ABSTRACT Dancing Viennese Waltz in one of the great historic ballrooms is an important and indispensable part of Austrian culture. This dance, while being tradition, is quite difficult to perform, especially if the dance-floor is crowded. There, it is additionally challenging to avoid collisions with other dancers, as they pace through the ballroom at a high velocity. Dependent on the dancer’s skill level, spinning speed can be adjusted to succeed. This paper presents an agent-based waltz model which makes it possible to investigate the influence of heterogeneously skilled dancers on the movement smoothness of the dancing crowd. Herein, each agent represents one dancing couple in reality and it moves on the dance-floor by a rotatory motion with periodically switching rotation axes. Interaction between agents occurs via inelastic collisions. By performing a couple of case studies, we analyse and quantify the widespread rumour that the presence of only a few unskilled dancers disturbs the flow of the dancing crowd.

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维也纳舞厅建模：基于代理的模拟以研究复杂行为

摘要 在历史悠久的大型宴会厅之一跳维也纳华尔兹舞是奥地利文化中不可或缺的重要组成部分。这种舞蹈虽然是传统，但很难表演，尤其是在舞池拥挤的情况下。在那里，避免与其他舞者发生碰撞也是一项挑战，因为他们以高速在舞厅中踱步。根据舞者的技能水平，可以调整旋转速度以取得成功。本文提出了一种基于代理的华尔兹模型，它可以研究异质熟练的舞者对跳舞人群运动流畅度的影响。在这里，每个智能体在现实中代表一对跳舞的情侣，它通过周期性切换旋转轴的旋转运动在舞池上移动。代理之间的交互通过非弹性碰撞发生。