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A Variable-Size Local Domain Approach to Computer Model Validation in Design Optimization

机译:设计优化中计算机模型验证的可变大小的本地域方法

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A common approach to the validation of simulation models focuses on validation throughout the entire design space. A more recent methodology validates designs as they are generated during a simulation-based optimization process. The latter method relies on validating the simulation model in a sequence of local domains. To improve its computational efficiency, this paper proposes an iterative process, where the size and shape of local domains at the current step are determined from a parametric bootstrap methodology involving maximum likelihood estimators of unknown model parameters from the previous step. Validation is carried out in the local domain at each step. The iterative process continues until the local domain does not change from iteration to iteration during the optimization process ensuring that a converged design optimum has been obtained. The proposed methodology is illustrated using a thermal, one-dimensional, linear heat conduction problem in a solid slab with heat flux boundary conditions.
机译:仿真模型验证的常用方法侧重于整个设计空间的验证。更新的方法验证了在基于仿真的优化过程期间生成的设计。后一种方法依赖于在局域序列中验证仿真模型。为了提高其计算效率,本文提出了一种迭代过程,其中当前步骤的局部域的尺寸和形状由参数释放方法确定涉及从上一步的未知模型参数的最大似然估计器的最大似然估计。验证在每个步骤的本地域中执行。迭代过程继续,直到在优化过程期间,在优化过程期间,局域不从迭代到迭代,确保已经获得了融合设计最佳。使用具有热通量边界条件的固体板中的热性,一维线性导热问题来说明所提出的方法。

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