基于多准则并行采样的昂贵多目标优化
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TP18

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国家自然科学基金项目(62303344, 62372319);山西省重点研发项目(202102020101002);山西省基础研究计划项目(202203021222196);来晋工作优秀博士基金项目(20232052);博士科研启动基金(20222053).


Expensive multi-objective optimization based on multi-criteria parallel sampling
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    摘要:

    实际仿真模拟辅助设计的多目标优化问题, 完成一次性能评估的成本代价极其昂贵. 基于历史数据训练廉价的代理模型, 辅助多目标优化算法求解昂贵多目标优化问题, 是目前主流方法之一. 然而, 当优化目标数量增多时, 将面临模型管理中如何选取新样本改善模型质量的困难. 为此, 从多个目标估值与其可靠性平衡、解的收敛性和多样性自适应平衡、当前样本分布三方面考虑, 分别提出基于线性组合置信下界函数、自适应性能平衡函数、标量偏差矩阵的3个采样准则, 并行选取若干个体进行真实函数评价后填充样本集, 提高模型引导多目标优化算法寻优效率. 同时, 引入非支配样本引导当前种群搜索, 加快定位最优区域. 最后应用两个经典多目标问题集和两个优化实例, 与5个先进算法比较, 验证了所提算法的有效性.

    Abstract:

    In practice, multi-objective optimization problems are constructed via computer simulations, and function evaluation is quite costly. It is a popular method for training surrogate models based on historical data to help multi-objective optimization algorithms solve computationally expensive multi-objective problems. However, when the number of optimized objectives increases, it will become more difficult to choose individuals to enhance model quality in model management. To this end, this paper proposes three sampling criteria containing the linear combination confidence lower bound function, the adaptive performance balance criteria, and the scalar deviation matrix to select several individuals to infill the sample set to improve the efficiency of the model-guided multi-objective optimization algorithm for finding the optimal solution from three aspects: the balance between multiple objective estimations and their reliability, the adaptive balance of convergence and diversity of solutions, and current sample distribution, respectively. Meanwhile, non-dominated samples are adopted to drive the current population search, which speeds up searching for the most promising region. Finally, compared with five advanced algorithms, the proposed algorithm is effective on two classical multi-objective test suites and two optimization instances.

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秦淑芬,孙超利.基于多准则并行采样的昂贵多目标优化[J].控制与决策,2025,40(7):2281-2289

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  • 收稿日期:2024-10-29
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  • 在线发布日期: 2025-06-05
  • 出版日期: 2025-07-20
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