Hybrid Search method for Zermelo’s navigation problem

Published in arXiv, 2023

In this paper, we present a novel algorithm called the Hybrid Search algorithm to tackle the Zermelo’s Navigation Problem. This method can be regarded as an extension of the recent Ferraro-Martín de Diego-Almagro to allow for further exploration in search for the global optimum, in situations of complex vector fields where many locally optimal trajectories exist. Our algorithm is designed to work in both Euclidean and spherical spaces and utilizes a heuristic that allows the vessel to move forward while remaining within a predetermined search cone centred around the destination. This approach not only improves efficiency but also includes obstacle avoidance, making it well-suited for real-world applications. We evaluate the performance of the HS algorithm on synthetic vector fields and real ocean currents, demonstrating its effectiveness and performance.

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Recommended citation: Precioso, Daniel et al. (2023). “Hybrid Search method for Zermelo’s navigation problem.” Unpublished.