面积约束下船舶舱室声学布局优化设计的理性准则法

给出了船舶舱室声学布局优化通用模型的数学表达式,解决了舱室声学布局优化设计难以定量化描述的难题.基于该通用模型,研究考虑舱室面积约束和非标准空间约束的声学布局优化设计问题,给出了求解这类问题的理性准则法.针对常规舱室面积约束的声学布局设计,通过建立改进的计权指派系数矩阵,采用基于匈牙利算法的准则法求解;针对待分配空间数量不等于待分配舱室数量的非标准空间约束,提出基于排序不等式的非标准空间布局准则法.通过算例分析,验证了面积约束条件下舱室总体声学布局优化的理性准则法有效性.

Rational Criterion Approach for Ship Cabin Acoustic Layout Optimization Design Under Area Constraints

Abstract： Ship cabins’ acoustic layout optimization design considering standard and non standard area constraints were investigated based on the general cabins acoustics layout optimization model method, in which mathematical formulations with quantity design variables were presented. The rational criterion approach was proposed to solve the presented acoustic layout optimization model. For the optimization model with standard cabin area constraints, the modified assignment matrix with weighted coefficients were defined, and the Hungarian algorithm was applied to solve the optimization problem. For the optimization model with non standard cabin area constraints which denote the numbers of available spaces are less than the numbers of cabins to be allocated, the criterion method based on the rearrangement inequality was applied to solve the problem. Design examples of layouts optimization with area constraints demonstrate the validity and efficiency of the proposed general model and rational methods.