A REACTIVE DYNAMIC CONTINUUM USER EQUILIBRIUM MODEL FOR BI-DIRECTIONAL PEDESTRIAN FLOWS

查看全文 作　　者：Yanqun [1]Jiang;Tao [1]Xiong;S.C. [2]Wong;Chi-Wang [3]Shu;Mengping [1]Zhang;Peng [4]Zhang;William H.K. [5]Lam

机构地区：[1]Department of Mathematics, University of Science and Technology of China, Hefei 230026, China;[2]Department of Civil Engineering, The University of Hong Kong, Hong Kong, China;[3]Division of Applied Mathematics, Brown University, Providence, RI 02912, U.S.A.;[4]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;[5]Department of Civil and Structural Engineering, The Hong Kong Polytechnic University, Hong Kong, China

出　　处：《Acta Mathematica Scientia》索引2009年第29卷第6期,共15页

基　　金：supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (HKU 7183/06E);the University of Hong Kong (10207394);the National Natural Science Foundation of China (70629001 and 10771134) 摘　　要：In this paper, a reactive dynamic user equilibrium model is extended to simu-late two groups of pedestrians traveling on crossing paths in a continuous walking facility. Each group makes path choices to minimize the travel cost to its destination in a reactive manner based on instantaneous information. The model consists of a conservation law equation coupled with an Eikonal-type equation for each group. The velocity-density relationship of pedestrian movement is obtained via an experimental method. The model is solved using a finite volume method for the conservation law equation and a fast-marching method for the Eikonal-type equation on unstructured grids. The numerical results verify the rationality of the model and the validity of the numerical method. Based on this continuum model, a number of results, e.g., the formation of strips or moving clusters composed of pedestrians walking to the same destination, are also observed. 关键词：用户平衡模型连续体双向无功耦合方程有限体积法旅游设施均衡模型

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A REACTIVE DYNAMIC CONTINUUM USER EQUILIBRIUM MODEL FOR BI-DIRECTIONAL PEDESTRIAN FLOWS

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