网络线束：公共交通网络中的路线束
Network harness: bundles of routes in public transport networks
摘要：
公共交通路线共享相同的街道和轨道网格，经常发现沿着较短或较长的车站序列平行行进。类似的现象在其他网络中观察到的空间消耗的链接，如电缆，船舶，管道，神经元等，在公共交通网络（PTNs）的情况下，这种行为可以很容易地制定出的基础上，每个路由服务的站的序列。为了量化这种行为，我们使用了最近引入的网络线束概念。它由线束分布P（r，s）描述：由r条平行路线服务的s个连续站点的序列数。对于我们已经分析的某些PTNs，我们观察到线束分布可以由幂律描述。所观察到的这些幂律表明了一定程度的组织和规划，这可能是由于需要尽量减少基础设施的成本，其次是由于兴趣点往往集中在城市的某些地点。这种效应可以被看作是城市及其PTN演变的强烈相互依赖性的结果。为了进一步研究的实证结果的意义，我们研究了一维和二维模型的随机放置的路线建模不同类型的步行。虽然在一个维度上的分析处理是成功的，二维的情况下进行了研究，模拟显示，真正的PTNs的经验结果偏离随机放置的路由的预期显着。
英文摘要：
Public transport routes sharing the same grid of streets and tracks are often found to proceed in parallel along shorter or longer sequences of stations. Similar phenomena are observed in other networks built with space consuming links such as cables, vessels, pipes, neurons, etc. In the case of public transport networks (PTNs) this behavior may be easily worked out on the basis of sequences of stations serviced by each route. To quantify this behavior we use the recently introduced notion of network harness. It is described by the harness distribution P(r,s): the number of sequences of s consecutive stations that are serviced by r parallel routes. For certain PTNs that we have analyzed we observe that the harness distribution may be described by power laws. These power laws observed indicate a certain level of organization and planning which may be driven by the need to minimize the costs of infrastructure and secondly by the fact that points of interest tend to be clustered in certain locations of a city. This effect may be seen as a result of the strong interdependence of the evolutions of both the city and its PTN. To further investigate the significance of the empirical results we have studied one- and two-dimensional models of randomly placed routes modeled by different types of walks. While in one dimension an analytic treatment was successful, the two dimensional case was studied by simulations showing that the empirical results for real PTNs deviate significantly from those expected for randomly placed routes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
