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一种新的Kth最短路径搜索算法 被引量:11

A New Algorithm for Finding Kth Shortest Path
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摘要 借助于“背离”路径的概念,论文在2nd最短路径搜索算法的基础上提出了一种新的Kth最短路径搜索算法,并将其应用至实际环境中。通过K-1次2nd最短路径搜索算法的迭代,该算法可以求出网络中任意两个给定节点之间的Kth最短路径,2nd最短路径搜索算法在计算上具有简单性,因而也同样具有简洁、快速的特点。 We describe a new algorithm to figure out the Kth shortest simple(loopless)path in a undirected graph and report on its implementation.Our algorithm is based on 2nd shortest path algorithm and ″deviation path″.By K-1 times iteration of 2nd shortest path algorithm,we can finally find the Kth shortest path between two nodes assigned conveniently and quickly.
出处 《计算机工程与应用》 CSCD 北大核心 2004年第30期49-50,89,共3页 Computer Engineering and Applications
关键词 Kth最短路径 最短路径 “背离” 路径 Kth Shortest Path,shortest path,deviation path
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参考文献4

  • 1W Hoffman,R Pavley.A Method for the solution of the Nth Bext Path Problem[J].ACM, 1959;6:506~514
  • 2Moore,Edward F.The shortest path through a maze. Paper presented at the International Symposium on the Theory of Switching at Harvard University, 1957
  • 3R Bellman, R Kalaba. On Kth Best Policies[J].SIAM, 1960; 8: 582~588
  • 4David Eppstein. Finding the k shortest paths[J].SIAM Journal on Computing, 1998; 28: 652~673

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