TIME-DELAYED FOLLOW-THE-LEADER MODEL FOR PEDESTRIANS WALKING IN LINE

被引：6

作者：

Fehrenbach, Jerome ^{[1
,2
]}

Narski, Jacek ^{[1
,2
]}

Hua, Jiale ^{[3
]}

Lemercier, Samuel ^{[4
]}

Jelic, Asja ^{[5
,6
,7
]}

Appert-Rolland, Cecile ^{[8
,9
]}

Donikian, Stephane ^{[10
]}

Pettre, Julien ^{[4
]}

Degond, Pierre ^{[11
]}

机构：

[1] Univ Toulouse, Inst Math Toulouse, UPS, INSA,UT1,UTM, F-31062 Toulouse, France

[2] CNRS, Inst Math Toulouse UMR 5219, F-31062 Toulouse, France

[3] Donghua Univ, Shanghai 201620, Peoples R China

[4] INRIA Rennes, Bretagne Atlant, F-35042 Rennes, France

[5] UOS Sapienza, Consiglio Nazl Ric, Ist Sistemi Complessi, I-00185 Rome, Italy

[6] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy

[7] Abdus Salam Int Ctr Theoret Phys ICTP, I-34014 Trieste, Italy

[8] Univ Paris 11, Phys Theor Lab, F-91405 Orsay, France

[9] CNRS, LPT, UMR 8627, F-91405 Orsay, France

[10] Golaem SAS, F-35700 Rennes, France

[11] Univ London Imperial Coll Sci Technol & Med, London SW7 2AZ, England

来源：

NETWORKS AND HETEROGENEOUS MEDIA | 2015年 / 10卷 / 03期

关键词：

Motion capture; individual tracking; individual-based model; following behavior; relaxation; jam; FLOW; SIMULATION; DYNAMICS; CONGESTION; NAVIGATION; BEHAVIOR;

D O I：

10.3934/nhm.2015.10.579

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the results of a pedestrian tracking experiment to identify a follow-the-leader model for pedestrians walking-in-line. We demonstrate the existence of a time-delay between a subject's response and the predecessor's corresponding behavior. This time-delay induces an instability which can be damped out by a suitable relaxation. By comparisons with the experimental data, we show that the model reproduces well the emergence of large-scale structures such as congestions waves. The resulting model can be used either for modeling pedestrian queuing behavior or can be incorporated into bi-dimensional models of pedestrian traffic.

引用

页码：579 / 608

页数：30

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