2012Journal of Gansu SciencesRequires access

An Optimized Approach for Shortest Path Determination Based on Floyd Algorithm

Han Hui

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Abstract

The Floyd and Dijkstra shortest path algorithms are classical algorithms which have been widely used in spatial analysis and other areas.Traditional research of the shortest path algorithm focuses on the application of the algorithm and the optimization of one kind of algorithm;the combination of two kinds of optimized methods is rarely seen.This paper attempts to use the method of combining the Floyd algorithm with Dijkstra algorithm and the optimization of the code of traditional Floyd algorithm by taking the Lanzhou—Beijing railway transportation system as an example.The spatial-temporal complexities before and after the optimization of the algorithm,are compared.The experimental results show that the optimized algorithm has greatly reduced the computational count and the operational time.As a result,the algorithm efficiency is improved.

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What this paper is about

The Floyd and Dijkstra shortest path algorithms are classical algorithms which have been widely used in spatial analysis and other areas.Traditional research of the shortest path algorithm focuses on the application of the algorithm and the optimization of one kind of algorithm;the combination of two kinds of optimized methods is rarely seen.This paper attempts to use the method of combining the Floyd algorithm with Dijkstra algorithm and the optimization of the code of traditional Floyd algorithm by taking the Lanzhou—Beijing railway transportation system as an example.The spatial-temporal complexities before and after the optimization of the algorithm,are compared.The experimental results show that the optimized algorithm has greatly reduced the computational count and the operational time.As a result,the algorithm efficiency is improved.

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Available abstract

The Floyd and Dijkstra shortest path algorithms are classical algorithms which have been widely used in spatial analysis and other areas.Traditional research of the shortest path algorithm focuses on the application of the algorithm and the optimization of one kind of algorithm;the combination of two kinds of optimized methods is rarely seen.This paper attempts to use the method of combining the Floyd algorithm with Dijkstra algorithm and the optimization of the code of traditional Floyd algorithm by taking the Lanzhou—Beijing railway transportation system as an example.The spatial-temporal complexities before and after the optimization of the algorithm,are compared.The experimental results show that the optimized algorithm has greatly reduced the computational count and the operational time.As a result,the algorithm efficiency is improved.

Key concepts: Yen's algorithm, Dijkstra's algorithm, Floyd–Warshall algorithm, Shortest Path Faster Algorithm, Suurballe's algorithm, Algorithm, Shortest path problem, K shortest path routing

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