首页> 外文会议>ASME biennial conference on engineering systems design and analysis >TOWARD THE USE OF PARETO PERFORMANCE SOLUTIONS AND PARETO ROBUSTNESS SOLUTIONS FOR MULTI-OBJECTIVE ROBUST OPTIMIZATION PROBLEMS
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TOWARD THE USE OF PARETO PERFORMANCE SOLUTIONS AND PARETO ROBUSTNESS SOLUTIONS FOR MULTI-OBJECTIVE ROBUST OPTIMIZATION PROBLEMS

机译:在使用帕累托性能解决方案和帕累托稳健解决方案的应用中,实现多目标鲁棒优化问题

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For Multi-Objective Robust Optimization Problem (MO-ROP), it is important to obtain design solutions that are both optimal and robust. To find these solutions, usually, the designer need to set a threshold of the variation of Performance Functions (PFs) before optimization, or add the effects of uncertainties on the original PFs to generate a new Pareto robust front. In this paper, we divide a M0R0P into two Multi-Objective Optimization Problems (MOOPs). One is the original MOOP, another one is that we take the Robustness Functions (RFs), robust counterparts of the original PFs, as optimization objectives. After solving these two MOOPs separately, two sets of solutions come out, namely the Pareto Performance Solutions ((Pp) and the Pareto Robustness Solutions (Pr). Make a further development on these two sets, we can get two types of solutions, namely the Pareto Robustness Solutions among the Pareto Performance Solutions (Pp(Pp)), and the Pareto Performance Solutions among the Pareto Robustness Solutions (Pp(Pp)). Further more, the intersection of PrPp) and Pp(Pr) can represent the intersection of Pr and PP well. Then the designer can choose good solutions by comparing the results of Pr(Pp) and Pp(Pr). Thanks to this method, we can find out the optimal and robust solutions without setting the threshold of the variation of PFs nor losing the initial Pareto front. Finally, an illustrative example highlights the contributions of the paper.
机译:对于多目标稳健优化问题(MO-ROP),可以获得最佳和稳健的设计解决方案非常重要。为了找到这些解决方案,通常,设计人员需要在优化之前设置性能函数(PFS)的变化阈值,或者在原始PFS上添加不确定性的影响,以生成新的Pareto强大的前沿。在本文中,我们将M0R0P分为两个多目标优化问题(MOOPS)。一个是原始的MOOP,另一个是我们采取鲁棒功能(RFS),原始PFS的强大对应物,作为优化目标。在分开解决这两个浪费之后,两组解决方案出现,即帕累托性能解决方案((PP)和帕雷托鲁棒措施解决方案(PR)。在这两套进行进一步发展,我们可以获得两种类型的解决方案,即帕累托性能解决方案中的帕吻型鲁棒性解决方案(PP(PP))和PAR稳压解决方案中的Pareto性能解决方案(PP(PP))。此外,PRPP)和PP(PR)的交点可以代表交叉点PR和PP井好。然后,设计者可以通过比较PR(PP)和PP(PR)的结果来选择良好的解决方案。由于这种方法,我们可以找出最佳和强大的解决方案,而无需设置PFS变化的阈值,也不会使初始帕累托正面失去阈值。最后,一个说明性示例突出了纸张的贡献。

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