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一种求解点到点的最短路径的高效下界算法(英文)

An efficient lower-boundingapproach to point-to-point shortest path problem

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【作者】 张钟吕敏孙广中陈国良

【Author】 ZHANG Zhong;LV Min;SUN Guangzhong;CHEN Guoliang;School of Computer Science and Technology,University of Science and Technology of China;

【机构】 中国科学技术大学计算机科学与技术学院

【摘要】 在许多应用中,实时计算一个源点到一个目的点的最短路径是一个非常重要的问题.学术界已经提出若干下界算法求解点到点的最短路径问题,如A*算法,ALT算法等.这些算法所使用的距离估值比较松散,仍然有很大的提升潜力.ACT算法是一种新的两阶段目标制导下界算法,它组合使用了A*搜索,中心点和三角不等式,并且不依赖于特定领域的先验知识.新算法充分利用了预处理数据,可以获得非常好的距离下界.在真实路网上的实验结果表明,新算法的性能明显优于以往的算法.在某些实例下,最优版本的ACT算法所扩展的顶点数量仅仅比最短路径上的顶点数量多25%左右.

【Abstract】 Querying for the shortest path from a source vertex to a sink vertex in real time is a fundamental problem in numerous applications.Several lower-bounding schemes have been proposed to solve the problem so far,such as A*search and ALT algorithm.But these schemes adopted loose valuations on distance so that there are great potentialities for improving the lower bounds.A novel two-stage goal directed lower-bounding approach,called ACT algorithm,was proposed,which combined A*search,centers and triangle inequality with no prior domain knowledge.Unlike previous schemes,the new algorithm can obtain excellent distance bounds by exploiting a large number of pre-computed data.The experimental results on real road networks show that ACT algorithm significantly outperforms all previous algorithms.In some instances,the vertices scanned by ACT algorithm are only about 25% more than those on optimal paths.

【基金】 Supported by National Natural Science Foundation of China(61033009,61303047)
  • 【文献出处】 中国科学技术大学学报 ,Journal of University of Science and Technology of China , 编辑部邮箱 ,2014年10期
  • 【分类号】TP301.6
  • 【被引频次】2
  • 【下载频次】151
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