RT journal article T1 Hybrid search method for Zermelo’s navigation problem A1 Precioso Garcelán, Daniel A1 Milson, Robert A1 Bu, Louis A1 Menchions, Yvonne A1 Gómez-Ullate Oteiza, David A2 Ingeniería Informática K1 Weather routing K1 Zermelo navigation problem K1 Optimization K1 Time optimal trajectories AB 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-Sato algorithm 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 centered 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, demonstrating its effectiveness and performance. PB Springer Nature SN 1807-0302 YR 2024 FD 2024 LK http://hdl.handle.net/10498/33629 UL http://hdl.handle.net/10498/33629 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026