A Hetero-functional Graph Theory for Modeling Interdependent Smart City Infrastructure

von: Wester C. H. Schoonenberg, Inas S. Khayal, Amro M. Farid

Springer-Verlag, 2018

ISBN: 9783319993010 , 216 Seiten

Format: PDF, Online Lesen

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A Hetero-functional Graph Theory for Modeling Interdependent Smart City Infrastructure


 

Preface

6

Why This Book?

6

Where Did Hetero-functional Graph Theory Come from?

8

The Goal of This Book

9

What Is in This Book?

9

Contents

11

List of Figures

14

List of Tables

21

Nomenclature

22

1 Introduction

26

1.1 Book Contribution

28

1.2 Book Outline

30

References

30

2 The Need for Hetero-functional Graph Theory

38

References

42

3 Hetero-functional Graph Theory Preliminaries

47

3.1 Ontological Foundation for Hetero-functional Graph Theory

47

3.2 Systems Engineering Foundations

51

References

58

4 Hetero-functional Graph Theory

60

4.1 System Concept

61

4.1.1 System Form

63

4.1.2 System Function

66

4.1.3 Allocation of System Function onto System Form

71

4.2 Hetero-functional Adjacency Matrix

78

4.3 Controller Agency Matrix

83

4.4 Controller Adjacency Matrix

87

4.5 Service as Operand Behavior

91

4.5.1 Service Delivery as Service Net

93

4.5.2 Service Delivery as Service Graph

96

4.6 Service Feasibility Matrix

96

4.6.1 Service Feasibility Matrix Definitions

97

4.6.2 Service Degrees of Freedom

102

4.7 The System Adjacency Matrix: An Integrated View of Hetero-functional Graph Theory

105

4.8 Conclusion

112

References

114

5 Modeling Interdependent Smart City Infrastructure Systems with HFGT

117

5.1 The Role of Test Cases in Smart City Development

117

5.2 Smart City Test Case: Trimetrica

118

5.3 System Concept

123

5.3.1 Smart City Resources

123

5.3.2 Smart City Processes

131

5.3.3 Smart City Knowledge Base

136

5.3.4 Visualizing Degrees of Freedom

140

5.4 Hetero-functional Adjacency Matrix

147

5.4.1 Calculating System Sequence

147

5.4.2 Visualizing System Sequence

149

5.5 Controller Agency Matrix

153

5.5.1 Expansion of System Resources

156

5.5.2 Smart City Controller Agency Matrix

157

5.5.3 The Relation Between the Controller Agency Matrix and the Hetero-functional Adjacency Matrix

157

5.6 Controller Adjacency Matrix

158

5.7 Service as Operand Behavior

161

5.7.1 Service Delivery in SysML

161

5.7.2 Service Delivery Using Petri Nets

164

5.7.3 Service Delivery as Service Graph

167

5.8 Service Feasibility Matrix

168

5.8.1 Deliver Potable Water

170

5.8.2 Deliver Electric Power

171

5.8.3 Deliver Electric Vehicle

172

5.8.4 Visualizing the Service Feasibility Matrix

172

5.9 System Adjacency Matrix

174

5.9.1 Trimetrica's System Adjacency Matrix

174

5.9.2 Hetero-functional Graph Visualization

176

5.10 Discussion

177

5.10.1 Ontological Analysis of Hetero-functionalGraph Theory

178

5.10.2 Comparison with Multi-layer Networks

180

References

182

6 Applications of Hetero-functional Graph Theory

184

6.1 Mass-Customized Production Systems

184

6.2 Multi-Modal Transportation Systems

186

6.3 Electric Power Systems

186

6.4 Multi-Modal Electrified Transportation Systems

187

6.5 Microgrid-Enabled Production Systems

188

6.6 Personalized Healthcare Delivery Systems

188

References

189

7 Conclusion and Future Work

192

7.1 Conclusion

192

7.2 Future Work

194

A Representing a Four-Layer Network in Hetero-functional Graph Theory

195

A.1 System Concept

197

A.2 Hetero-functional Adjacency Matrix

202

A.3 Controller Agency Matrix

202

A.4 Controller Adjacency Matrix

202

A.5 Service as Operand Behavior

204

A.6 Service Feasibility Matrix

206

A.7 System Adjacency Matrix

206

List of Definitions

209

Index

211