Polytopic Roadmaps (Studies in Systems, Decision and Control, 368)

✍ Scribed by Octavian Iordache

• Publisher: Springer
• Year: 2021
• Tongue: English
• Leaves: 216
• Category: Library

✦ Synopsis

This book is useful to engineers, researchers, entrepreneurs, and students in different branches of production, engineering, and systems sciences. The polytopic roadmaps are the guidelines inspired by the development stages of cognitive-intelligent systems, and expected to become powerful instruments releasing an abundance of new capabilities and structures for complex engineering systems implementation. The 4D approach developed in previous monographs and correlated with industry 4.0and Fourth Industrial Revolution is continued here toward higher dimensions approaches correlated with polytopic operations, equipment, technologies, industries, and societies. Methodology emphasizes the role of doubling, iteration, dimensionality, and cyclicality around the center, of periodic tables and of conservative and exploratory strategies. Partitions, permutations, classifications, and complexification, as polytopic chemistry, are the elementary operations analyzed. Multi-scale transfer, cyclicoperations, conveyors, and assembly lines are the practical examples of operations and equipment. Polytopic flow sheets, online analytical processing, polytopic engineering designs, and reality-inspired engineering are presented.

Innovative concepts such as Industry 5.0, polytopic industry, Society 5.0, polytopic society, cyber physical social systems, industrial Internet, and digital twins have been discussed. The general polytopic roadmaps, (GPTR), are proposed as universal guidelines and as common methodologies to synthesize the systemic thinking and capabilities for growing complexity projects implementation.

✦ Table of Contents

Preface
Contents
Abbreviations
List of Figures
List of Tables
1 Beyond 4.0
1.1 Everything 4.0
1.2 Polytopic Roadmaps
1.2.1 Roadmaps for Growing Complexity
1.2.2 Different Presentations
1.2.3 Concept of Time
1.2.4 Periodic Tables
1.3 Everything Polytopic
References
2 Stages
2.1 Cognitive Intelligent Roadmaps
2.1.1 Higher Dimensionality by Iteration
2.1.2 Closure Around the Center
2.1.3 Functional Circles
2.1.4 Action Schemes
2.1.5 Piagetian Developmental Stages
2.2 Dynamic Skill Theory
2.3 Executive Control Structures
2.3.1 Hierarchical Complexity
2.3.2 Strategies
2.4 Relational Complexity
References
3 Operations
3.1 Partitions
3.1.1 Integers Partition
3.1.2 Dual Graded Graphs for Integers Partitions
3.1.3 K-Bounded Partitions
3.2 Permutations
3.2.1 Permutation Trees for Designs of Experiments
3.2.2 Latin Hypercubes
3.3 Classifications
3.3.1 Conceptual Lattices for Classification
3.3.2 Polytopic Formal Concept Analysis
3.3.3 Polytopic Temporal Concept Analysis
3.4 Complexifications
3.4.1 Graphs Spanning
3.4.2 Polytopic Chemistry
References
4 Equipments
4.1 Multi-scales
4.2 Cyclic Operations
4.3 Conveyors
4.4 Assembly
References
5 Technologies
5.1 Flow-Sheets
5.2 OLAP
5.3 Engineering Design
5.4 Enterprise Control System
5.5 Reality Inspired Engineering
References
6 Industries
6.1 Industry 4.0
6.2 Industry 5.0
6.3 Industry 4.0 Toolbox
6.4 Polytopic Industry
References
7 Societies
7.1 Polytopic Society
7.2 BINC
7.3 Cyber-Physical-Social Systems
7.4 Ecology
References
8 Perspectives
8.1 Integral Perspectives
8.1.1 General Systems Theory
8.1.2 General Polytopic Roadmaps
8.2 Polytopic Projects
8.2.1 Material Systems
8.2.2 Biological Systems
8.2.3 Cognitive Systems
8.2.4 Intelligent Systems
References
Appendix A Combinatorial Species
Appendix B Formal Concept Analysis
Back Cover
Index