Abstract: Aiming at the problem of ship speed optimization in the arctic route, a multi-objective mixed integer speed optimization model was established based on the ice data during the navigation period and the ship resistance model. With linear weighting and discretization methods, the established model was transformed and split by single target. Combined with the segment division and the calculation examples of various ships, the MATLAB software was used to solve the proposed model, and the optimal speed under the minimum target of ship operation cost and ship operation time was obtained. In the set ice segment, the maximum reduction of the average speed of the four example ships were up to 14.53%, 14.12%, 11.41% and 13.67%.

Key words: waterway engineering; arctic route; speed optimization; ice conditions during navigation period; mixed integer programming; waterway port and channel

摘要： 针对北极航线的船舶航速优化问题，基于航线通航期冰情数据和船舶阻力模型，建立多目标的混合整数航速优化模型。使用线性加权和离散化的方法，对所建立的模型进行单目标转化和拆分处理。结合航段划分和多种船舶的算例，使用MATLAB软件对模型进行求解，得出在船舶运营成本和船舶运营时间最低目标下的最优航速。在设定的冰区航段，4艘算例船舶航速均值的最大降幅达到14.53%、14.12%、11.41%以及13.67%。

关键词: 航道工程；北极航线；航速优化；通航期冰情；混合整数规划；水路港口和航道