NDLI: On a mean field game optimal control approach modeling fast exit scenarios in human crowds

Content Provider	IEEE Xplore Digital Library
Author	Burger, M. Di Francesco, M. Markowich, P.A. Wolfram, M.-T.
Copyright Year	2013
Description	Author affiliation: King Abdullah Univ. of Sci. & Technol., Thuwal, Saudi Arabia (Markowich, P.A.) \|\| Inst. for Comput. & Appl. Math., Univ. of Munster, Munster, Germany (Burger, M.) \|\| Dept. of Math., Univ. of Vienna, Vienna, Austria (Wolfram, M.-T.) \|\| Dept. of Math. Sci., Univ. of Bath, Bath, UK (Di Francesco, M.)
Abstract	The understanding of fast exit and evacuation situations in crowd motion research has received a lot of scientific interest in the last decades. Security issues in larger facilities, like shopping malls, sports centers, or festivals necessitate a better understanding of the major driving forces in crowd dynamics. In this paper we present an optimal control approach modeling fast exit scenarios in pedestrian crowds. The model is formulated in the framework of mean field games and based on a parabolic optimal control problem. We consider the case of a large human crowd trying to exit a room as fast as possible. The motion of every pedestrian is determined by minimizing a cost functional, which depends on his/her position and velocity, the overall density of people, and the time to exit. This microscopic setup leads in a mean-field formulation to a nonlinear macroscopic optimal control problem, which raises challenging questions for the analysis and numerical simulations. We discuss different aspects of the mathematical modeling and illustrate them with various computational results.
Sponsorship	IEEE Control Syst. Soc.
Starting Page	3128
Ending Page	3133
File Size	238598
Page Count	6
File Format	PDF
ISBN	9781467357142
ISSN	07431546
e-ISBN	9781467357173
DOI	10.1109/CDC.2013.6760360
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-12-10
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Mathematical model Optimal control Boundary conditions Games Stochastic processes Computational modeling Numerical simulation
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Mean Field Games for Stochastic Growth with Relative Utility

Human Crowds and Groups Interactions: a Mean Field Games Approach

ε-Nash Mean Field Game theory for nonlinear stochastic dynamical systems with mixed agents

A solvable stochastic differential game in the two-sphere

A solution to the initial mean consensus problem via a continuum based Mean Field control approach

Human Crowds and Groups Interactions: a Mean Field Games Approach

Risk-sensitive mean field stochastic games

Mean field difference games: McKean-Vlasov dynamics

Hybrid risk-sensitive mean-field stochastic differential games with application to molecular biology

On a mean field game optimal control approach modeling fast exit scenarios in human crowds

Similar Documents

Mean Field Games for Stochastic Growth with Relative Utility

Human Crowds and Groups Interactions: a Mean Field Games Approach

ε-Nash Mean Field Game theory for nonlinear stochastic dynamical systems with mixed agents

A solvable stochastic differential game in the two-sphere

A solution to the initial mean consensus problem via a continuum based Mean Field control approach

Human Crowds and Groups Interactions: a Mean Field Games Approach

Risk-sensitive mean field stochastic games

Mean field difference games: McKean-Vlasov dynamics

Hybrid risk-sensitive mean-field stochastic differential games with application to molecular biology

On a mean field game optimal control approach modeling fast exit scenarios in human crowds