A Generalization of the Shortest Path Problem to Graphs with Multiple Edge-Cost Estimates
Data Structures and Algorithms
2024-02-20 v4 Artificial Intelligence
Discrete Mathematics
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.
Cite
@article{arxiv.2208.11489,
title = {A Generalization of the Shortest Path Problem to Graphs with Multiple Edge-Cost Estimates},
author = {Eyal Weiss and Ariel Felner and Gal A. Kaminka},
journal= {arXiv preprint arXiv:2208.11489},
year = {2024}
}