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Model and application of bidirectional pedestrian flows at signalized crosswalks

Chinese Physics B 2018年第7期27卷 606-618页

作者： Tao Zhang Gang Ren Zhi-Gang Yu Yang Yang Jiangsu Key Laboratory of Urban ITS Southeast UniversityNanjing 210096China

This research of bidirectional pedestrian flows at signalized crosswalks is divided into two parts： model and applica- tion. In the model part, a mixed survey including the questionnaire investigation and tracking investigation is conducted to gain the basic data about walking tendentiousness of a pedestrian crossing. Then, the forward, right-hand, outstripping, and influential coefficients are outlined to quantize walking tendentiousness of pedestrian crossing and estimate transition probabilities of pedestrians. At last, an improved cellular automation model is proposed to describe walking tendentious- ness and crossing behaviors of pedestrians. In the application part, channelization research of bidirectional pedestrian flows is presented for real signalized crosswalk. In this process, the effects of right-side-walking and conformity behaviors on the efficiency of pedestrian crossing are thoroughly analyzed based on simulations and experiments to obtain a final channelization method to raise the efficiency of a pedestrian crossing at the crosswalk.

关键词： pedestrian flows right-side-walking behavior conformity behavior simulation

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A REACTIVE DYNAMIC CONTINUUM USER EQUILIBRIUM MODEL FOR BI-DIRECTIONAL pedestrian flows

引用

Acta Mathematica Scientia 2009年第6期29卷 1541-1555页

作者： Yanqun Jiang Tao Xiong S.C. Wong Chi-Wang Shu Mengping Zhang Peng Zhang William H.K. Lam Department of Mathematics University of Science and Technology of China Hefei 230026 China Department of Civil Engineering The University of Hong Kong Hong Kong China Division of Applied Mathematics Brown University Providence RI 02912 U.S.A. Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China Department of Civil and Structural Engineering The Hong Kong Polytechnic University Hong Kong China

In this paper, a reactive dynamic user equilibrium model is extended to simulate 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： pedestrian flows conservation law Eikonal-type equation density-velocity relationship finite volume method fast marching method unstructured grids

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