کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4664912 | 1345314 | 2009 | 15 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A reactive dynamic continuum user equilibrium model for bi-directional pedestrian flows A reactive dynamic continuum user equilibrium model for bi-directional pedestrian flows](/preview/png/4664912.png)
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.
Journal: Acta Mathematica Scientia - Volume 29, Issue 6, November 2009, Pages 1541-1555