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arXiv · 2208.11489

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

Eyal Weiss·Ariel Felner·Gal A. Kaminka
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Abstract

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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Eyal Weiss, Ariel Felner, Gal A. Kaminka. 2022-08-22. A Generalization of the Shortest Path Problem to Graphs with Multiple Edge-Cost Estimates. https://doi.org/10.3233/faia230567

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