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最短路问题的一种新动态规划算法

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易颖华 叶祥企 杭海霞

江西师范大学数学与信息科学学院,江西南昌330022

江西科学
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国际标准刊号:ISSN 1001-3679
国内统一刊号:CN 36-1093

摘  要:

结合并行处理及顺序(逆序)递推算法的思想,对有循环不带负弧的有向图中特别指定的2个节点之间的最短路问题提出了一种新的动态规划算法,且新算法在搜索结果上与狄克斯拉(Dijkstra)标号算法相同,但因为新算法采用了双向递推的思想,因而其搜索速度明显优于Dijkstra标号算法。[著者文摘]

New Dynamic Programming Algorithm for the Shortest Path Problem YI Ying—hua,YE Xiang—qi,HANG Hai—xia (Mathematics and Information Department,Jiangxi Normal University,Jiangxi Nanchang 330022 PRC) Abstract:In this paper,uniting the thought of the parallel process and the forward(backward)re—cursion algorithm,a new dynamic programming algorithm is presented to solve the shortest path prob—lem between two notes in the directed gr......
Jiangxi Science

栏目信息:

研究进展

分 类 号:

O242.23

文献标识码:

A

文章编号:

1001-3679(2008)01-0089-03

相关文章:

参考文献(4篇)  主题相关

[参考文献]

A New Dynamic Programming Algorithm for the Shortest Path Problem

YI Ying-hua, YE Xiang-qi, HANG Hai-xia (Mathematics and Information Department,Jiangxi Normal University,Jiangxi Nanchang 330022 PRC)

Abstract:

In this paper, unifying the thought of the parallel process and the torward(backward) recursion algorithm, a new dynamic programming algorithm is presented to solve the shortest path problem between two notes in the directed graph which is cyclic and without negative arc. The new algorithm is same in the search result with the Dijkstra label algorithm. Because it adopts bidirectional recursion method, so the search speed obviously surpasses the Dijkstra label algorithm.[著者文摘]

Key words:

Dynamic programming, Optimal strategy, Indicator function

收稿日期: 2007-10-15
修订日期: 2007-10-25

作者简介:

易颖华(1977-),男,江西吉安人,在读硕士研究生,研究方向:数学规划。

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