Speeding up the Floyd-Warshall algorithm for the cycled shortest path problem

被引：66

作者：

Aini, Asghar ^{[2
]}

Salehipour, Amir ^{[1
]}

机构：

[1] Islamic Azad Univ, S Tehran Branch, Sch Ind Engn, Tehran, Iran

[2] Shahid Sattari Air Univ, Sch Comp Engn, Tehran 1384637945, Iran

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 01期

关键词：

The shortest path problem with a cycle; The Floyd-Warshall algorithm; The Rectangular algorithm;

D O I：

10.1016/j.aml.2011.06.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

On a network with a cycle, where at least one cycle exists, the Floyd-Warshall algorithm is one of the algorithms most used for determining the least cost path between every pair of nodes. In this work a new algorithm for this problem is developed that requires less computational effort than the Floyd-Warshall algorithm. Furthermore, we show that the basis of our algorithm is much easier to understand, which might be an advantage for educational purposes. A small example validates our algorithm and shows its implementation. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1 / 5

页数：5

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