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The evolution of a clogging sidewalk caused by a dockless bicycle-sharing system: A stochastic particles model

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  • Liu, Junrong
  • Duan, Qihong
  • Ma, Wen-Xiu

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.

Suggested Citation

  • Liu, Junrong & Duan, Qihong & Ma, Wen-Xiu, 2020. "The evolution of a clogging sidewalk caused by a dockless bicycle-sharing system: A stochastic particles model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 516-526.
    • Handle: RePEc:eee:matcom:v:177:y:2020:i:c:p:516-526
    DOI: 10.1016/j.matcom.2020.04.030
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    References listed on IDEAS

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