Traffic is a challenge in rural and urban areas alike with negative effects ranging from congestion to air pollution. Ride-sharing poses an appealing alternative to personal cars, combining the traffic-reducing ride bundling of public transport with much of the flexibility and comfort of personal cars. Here we study the effects of the underlying street network topology on the viability of ride bundling analytically and in simulations. Using numerical and analytical approaches we find that system performance can be measured in the number of scheduled stops per vehicle. Its scaling with the request rate is approximately linear and the slope, that depends on the network topology, is a measure of the ease of ridesharing in that topology. This dependence is caused by the different growth of the route volume, which we compute analytically for the simplest networks served by a single vehicle.

中文翻译：

---

按需拼车的拓扑依赖性

在乡村和城市地区，交通都是一个挑战，其负面影响从交通拥堵到空气污染不等。乘车共享是代替私人汽车的一种吸引人的选择，它将减少交通拥堵的公共交通与私人汽车的灵活性和舒适性结合在一起。在这里，我们通过分析和模拟研究基础街道网络拓扑结构对乘车捆绑的可行性的影响。使用数值和分析方法，我们发现可以用每辆车的预定停车次数来衡量系统性能。它与请求速率的比例近似为线性，并且斜率（取决于网络拓扑结构）是该拓扑结构中乘车便利性的度量。这种依赖性是由路线数量的不同增长引起的，