多目標船舶碰撞資訊的演算解析法

An Analytical Algorithm for Collision Information Among Multiple Vessels

本論文提出一多目標船舶間碰撞資訊的解析演算法，利用建立兩船的距離方程式，以微分方法，求此距離方程式的極小值，即可得兩船的最近距離（CPA），同時亦可求出最近距離點時間（TCPA）。本文提供兩種數值的解析，即為經緯度座標法及雷達座標法，僅需以船舶的經緯度座標，或雷達座標，及其航向與航速等四個參數，即可求得兩船的碰撞資訊。本文以四個試算例驗證確認本解析法的有效性。此解析演算法可於一定範圍內之海域，對所有船舶進行避碰資訊的處理，並且提供碰撞訊息及危險等級，可作為一岸基雷達或船舶交通服務系統（VTS）的船舶避碰資訊系統。

This paper gives an analytical algorithm to manipulate the collision information among multiple vessels. The method can formulate an individual two-vessel distance function and minimum distance of the function, i.e. two-vessel CPA and TCPA, which can be clearly derived by a differential approach. Here two mathematical approaches, such as Global Coordinates and Radar Coordinates, are analytically described, and four (4) parameters of position, course and speed of the specific ship are necessarily required for numerical simulation. By the way, four case studies are calculated to confirm the validity of our method. This algorithm can calculate all ships collision information in a specific area of water, and provide collision information and the priority of ship collision risk. In conclusion, it is firmly recommended to use our system for Ship Anti-Collision Information System at coast Radar or harbor VTS stations.