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arXiv · 2308.02434

Hybrid Search method for Zermelo's navigation problem

Daniel Precioso·Robert Milson·Louis Bu·Yvonne Menchions·David Gómez-Ullate
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Abstract

In this paper, we present a novel algorithm called the Hybrid Search algorithm that integrates the Zermelo's Navigation Initial Value Problem with the Ferraro-Mart\'in de Diego-Almagro algorithm to find the optimal route for a vessel to reach its destination. 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 Hybrid Search algorithm on synthetic vector fields and real ocean currents data, demonstrating its effectiveness and performance.

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Daniel Precioso, Robert Milson, Louis Bu, Yvonne Menchions, David Gómez-Ullate. 2023-08-04. Hybrid Search method for Zermelo's navigation problem. https://arxiv.org/abs/2308.02434

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