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首页> 外文期刊>Automatica Sinica, IEEE/CAA Journal of >A fractional micro-macro model for crowds of pedestrians based on fractional mean field games
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A fractional micro-macro model for crowds of pedestrians based on fractional mean field games

机译：基于分数均值场博弈的行人人群分数微宏模型

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摘要

Modeling a crowd of pedestrians has been considered in this paper from different aspects. Based on fractional microscopic model that may be much more close to reality, a fractional macroscopic model has been proposed using conservation law of mass. Then in order to characterize the competitive and cooperative interactions among pedestrians, fractional mean field games are utilized in the modeling problem when the number of pedestrians goes to infinity and fractional dynamic model composed of fractional backward and fractional forward equations are constructed in macro scale. Fractional micromacro model for crowds of pedestrians are obtained in the end. Simulation results are also included to illustrate the proposed fractional microscopic model and fractional macroscopic model, respectively.
机译：本文从不同方面考虑了对行人人群进行建模。基于可能更接近现实的分数微观模型，使用质量守恒定律提出了分数宏观模型。然后，为了表征行人之间的竞争与合作互动，在行人数量达到无穷大的建模问题中利用分数平均场博弈，并在宏观尺度上构建了由分数向后和分数正向方程组成的分数动态模型。最后，得到了行人的分数微宏模型。还包括仿真结果以分别说明所提出的分数微观模型和分数宏观模型。

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