基于Skyline路径的概率数据路网的高效路线规划

Arzoo Katiyar, Arnab Bhattacharya, Shubhadip Mitra
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引用次数: 4

摘要

本文主要研究道路网络中的有效路径搜索问题。给定一对源和目标位置,目标是找到一条从源到目标的路径,该路径按照用户指定的特定顺序访问k个不同类型的站点。路线规划问题有两个优化目标:最小化总路径长度和最大化从k个站点获得服务的概率。由于问题具有多目标性质,我们利用天际线设置,并根据两个聚合属性检索所有天际线路径。naïve确定路径长度的方法可能涉及大量的最短路径计算。虽然可以预先计算站点之间的最短路径,但无法以离线方式计算从源到第一种类型站点的最短路径和从最后一种类型站点到目的地的最短路径,因为源和目的地是仅在运行时可用的任意点。同样,k个不同类型站点的选择和顺序也仅在运行时指定。由于在大型道路网络中,不允许计算许多最短路径,因此我们采用启发式算法来近似解决问题。从源到站点(类似地,从站点到目的地)的最短路径计算通过引入参考点来近似。参考点的选择采用基于网格的划分方法在道路网络的底层空间。我们表明,上述启发式方法只引入了距离的附加误差,而没有引入服务的概率,同时减少了运行时间的数量级。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Efficient and Effective Route Planning in Road Networks with Probabilistic Data using Skyline Paths
In this paper, we study the problem of effective route search in road networks. Given a pair of source and destination locations, the aim is to find a path from the source to the destination that visits k different types of sites in a particular order as prescribed by the user. The route planning problem has two objectives to optimize: minimize the total path length and maximize the probability of getting served from the k sites. Since the problem has a multi-objective nature, we utilize the skyline setting and retrieve all skyline paths according to the two aggregated attributes. The naïve way of determining the path lengths can involve a large number of shortest path computations. Although the shortest paths between the sites can be pre-computed, the shortest paths from the source to the first type of site and those from the last type of site to the destination cannot be computed in an offline manner as the source and destination are arbitrary points that are available only at runtime. Similarly, the choice and order of the k different types of sites are also specified at runtime only. Since in a large road network, it is prohibitory to compute many shortest paths, we employ a heuristic to approximately solve the problem. The shortest path computation from the source to a site (and similarly, from a site to the destination) is approximated by introducing reference points. The reference points are chosen by employing a grid-based partitioning method on the space underlying the road network. We show that the above heuristic introduces only an additive error to the distance but not to the probability of service while reducing the running times by up to orders of magnitude.
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