科研之友
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摘要
In this paper, a methodology for postoptimality studies to assess the robustness of the Pareto-optimal solutions computed with a multi-objective optimization algorithm is presented. The proposed Pareto-robust optimization approach is based on factorial design for sampling the design region in the neighborhood of the Pareto-optimal solutions. It allows for estimating a metric for the Pareto robustness and contributes to improving convergence of the known Pareto-front toward the true Pareto front Further, sensitivity analysis of the performance and response surfaces in the neighborhood of the optimal solutions are computed without additional computational cost. The proposed approach is applied to two validation test cases and to the design of a satellite Earth-observation mission for disaster monitoring. The results show that the Pareto-robust optimization approach can correctly detect Pareto-robust solutions on the Pareto front, and that it provides additional Pareto-optimal solutions at the same time, eventually improving the original known Pareto front In the case of the Earth-observation mission, the study demonstrates the possibility to enable and promote tradeoffs among the engineering team members to obtain an effective decision-making process. The solution identified as the most Pareto-robust one can be considered quite uncommon but still very reasonable due to the assumptions, presenting a satellite in a nonsun-synchronous medium Earth orbit
- 出版日期2013-8
