SPLZ: An efficient algorithm for single source shortest path problem using compression method

SPLZ: An efficient algorithm for single source shortest path problem using compression method
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SPLZ:一种使用压缩方法解决单源最短路径问题的高效算法

DOI:
10.1007/s10707-015-0229-7
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发表时间:
2014-08
期刊:
影响因子:
2
通讯作者:
Sun, Guangzhong
Sun, Guangzhong
中科院分区:
计算机科学4区
文献类型:
--
作者:
Sun, Jingwei;Sun, Guangzhong

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道路网络上的单源最短路径(SSSP)问题的有效解决方案是许多现实世界的应用的重要要求。本文介绍了一种利用压缩方法求解SSSP问题的算法。由于预先计算并存储了所有对的最短路径(APSP),求解SSSP问题的过程是从预先计算的APSP中查找少量数据并解压缩。没有压缩的APSP需要至少1TB的内存,用于拥有100万个顶点的道路网络。我们的算法可以将这样一个APSP压缩到几个GB,并保证了良好的解压缩性能。在美国西北部的一个数据集(120万个顶点)上的实验中,我们的方法比基于二进制堆的Dijkstra算法快了大约三个数量级。
Efficient solution of the single source shortest path (SSSP) problem on road networks is an important requirement for numerous real-world applications. This paper introduces an algorithm for the SSSP problem using compression method. Owning to precomputing and storing all-pairs shortest path (APSP), the process of solving SSSP problem is a simple lookup of a little data from precomputed APSP and decompression. APSP without compression needs at least 1TB memory for a road network with one million vertices. Our algorithm can compress such an APSP into several GB, and ensure a good performance of decompression. In our experiment on a dataset about Northwest USA (with 1.2 millions vertices), our method can achieve about three orders of magnitude faster than Dijkstra algorithm based on binary heap.
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