Implementing Polytope Projects for Smart Systems (eBook)

Preface 7
Contents 10
Abbreviations 13
List of Figures 14
List of Tables 18
1 Introduction 19
1.1 Polytope Projects 19
1.1.1 Levels and Emergence 19
1.1.2 Integrative Closure 21
1.1.3 Self-integrative Closure 22
1.1.4 Polystochastic Models 24
1.1.5 Hyperstructures 26
1.1.6 Meta-Meta-Modeling Architectures 28
1.1.7 Polytopes and n-Levels Systems 29
1.2 Smart Systems 31
1.2.1 Smart Materials and Structures 31
1.2.2 Cyber-Physical Systems 34
1.2.3 Intelligent Technical Systems 37
References 39
2 Processes Synthesis 42
2.1 Flow-Sheets Generation 42
2.1.1 Separation Sequences 42
2.1.2 Configurations as Dual Graded Graphs 43
2.1.3 Integration Schemes 46
2.1.4 Lattices for Process Synthesis 50
2.1.5 Integration of Lattices 51
2.2 Cyclic Separations 53
2.2.1 Cyclic Operations 53
2.2.2 Non-Crossing Partitions 54
2.2.3 Dual Graded Graphs for Evolving Schemes 57
2.2.4 Polytope for Cyclic Operations 59
References 61
3 Molecules and Networks 64
3.1 Periodic Features 64
3.1.1 Smart Drug Delivery Systems 64
3.1.2 Drug Delivery and Dual Graded Graphs 66
3.1.3 Chronoterapy Case Studies 69
3.1.4 Periodic Table of Elements 74
3.2 Reaction Networks 75
3.2.1 Chemical Reaction Networks 75
3.2.2 Azines 76
3.2.3 Hemoglobin Oxygenation 78
3.2.4 Adsorption of Polar Species 79
References 80
4 Conditioned Walks 82
4.1 Restricted Permutations 82
4.1.1 Placements and Packing 82
4.1.2 Templating and Twin Trees 86
4.2 Self-Avoiding Walks 89
4.2.1 Folding and Meanders 89
4.2.2 Self-Avoiding Polygons 91
References 96
5 Assembling and Configuring 98
5.1 Self-assembling 98
5.1.1 Self-assembly of Tiles 98
5.1.2 Computation in Cells 101
5.1.3 Permutation Trees 102
5.2 Self-reconfiguring 104
5.2.1 Metamorphic Robots 104
5.2.2 Construction and Deconstruction 106
5.2.3 Shifted Shapes 108
5.2.4 Skew Strip Shapes 111
References 112
6 Devices and Technologies 115
6.1 Microreactors 115
6.1.1 Microtechnology and Chemical Plants 115
6.1.2 Dual Graded Graphs for Microreactors 118
6.1.3 Set Partitions 121
6.1.4 Numbering-up and Chains 124
6.2 Timed Automata 130
6.2.1 Heaps of Pieces and Timed Automata 130
6.2.2 Paint Factory 131
References 134
7 Concepts and Knowledge 136
7.1 Engineering Design 136
7.1.1 Inferential Design Theory 136
7.1.2 Dual Graded Graphs for Design 138
7.1.3 Algebra of Design 142
7.2 Concept Analysis 145
7.2.1 Contexts and Concepts 145
7.2.2 Multiple Separation Schemes 145
7.2.3 Polytope for Lattices 146
7.2.4 Meta-Meta-Modeling Approach 149
References 151
8 Industrial Systems 153
8.1 Smart Manufacturing 153
8.1.1 Industry 4.0 153
8.1.2 Smart Manufacturing Leadership Coalition 155
8.1.3 Reference Architectures 157
8.1.4 Generic Smart Grid Architecture Model 159
8.2 Systems Development 163
8.2.1 V-Model 163
8.2.2 Polytope Projects for Continuous Engineering 166
8.2.3 Logic and Hopf Algebras 169
References 170
9 Polytope Perspectives 172
9.1 Synopsis 172
9.1.1 Methodology 172
9.1.2 General Theories 178
9.2 Perspectives 181
9.2.1 Leading Projects 181
9.2.2 Society 4.0 182
References 186
Appendix A: Dual Graded Graphs 189
Appendix B: Hopf Algebras 191
Index 195