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Design of evacuation strategies with crowd density feedback
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0002-7111-4705
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0003-0177-1993
2016 (English)In: Science China Information Sciences, ISSN 1674-733X, E-ISSN 1869-1919, Vol. 59, no 1, 1-11 p.Article in journal (Refereed) Published
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Abstract [en]

A second-order stochastic model describing a large scale crowd is formulated, and an efficient evacuation strategy for agents in complex surroundings is proposed and solved numerically. The method consists in reshaping the crowd contour by making use of the crowd density feedback that is commonly available from geolocation technologies, and Kantorovich distance is used to transport the current shape into the desired one. The availability of the crowd density enables to solve the otherwise challenging forward-backward problem. Using this approach, we demonstrate via numerical results that the crowd migrates through the complex environment as designed.

Place, publisher, year, edition, pages
Science in China Press , 2016. Vol. 59, no 1, 1-11 p.
Keyword [en]
congestion control, crowd dynamics, multi-agent system, optimal control, stochastic differential equation
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-181457DOI: 10.1007/s11432-015-5508-2ISI: 000368314000005Scopus ID: 2-s2.0-84953836236OAI: oai:DiVA.org:kth-181457DiVA: diva2:900128
Note

QC 20160203

Available from: 2016-02-03 Created: 2016-02-02 Last updated: 2016-02-24Bibliographically approved

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