Label-constrained shortest path query processing on road networks

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Abstract

Computing the shortest path between two vertices is a fundamental problem in road networks. Most of the existing works assume that the edges in the road networks have no labels, but in many real applications, the edges have labels and label constraints may be placed on the edges appearing on a valid shortest path. Hence, we study the label-constrained shortest path queries in this paper. In order to process such queries efficiently, we adopt an index-based approach and propose a novel index structure, \(\textsf{LSD}\) - \(\textsf{Index}\) , based on tree decomposition. With \(\textsf{LSD}\) - \(\textsf{Index}\) , we design efficient query processing and index construction algorithms with good performance guarantees. Moreover, due to the dynamic properties of real-world networks, we also devise index maintenance algorithms that can maintain the index efficiently. To evaluate the performance of proposed methods, we conduct extensive experimental studies using large real road networks including the whole USA road network. Compared with the state-of-the-art approach, the experimental results demonstrate that our algorithm not only achieves up to two orders of magnitude speedup in query processing time but also consumes much less index space. Meanwhile, the experimental results also show that the index can also be efficiently constructed and maintained for dynamic graphs.

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道路网络上的标签约束最短路径查询处理
摘要 计算两个顶点之间的最短路径是道路网络中的一个基本问题。现有的大多数研究都假设道路网络中的边没有标签,但在许多实际应用中,边是有标签的,而且在有效的最短路径上出现的边可能会受到标签约束。因此,我们在本文中研究了标签约束的最短路径查询。为了高效地处理这类查询,我们采用了一种基于索引的方法,并提出了一种基于树分解的新型索引结构--(\textsf{LSD}\)-(\textsf{索引}\)。有了\(\textsf{LSD}\) -\(\textsf{Index}\) ,我们就能设计出高效的查询处理和索引构建算法,并能保证良好的性能。此外,由于真实世界网络的动态特性,我们还设计了能够高效维护索引的索引维护算法。为了评估所提出方法的性能,我们使用大型真实道路网络(包括整个美国道路网络)进行了广泛的实验研究。实验结果表明,与最先进的方法相比,我们的算法不仅在查询处理时间上加快了两个数量级,而且消耗的索引空间也少得多。同时,实验结果还表明,对于动态图,我们也能高效地构建和维护索引。
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