4) |
Index |
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157 | |