Modeling and Simulation of Macroscopic Pedestrian Flow Models

被引：3

作者：

Mahato, Naveen Kumar ^{[1
]}

Klar, Axel ^{[1
]}

Tiwari, Sudarshan ^{[1
]}

机构：

[1] Tech Univ Kaiserslautern, Dept Math, Kaiserslautern, Germany

来源：

PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2018 | 2019年 / 30卷

关键词：

D O I：

10.1007/978-3-030-27550-1_55

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Mathematical modeling and numerical simulation of human crowd motion have become a major subject of research with a wide field of applications. A variety of models for pedestrian behavior have been proposed on different levels of description in recent years. Macroscopic pedestrian flow model involving equations for density and mean velocity of the flow is derived in Bellomo and Dogbe (Math. Models Methods Appl. Sci. 18:1317-1345, 2008), Burger et al. (Discrete Contin. Dynam. Systems Ser. B: J. Bridging Math. Sci. 19:1311-1333, 2014), Hughes (Transp. Res. B Methodol. 36:507-535, 2000) and Mahato et al. (Appl. Math. Model. 53:447-461, 2018; Int. J. Adv. Eng. Sci. Appl. Math. 10:41-53, 2018).

引用

页码：437 / 444

页数：8

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