基于区间分析的非概率稳健优化设计

提出了一种新的基于区间分析的非概率稳健优化设计模型.利用非线性区间数规划和函数的区间扩张,对稳健性指标进行了计算,将含有区间参数的常规稳健优化模型转化为确定性的稳健优化模型,转化后的模型能够根据设计者要求实现任意指定稳健性的优化目标,最终建立了两级稳健优化设计模型.该模型无需知道设计参数的概率分布函数,也不要求目标函数...

Non-probabilistic robust optimization design based on interval analysis

A novel non-probabilistic robust design optimization model using interval analysis is presented.Based on non-linear interval number programming and function interval extension,the robustness was assessed,and the uncertain robust optimization model with interval parameters was transformed into a deterministic form,which can achieve the objective with any expected robustness level according to decision-maker,and a bi-level mathematical model is established.This model doesn′t require the presumed probability distribution of uncertain factors and gradient or continuous information of constraints and objective functions.Experimental results demonstrate the effectiveness of the given method.