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Partially dynamic efficient algorithms for distributed shortest paths

机译:分布式最短路径的部分动态高效算法

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摘要

We study the dynamic version of the distributed all-pairs shortest paths problem. Most of the solutions given in the literature for this problem, either (i) work under the assumption that before dealing with an edge operation, the algorithm for the previous operation has to be terminated, that is, they are not able to update shortest paths concurrently, or (ii) concurrently update shortest paths, but their convergence can be very slow (possibly infinite) due to the looping and counting infinity phenomena. In this paper, we propose partially dynamic algorithms that are able to concurrently update shortest paths. We experimentally analyze the effectiveness and efficiency of our algorithms by comparing them against several implementations of the well-known Bellman-Ford algorithm.
机译:我们研究了分布式全对最短路径问题的动态版本。文献中针对该问题提供的大多数解决方案是:(i)在以下假设下工作:在处理边缘操作之前,必须终止前一个操作的算法,即,它们无法更新最短路径(ii)同时更新最短路径,但是由于循环和计数无穷现象,它们的收敛可能非常慢(可能是无限的)。在本文中,我们提出了能够同时更新最短路径的部分动态算法。通过与知名的Bellman-Ford算法的几种实现方式进行比较,我们通过实验分析了算法的有效性和效率。

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