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Kth最短路径的Bellman改进算法 被引量:4

An Improved Bellman Algorithm for the Kth-shortest Path Problem
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摘要 基于对Bellm an算法的改进,得到了求解k th最短路的新算法.改进算法的优势在于从Bellm an算法只能解决最短路问题拓展到求解k th最短路问题,而且可以考虑权重为负数的情况.与传统算法相比,新算法更易于理解. Based on the Bellman algorithm, we make an improvement to get a new algorithm of solving the kth shortest path problem. The advantage of this method is expanding the coverage of Bellman algorithm from solving the shortest path to the kth-shortest path, and taking the minus weight value into account. Furthermore, the new algorithm itself is not far to seek, comparing with the traditional one.
出处 《数学的实践与认识》 CSCD 北大核心 2006年第1期215-219,共5页 Mathematics in Practice and Theory
关键词 kth最短路径 次短路径 路径追踪 改进算法 传统算法 kth-shortest path Shortest path 2^nd-shortest path Path tracing
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  • 1W. Hoffman AND R. Pavley,''A Method for the solution of the Nth Bext Path Problem'', J ACM Volume 6,506 - 514(1959).
  • 2R.Bellman AND R. Kalaba,''On Kth Best Policies'',J.SIAM Volume 8,582- 588(1960).
  • 3Richard Bellman, ''Solution of the Kth Best Route Through a Network-A Review'', Journal of Mathematical Analysis and Applications Volume 3,547 -559(1961).
  • 4Stuart E. Dreyfus, ''An Appraisal of Some Shortest-Path Algorithms'',J.ACM Volume 15,395 - 410(1968).
  • 5David Eppstein, ''Finding the k shortest paths'' , SIAM Journal on Computing Volume 28,652 - 673(1998).
  • 6W Hoffman,R Pavley.A Method for the solution of the Nth Bext Path Problem[J].ACM, 1959;6:506~514
  • 7Moore,Edward F.The shortest path through a maze. Paper presented at the International Symposium on the Theory of Switching at Harvard University, 1957
  • 8R Bellman, R Kalaba. On Kth Best Policies[J].SIAM, 1960; 8: 582~588
  • 9David Eppstein. Finding the k shortest paths[J].SIAM Journal on Computing, 1998; 28: 652~673
  • 10Corley H W, Sha D Y. Most vital links and nodes in weighted networks[J]. Oper Res Letters, 1982,(1):157-160.

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