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结构多目标优化非劣解集的遗传算法

         

摘要

提出了一种遗传算法求解结构多目标优化非劣解集的方法。该方法提出了劣解罚项的概念, 把劣解罚项和约束罚项之和作为设计点的总的罚项并将其转化为适应度,采用遗传算法进行 求 解。算例采用三杆和十杆多目标优化问题。计算结果表明,该方法是可行和有效的,计算的 结果有利于多目标决策。%This paper presents a constrained multiobjective optimization method by integrating a Pareto genetic algorithm with dominated penalty concept. The fitness of apoint is constructed by using the dominated penalty and constrained penalty. The general genetic algorithm is modified with Pareto filter and finite elementanalysis. Sample cases investigated in this work include multiobjective structural optimizations of two trusses: a 3-bar plane truss with two criteria and a 10-bar plane truss with two criteria. Numerical results demonstrate that the proposed method is efficient. The algorithm can help structural designer to make decision.

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