Abstract The operation of a dockless bicycle-sharing system is modeled by a stochastic system characterized by two kinds of interacting components, the distribution of bicycles on a sidewalk and behaviors of riders, whose simple and basic actions lead to complex results. From the model, the collective behavior emerging in the bicycle-sharing system is described by a nonlinear evolutionary equation for the density of bicycles on the sidewalk, which has a non-trivial lump solution. The solution describes a heap of bicycles at somewhere on the sidewalk, and the width and the movement of the heap is determined by the mean behaviors of riders. Such a lump solution implies that the phenomenon of clogging sidewalks may be an endogenous processes within some dockless bicycle-sharing system.

中文翻译：

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无桩共享单车系统导致人行道堵塞的演变：随机粒子模型

摘要 无桩共享单车系统的运行由一个随机系统建模，该系统具有两种交互组件，即自行车在人行道上的分布和骑手的行为，其简单和基本的动作导致复杂的结果。从模型中，共享单车系统中出现的集体行为由人行道上自行车密度的非线性演化方程描述，该方程具有非平凡的块解。该解决方案描述了人行道上某处的一堆自行车，堆的宽度和运动由骑手的平均行为决定。这种一揽子解决方案意味着堵塞人行道的现象可能是某些无桩共享单车系统中的内生过程。