最短路径路由的快速数据结构:比较评价

G. Oberhauser, R. Simha
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引用次数: 2

摘要

Dijkstra(1959)最短路径路由算法的执行时间在很大程度上取决于算法迭代期间用于存储图的中间路径代价的底层优先级队列数据结构。具体来说,效率取决于数据结构执行EXTRACT-MIN和extend - key操作的速度。本文利用Dijkstra算法在不同大小和拓扑的图上,比较了标准隐式二叉堆与几种数据结构的实际性能:二项式堆、松弛堆、运行松弛堆、斐波那契堆和展树。特别地,我们比较了键操作的数据结构的性能,EXTRACT-MIN和minimize - key。
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Fast data structures for shortest path routing: a comparative evaluation
The execution time of Dijkstra's (1959) algorithm for shortest path routing strongly depends upon the underlying priority queue data structure used to store intermediate path costs for the graph during the algorithm's iterations. In particular, the efficiency is determined by how quickly the data structure can execute the operations of EXTRACT-MIN and DECREASE-KEY. Using Dijkstra's algorithm on graphs of various sizes and topologies, this paper compares the actual performance of the standard implicit binary heap with that of several proposed data structures: the binomial heap, relaxed heap, run relaxed heap, Fibonacci heap and splay tree. In particular, we compare the data structures' performance of the key operations, EXTRACT-MIN and DECREASE-KEY.
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