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Modelling pedestrian dynamics into a metro station by thermostatted kinetic theory methods
Mathematical and Computer Modelling of Dynamical Systems ( IF 1.9 ) Pub Date : 2018-02-05 , DOI: 10.1080/13873954.2018.1432664
Carlo Bianca 1, 2 , Caterina Mogno 2, 3
Affiliation  

ABSTRACT This paper deals with the modelling of pedestrian dynamics at the entry of a metro station by means of the thermostatted kinetic theory framework. Specifically, the model depicts the time evolution of the pedestrian dynamics at the turnstiles under no panic conditions. The modelling of the microscopic interactions is based on the stochastic game theory and reflects the decision dynamics of the turnstiles pursued by pedestrians. A qualitative analysis is addressed to the equilibrium solutions by means of the classical stability theory of perturbations. Numerical simulations aim at showing the emerging behaviours captured by the model. In particular the model validation is obtained by performing a sensitivity analysis on the parameters and on the initial conditions. Further refinements and research perspective, including the modelling under panic conditions, are discussed in the last section of the paper.

中文翻译:

用恒温动力学理论方法模拟地铁站的行人动力学

摘要本文利用恒温动力学理论框架对地铁站入口处的行人动力学进行建模。具体来说,该模型描绘了在没有恐慌情况下旋转门处行人动态的时间演变。微观相互作用的建模基于随机博弈论,反映了行人追逐的旋转门的决策动态。通过扰动的经典稳定性理论对平衡解进行定性分析。数值模拟旨在显示模型捕获的新兴行为。特别是模型验证是通过对参数和初始条件进行敏感性分析来获得的。进一步细化和研究视角,
更新日期:2018-02-05
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