论文标题

对具有多个边缘成本估算的图表的最短路径问题的概括

A Generalization of the Shortest Path Problem to Graphs with Multiple Edge-Cost Estimates

论文作者

Weiss, Eyal, Felner, Ariel, Kaminka, Gal A.

论文摘要

图中最短的路径问题是AI理论和应用的基石。现有算法通常忽略边缘重量计算时间。我们为加权的有向图提供了一个广义框架,其中可以以增加准确性和运行时费用来计算(估计)多次(估计)的边缘权重。这引发了最短路径问题的几个广义变体。我们介绍了找到最佳成本下较低距离的路径的问题。然后,我们为广义问题提供了两种完整的算法,并从经验上证明了它们的功效。

The shortest path problem in graphs is a cornerstone of AI theory and applications. Existing algorithms generally ignore edge weight computation time. We present a generalized framework for weighted directed graphs, where edge weight can be computed (estimated) multiple times, at increasing accuracy and run-time expense. This raises several generalized variants of the shortest path problem. We introduce the problem of finding a path with the tightest lower-bound on the optimal cost. We then present two complete algorithms for the generalized problem, and empirically demonstrate their efficacy.

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