Risk theory based solution to the problem of optimal vessel route
Valeri I. Agoshkov, Anton O. Zayachkovskiy, Robert Aps, Pentti Kujala, Jorma Rytkönen · Russian Journal of Numerical Analysis and Mathematical Modelling · 2014
The problem of ship route optimization is studied in the paper. A functional is introduced so that it includes the terms corresponding to the deviation of the ship trajectory from the preliminary route and to the risk of crossing for the trajectories of the ship and a dynamically moving dangerous object. Theminimization problem of the introduced functional is posed to determine the optimal route of the ship. The problem is studied for the solvability, the existence, and uniqueness conditions are obtained for the solution. Results of numerical experiments are presented.