基于矩不确定分布鲁棒优化的船舶舱室布局设计  

Ship Cabin Layout Design Based on Distributional Robust Optimization under Moment Uncertainty

作　　者：侯远杭[1] 黄胜[2] 

机构地区：[1]大连海事大学交通运输装备与海洋工程学院,辽宁大连116026 [2]哈尔滨工程大学船舶工程学院,哈尔滨150001

出　　处：《船舶工程》2016年第5期79-82,共4页Ship Engineering

基　　金：国家自然科学基金(51579022);中央高校基本科研业务费专项资金(3132014318)

摘　　要：船舶舱室布局所涉及的评价指标通常具有不确定性,如环境载荷等参数通常以不确定性的随机变量形式参与计算,且其概率分布的期望及方差等指标往往也是不确定的。文章采用矩不确定分布鲁棒优化方法,解决含矩不确定参数的船舶舱室布局min-max优化问题。将各舱室的全局位置参数、相对位置参数和质量分布参数加权整合为目标函数,建立全船范围内的舱室布局DRO-MU优化模型,采用拉格朗日对偶原理将其转为确定的半定规划问题以便求解。算例验证了该方法的合理性与优越性,以及该方法对解决含矩不确定参数的船舶舱室布局问题具有独特优势。Evaluation indicators in the ship cabin layout problem usually present uncertainty.Parameters,such as environmental loads,usually participates calculation in the form of random variables.Meanwhile,the expectations and variances of their probability distribution are always uncertain.Distributional robust optimization under moment uncertainty（DRO-MU） is employed in this paper,in order to solve the ship cabin layout min-max optimization problem with moment uncertainty parameters.Global position parameter,relative position parameter and mass distribution parameter of each cabin is integrated as objective function,and DRO-MU model among the full range of ship is established.Furthermore,this optimization model is transformed into a deterministic semi-definite programming one by Lagrange duality principle.Calculation results show that the new method introduced here has rationality and superiority,and there are distinct characteristics for this method solving ship cabin layout problem with moment uncertainty parameters.

关 键 词：舱室布局 环境参数 矩不确定分布鲁棒优化 对偶转换 

分 类 号：U661.1[交通运输工程—船舶及航道工程]