Holdings: Fractional order crowd dynamics

Fractional order crowd dynamics: cyber-human system modeling and control

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Bibliographic Details
Main Authors:	Cao, Kecai (Author), Chen, Yangquan 1966- (Author)
Format:	Book
Language:	English
Published:	Berlin De Gruyter [2018]
Series:	Fractional calculus in applied sciences and engineering volume 4
Subjects:	Evakuierung Menschenmenge Gebrochene Analysis Fußgängerverkehr Mensch-Maschine-System Mathematisches Modell
Online Access:	Inhaltsverzeichnis Inhaltsverzeichnis
Physical Description:	XI, 121 Seiten Illustrationen, Diagramme, Karten 24 cm
ISBN:	9783110472813 3110472813

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Record in the Search Index

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adam_text	CONTENTS PREFACE -V II ACRONYMS ----- XIII 1 INTRODUCTION 1 1.1 MOTIVATION * 1 1.2 CURRENT STATUS OF RESEARCH * 1 1.2.1 MODELING OF CROWDS * 1 1.2.2 CONTROL OF CROWDS * 2 1.2.3 COMMENTS * 3 1.3 ORGANIZATION OF THIS BOOK * 4 REFERENCES * 4 PART I: FRACTIONAL MODELING OF LARGE CROWDS OF PEDESTRIANS 2 MICROSCOPIC MODEL OF FRACTIONAL ORDER FOR EVACUATION OF CROWDS * 9 2.1 INTRODUCTION * 9 2.1.1 ISOLATED DECISION-MAKING MODEL FOR TAFC * 10 2.1.2 NETWORKED DECISION-MAKING MODEL FOR TAFC * 12 2.1.3 TAFC IN EVACUATION OF CROWDS ----- 13 2.1.4 COMMENTS ON THE PREVIOUS RESEARCH * 14 2.1.5 OVERVIEW OF THIS CHAPTER * 15 2.2 PROBLEM FORMULATION * 15 2.2.1 DEFINITIONS AND LEMMAS * 15 2.2.2 PROBLEM CONSIDERED IN THIS CHAPTER * 16 2.3 FRACTIONAL DECISION MAKING MODEL * 16 2.3.1 SYMMETRIC INTERACTION * 18 2.3.2 ASYMMETRIC INTERACTION * 18 2.4 DISCUSSIONS ----- 22 2.4.1 RELATIONSHIP TO THE PREVIOUS MODELS * 22 2.4.2 FUTURE TOPICS * 22 2.5 CONCLUSION ----- 23 REFERENCES * 23 3 MACROSCOPIC MODEL OF FRACTIONAL ORDER FOR CROWDS OF PEDESTRIANS * 3.1 INTRODUCTION * 27 3.2 MATHEMATICAL MODEL FOR CROWDS OF PEDESTRIANS * 30 3.2.1 MICROSCOPIC MODEL FOR PEDESTRIANS * 30 3.2.2 MACROSCOPIC MODEL FOR LARGE CROWDS * 31 3.3 MACROSCOPIC MODEL OF FRACTIONAL ORDER BASED ON CONSERVATION LAW ----- 33 3.3.1 DEFINITIONS AND LEMMAS --- 33 3.3.2 CONSERVATION LAW OF MASS/MOMENTUM ----- 34 3.3.3 FRACTIONAL-ORDER MODELING BASED ON CONSERVATION LAW ----- 37 3.4 EXTENSIONS OF MACROSCOPIC MODEL ----- 39 3.4.1 EQUIVALENT MODEL FOR MULTIPLE TYPES OF PEDESTRIANS ----- 39 3.4.2 MACROSCOPIC MODEL WITH ATTRACTION AND REPULSION ----- 40 3.4.3 MACROSCOPIC MODEL WITH DIFFUSION AND ATTRACTION-----41 3.5 CONCLUSION ----- 42 REFERENCES ----- 43 4 MESOSCOPIC MODEL OF FRACTIONAL ORDER FOR CROWDS OF PEDESTRIANS * 47 4.1 INTRODUCTION ----- 47 4.2 MESOSCOPIC MODEL OF INTEGER ORDER * 48 4.2.1 MESOSCOPIC MODEL BASED ON KINETIC THEORY ----- 48 4.2.2 MESOSCOPIC MODEL BASED ON MEAN-FIELD GAMES ----- 50 4.3 MESOSCOPIC MODEL OF FRACTIONAL ORDER * 53 4.3.1 HAMILTON-JACOBI-BELLMAN EQUATION OF FRACTIONAL ORDER ----- 53 4.3.2 MESOSCOPIC MODEL OF FRACTIONAL ORDER WITH INTERACTIONS------55 4.4 CONCLUSION ----- 60 REFERENCES * 60 PART II: FRACTIONAL CONTROL OF LARGE CROWDS OF PEDESTRIANS 5 CLUSTER CONSENSUS FOR CROWDS OF PEDESTRIANS AT MICRO-SCALE * 65 5.1 INTRODUCTION * 65 5.1.1 CONTROL OF MICROSCOPIC PEDESTRIANS USING LEADERS * 65 5.1.2 CONTROL OF MICROSCOPIC PEDESTRIAN WITHOUT LEADERS * 66 5.1.3 MOTIVATION FOR WORK OF THIS CHAPTER * 67 5.2 MICROSCOPIC MODEL OF FRACTIONAL ORDER * 68 5.2.1 NICE PROPERTIES OF FRACTIONAL CALCULUS [7, 23] * 68 5.2.2 MICROSCOPIC MODEL OF FRACTIONAL ORDER * 69 5.3 CONSENSUS OF MICROSCOPIC PEDESTRIANS OF FRACTIONAL ORDER * 70 5.3.1 CONSENSUS ALGORITHM FOR INTEGER-ORDER SYSTEM * 70 5.3.2 CONSENSUS ALGORITHM FOR FRACTIONAL-ORDER SYSTEM * 70 5.3.3 ANALYSIS OF FRACTIONAL CONSENSUS * 71 5.4 CLUSTER CONSENSUS ALGORITHM FOR FRACTIONAL-ORDER SYSTEM * 72 5.5 SIMULATION RESULTS * 75 5.5.1 CLUSTER CONSENSUS FOR PEDESTRIANS OF INTEGER ORDER * 75 5.5.2 CLUSTER CONSENSUS FOR PEDESTRIANS OF FRACTIONAL ORDER* 76 5.6 CONCLUSIONS AND FURTHER WORK * 78 REFERENCES * 82 6 FEEDBACK CONTROL OF CROWDS OF PEDESTRIANS AT MACRO-SCALE * 85 6.1 INTRODUCTION ----- 85 6.2 FRACTIONAL MACROSCOPIC MODEL * 87 6.2.1 MACROSCOPIC MODEL OF INTEGER ORDER IN ONE-DIMENSIONAL CORRIDOR * 87 6.2.2 MACROSCOPIC MODEL OF FRACTIONAL ORDER IN ONE-DIMENSIONAL CORRIDOR * 88 6.2.3 MACROSCOPIC MODEL OF FRACTIONAL ORDER IN TWO-DIMENSIONAL SPACE * 89 6.3 CONTROLLER DESIGN FOR CROWDS OF PEDESTRIANS * 90 6.3.1 CONTROLLER OF INTEGER ORDER * 90 6.3.2 CONTROLLER OF FRACTIONAL ORDER * 90 6.4 SIMULATION RESULTS------92 6.4.1 SIMULATION IN CLOSED AND SQUARED AREA WITHOUT EXITS * 93 6.4.2 SIMULATION IN CLOSED AND SQUARED AREA WITH ONE EXIT * 98 6.5 CONCLUSION ----- 98 REFERENCES * 100 7 INTELLIGENT EVACUATION SYSTEMS FOR CROWDS OF PEDESTRIANS * 103 7.1 INTRODUCTION * 103 7.2 BIG MAP FOR INTELLIGENT EVACUATION SYSTEMS * 104 7.2.1 MODELING CROWDS OF PEDESTRIANS USING FRACTIONAL CALCULUS * 104 7.2.2 CONTROL OF CROWDS OF FRACTIONAL ORDER * 107 7.3 SIMULATION PLATFORM FOR MODELING AND EVACUATION OF CROWDS * 109 7.3.1 DIFF-MAS2D [25] ----- 109 7.3.2 FO-DMT-MAS2D [6, 7 ]------110 7.4 EXPERIMENT PLATFORM FOR MODELING AND EVACUATION OF CROWDS * 113 7.4.1 CONTROL ARCHITECTURE * 113 7.4.2 DATA ACQUISITION * 115 7.4.3 DATA EXTRACTION * 117 7.5 CONCLUSION ----- 118 REFERENCES * 119 INDEX * 123
any_adam_object	1
author	Cao, Kecai Chen, Yangquan 1966-
author_GND	(DE-588)121213277
author_facet	Cao, Kecai Chen, Yangquan 1966-
author_role	aut aut
author_sort	Cao, Kecai
author_variant	k c kc y c yc
building	Verbundindex
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dewey-hundreds	300 - Social sciences
dewey-ones	363 - Other social problems and services
dewey-raw	363.3230151583
dewey-search	363.3230151583
dewey-sort	3363.3230151583
dewey-tens	360 - Social problems and services; associations
discipline	Technik Soziologie Mathematik Verkehr / Transport
format	Book
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spelling	Cao, Kecai Verfasser aut Fractional order crowd dynamics cyber-human system modeling and control Kecai Cao, YangQuan Chen Berlin De Gruyter [2018] © 2018 XI, 121 Seiten Illustrationen, Diagramme, Karten 24 cm txt rdacontent n rdamedia nc rdacarrier Fractional calculus in applied sciences and engineering volume 4 Evakuierung (DE-588)4273621-3 gnd rswk-swf Menschenmenge (DE-588)4604994-0 gnd rswk-swf Gebrochene Analysis (DE-588)4722475-7 gnd rswk-swf Fußgängerverkehr (DE-588)4155750-5 gnd rswk-swf Mensch-Maschine-System (DE-588)4038662-4 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Fußgängerverkehr (DE-588)4155750-5 s Menschenmenge (DE-588)4604994-0 s Evakuierung (DE-588)4273621-3 s Mathematisches Modell (DE-588)4114528-8 s Gebrochene Analysis (DE-588)4722475-7 s DE-604 Mensch-Maschine-System (DE-588)4038662-4 s 1\p DE-604 Chen, Yangquan 1966- Verfasser (DE-588)121213277 aut Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als 9783110473995 Erscheint auch als Online-Ausgabe, PDF 978-3-11-047398-8 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-047283-7 Fractional calculus in applied sciences and engineering volume 4 (DE-604)BV045897010 4 B:DE-101 application/pdf http://d-nb.info/1102904759/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030947176&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Cao, Kecai Chen, Yangquan 1966- Fractional order crowd dynamics cyber-human system modeling and control Fractional calculus in applied sciences and engineering Evakuierung (DE-588)4273621-3 gnd Menschenmenge (DE-588)4604994-0 gnd Gebrochene Analysis (DE-588)4722475-7 gnd Fußgängerverkehr (DE-588)4155750-5 gnd Mensch-Maschine-System (DE-588)4038662-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd
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title	Fractional order crowd dynamics cyber-human system modeling and control
title_auth	Fractional order crowd dynamics cyber-human system modeling and control
title_exact_search	Fractional order crowd dynamics cyber-human system modeling and control
title_full	Fractional order crowd dynamics cyber-human system modeling and control Kecai Cao, YangQuan Chen
title_fullStr	Fractional order crowd dynamics cyber-human system modeling and control Kecai Cao, YangQuan Chen
title_full_unstemmed	Fractional order crowd dynamics cyber-human system modeling and control Kecai Cao, YangQuan Chen
title_short	Fractional order crowd dynamics
title_sort	fractional order crowd dynamics cyber human system modeling and control
title_sub	cyber-human system modeling and control
topic	Evakuierung (DE-588)4273621-3 gnd Menschenmenge (DE-588)4604994-0 gnd Gebrochene Analysis (DE-588)4722475-7 gnd Fußgängerverkehr (DE-588)4155750-5 gnd Mensch-Maschine-System (DE-588)4038662-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd
topic_facet	Evakuierung Menschenmenge Gebrochene Analysis Fußgängerverkehr Mensch-Maschine-System Mathematisches Modell
url	http://d-nb.info/1102904759/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030947176&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV045897010
work_keys_str_mv	AT caokecai fractionalordercrowddynamicscyberhumansystemmodelingandcontrol AT chenyangquan fractionalordercrowddynamicscyberhumansystemmodelingandcontrol AT walterdegruytergmbhcokg fractionalordercrowddynamicscyberhumansystemmodelingandcontrol

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