We study discretisation effects in cellular automata models for pedestriandynamics by reducing the cell size. Then a particle occupies more than one cellwhich leads to subtle effects in the dynamics, e.g. non-local conflictsituations. Results from computer simulations of the floor field model arecompared with empirical findings. Furthermore the influence of increasing themaximal walking speed $v_{{\rm max}}$ is investigated by increasing theinteraction range beyond nearest neighbour interactions. The extension of themodel to $v_{{\rm max}}>1$ turns out to be a severe challenge which can besolved in different ways. Four major variants are discussed that take intoaccount different dynamical aspects. The variation of $v_{{\rm max}}$ hasstrong influence on the shape of the flow-density relation. We show thatwalking speeds $v_{{\rm max}}>1$ lead to results which are in very goodagreement with empirical data.
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机译：我们通过减小像元大小来研究行人动力学的元胞自动机模型中的离散化效果。然后，一个粒子占据一个以上的细胞，从而导致动力学中的细微影响，例如非本地冲突。将地板场模型的计算机模拟结果与经验发现进行了比较。此外，通过增加交互范围超出最近的邻居交互，来研究增加最大步行速度$ v _ {{\ rm max}} $的影响。将模型扩展到$ v _ {{\ rm max}}> 1 $确实是一个严峻的挑战，可以通过不同的方式解决。讨论了四个主要变体，它们考虑了不同的动力学方面。 $ v _ {{\ rm max}} $的变化对流量密度关系的形状有很大影响。我们表明，行走速度$ v _ {{\ rm max}}> 1 $会导致与经验数据非常吻合的结果。
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