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Fractional Order Crowd Dynamics

Cyber-Human System Modeling and Control

Kecai Cao, Yangquan Chen (Autoren)

Buch | Hardcover

XIII, 125 Seiten

2018
De Gruyter (Verlag)
978-3-11-047281-3 (ISBN)

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This book illustrates the application of fractional calculus in crowd dynamics via modeling and control groups of pedestrians. Decision-making processes, conservation laws of mass/momentum, and micro-macro models are employed to describe system dynamics while cooperative movements in micro scale, and fractional diffusion in macro scale are studied to control the group of pedestrians. Obtained work is included in the Intelligent Evacuation Systems that is used for modeling and to control crowds of pedestrians. With practical issues considered, this book is of interests to mathematicians, physicists, and engineers.

Kecai Cao, Nanjing U. of Posts and Telecommunications, China; YangQuan Chen, U. of California, Merced, USA.

Table of Content:
Chapter 1 Fractional Model of Microscopic Pedestrians Based on Fractional Decision Making Process
1.1 Introduction
1.2 Fractional Decision Making Process
1.3 Fractional Microscopic Model
1.4 Simulation Results
1.5 Conclusion
Chapter 2 Fractional Model of Macroscopic Crowds Based on Fractional Conservation Law
2.1 Introduction
2.2 Fractional Conservation law of Mass/Momentum
2.3 Fractional Macroscopic Model
2.4 Simulation Results
2.5 Conclusion
Chapter 3 Fractional Model for Micro-Macro Crowds with Presence of Individual of Disabilities
3.1 Introduction
3.2 Fractional Potential Field and IwDs
3.3 Fractional Mean Field Theory
3.4 Fractional Micro-Macro Model
3.5 Simulation Results
3.6 Conclusion
Chapter 4 Cooperative Control of Microscopic Pedestrians with Long Range Interactions
4.1 Introduction
4.2 Relationship between Long Range Interactions and Fractional Calculus
4.3 Relationship between Long Range Interactions and Macroscopic Movement
4.4 Cooperative Control of Microscopic Pedestrians with Long Range Interactions
4.5 Simulation Results
4.6 Conclusion
Chapter 5 Boundary Evacuation Control of Macroscopic Crowds of Pedestrians
5.1 Introduction
5.2 Fractional Reaction-advection-diffusion Model
5.3 Boundary Conditions for Desired Evacuation
5.4 Evacuating Controllers for Boundary Robots
5.5 Wave-absorbing Re-design of Boundary Evacuating Controllers
5.6 Simulation Results
5.7 Conclusion
Chapter 6 Intelligent Evacuation Control of Large Crowds of Pedestrians Using FODIFF-MAS
6.1 Introduction
6.2 Platform of DIFF-MAS and FODIFF-MAS
6.3 Simulation Results of Large Crowds on Micro, Macro and Mesco Scale
6.4 Simulation Results of Large Crowds with Long Range Interactions
6.5 Intelligent Evacuation Control of Large Crowds
6.6 Conclusion

Erscheinungsdatum	11.06.2018
Reihe/Serie	Fractional Calculus in Applied Sciences and Engineering ; 4
Zusatzinfo	30 b/w ill.
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	387 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Technik
Schlagworte	alloys • Analysis • Applied • Applied mathematics • Bruch (Medizin) / Hernie • Calculus • Differential Equations • Han • Hydrogen • Mathematical Analysis • Mathematics • Mathematik • Storage • Technik
ISBN-10	3-11-047281-3 / 3110472813
ISBN-13	978-3-11-047281-3 / 9783110472813
Zustand	Neuware