NetClus：一种用于定位Top-K站点以放置轨迹感知服务的可扩展框架
NetClus: A Scalable Framework for Locating Top-K Sites for Placement of Trajectory-Aware Services
摘要：
设施位置查询确定建立新设施以向其用户提供服务的最佳位置。在这个领域中的大多数现有作品都假设用户位置是静态的。这样的限制对于规划许多现代现实生活中的服务（例如，加油站、ATM、便利店、手机基站等）来说过于限制，这些服务被移动用户广泛访问。因此，此类服务的安排应考虑到用户的移动模式或轨迹，而不仅仅是他们的静态位置。在这项工作中，我们介绍了TOPS（轨迹感知服务的最优配置）查询，定位最好的K个网站的道路网络。其目的是优化用户轨迹上定义的广泛类别的目标函数。我们证明了这个问题是NP-难的，即使是近似界为（1-1/e）的贪婪启发式算法也无法在城市规模的数据集上扩展。为了克服这一挑战，我们开发了一个基于多分辨率聚类的索引框架，称为NetClus。对真实道路网络轨迹数据集的实证研究表明，NetClus提供的解决方案在质量方面与贪婪启发式方法相当，同时具有实用的响应时间和低内存占用。此外，NetClus框架可以吸收移动模式的动态更新，处理站点成本和容量以及现有服务等限制，从而为现代城市规模的场景提供有效的解决方案。
英文摘要：
Facility location queries identify the best locations to set up new facilities for providing service to its users. Majority of the existing works in this space assume that the user locations are static. Such limitations are too restrictive for planning many modern real-life services such as fuel stations, ATMs, convenience stores, cellphone base-stations, etc. that are widely accessed by mobile users. The placement of such services should, therefore, factor in the mobility patterns or trajectories of the users rather than simply their static locations. In this work, we introduce the TOPS (Trajectory-Aware Optimal Placement of Services) query that locates the best k sites on a road network. The aim is to optimize a wide class of objective functions defined over the user trajectories. We show that the problem is NP-hard and even the greedy heuristic with an approximation bound of (1-1/e) fails to scale on urban-scale datasets. To overcome this challenge, we develop a multi-resolution clustering based indexing framework called NetClus. Empirical studies on real road network trajectory datasets show that NetClus offers solutions that are comparable in terms of quality with those of the greedy heuristic, while having practical response times and low memory footprints. Additionally, the NetClus framework can absorb dynamic updates in mobility patterns, handle constraints such as site-costs and capacity, and existing services, thereby providing an effective solution for modern urban-scale scenarios.
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