Fractional Order Crowd Dynamics

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 Process1.1 Introduction1.2 Fractional Decision Making Process1.3 Fractional Microscopic Model1.4 Simulation Results1.5 ConclusionChapter 2 Fractional Model of Macroscopic Crowds Based on Fractional Conservation Law2.1 Introduction2.2 Fractional Conservation law of Mass/Momentum2.3 Fractional Macroscopic Model2.4 Simulation Results2.5 ConclusionChapter 3 Fractional Model for Micro-Macro Crowds with Presence of Individual of Disabilities3.1 Introduction3.2 Fractional Potential Field and IwDs3.3 Fractional Mean Field Theory3.4 Fractional Micro-Macro Model3.5 Simulation Results3.6 ConclusionChapter 4 Cooperative Control of Microscopic Pedestrians with Long Range Interactions4.1 Introduction4.2 Relationship between Long Range Interactions and Fractional Calculus4.3 Relationship between Long Range Interactions and Macroscopic Movement4.4 Cooperative Control of Microscopic Pedestrians with Long Range Interactions4.5 Simulation Results4.6 ConclusionChapter 5 Boundary Evacuation Control of Macroscopic Crowds of Pedestrians5.1 Introduction5.2 Fractional Reaction-advection-diffusion Model5.3 Boundary Conditions for Desired Evacuation5.4 Evacuating Controllers for Boundary Robots5.5 Wave-absorbing Re-design of Boundary Evacuating Controllers5.6 Simulation Results5.7 ConclusionChapter 6 Intelligent Evacuation Control of Large Crowds of Pedestrians Using FODIFF-MAS6.1 Introduction6.2 Platform of DIFF-MAS and FODIFF-MAS6.3 Simulation Results of Large Crowds on Micro, Macro and Mesco Scale6.4 Simulation Results of Large Crowds with Long Range Interactions6.5 Intelligent Evacuation Control of Large Crowds6.6 Conclusion