Infilling strategies play an important role in kriging based optimization, especially when computationally expensive simulations are involved. In order to improve the efficiency of constructing a high-precision kriging model, an improved expected improvement criterion (IEI) and a parallel infilling strategy are proposed based on the maximum expected improvement (EI) criterion. In the proposed parallel infilling strategy, new sample points are generated by employing IEI criterion coupled with EI criterion. During the improved sampling process, redundant and pseudo sample are deleted in order to avoid failure of constructing a kriging model. An improved weighted particle swarm optimization (WPSO) algorithm is proposed to improve optimization efficiency. The proposed parallel infilling strategy is applied to nonlinear function optimization and variable blank holder force (VBHF) optimization in a double-c stamped part. Based on the LHD and software DYNAFORM, kriging models between the VBHF and forming quality are constructed. Compared with the initial kriging models, the meat relative error of kriging models with the proposed parallel infilling strategy for the wrinkling and average thinning rate are reduced by 95% and 55%, respectively. The optimal VBHF is obtained by the WPSO. The results show that, cracking has been completely eliminated and wrinkling has been decreased, greatly improving the forming quality of the double-c stamped part.

填充策略在基于kriging的优化中起着重要作用，尤其是在涉及计算成本高昂的仿真时。为了提高构建高精度克里金模型的效率，提出了一种基于最大期望改进准则的改进的期望改进准则（IEI）和并行填充策略。在提出的并行填充策略中，通过使用IEI准则和EI准则生成新的采样点。在改进的采样过程中，为了避免构建克里金模型失败，删除了多余的样本和伪样本。为了提高优化效率，提出了一种改进的加权粒子群优化算法。提出的并行填充策略被应用于双c冲压零件的非线性函数优化和可变坯料夹持力（VBHF）优化。基于LHD和软件DYNAFORM，构建了VBHF和成形质量之间的克里金模型。与最初的克里格模型相比，采用拟议的平行填充策略进行起皱和平均稀化率的克里格模型的肉类相对误差分别降低了95％和55％。最佳VBHF由WPSO获得。结果表明，裂纹已被完全消除，皱纹得以减少，大大改善了双c冲压件的成形质量。建立了VBHF和成形质量之间的克里金模型。与最初的克里格模型相比，采用拟议的平行填充策略进行起皱和平均稀化率的克里格模型的肉类相对误差分别降低了95％和55％。最佳VBHF由WPSO获得。结果表明，裂纹已被完全消除，皱纹减少了，大大提高了双c冲压件的成形质量。建立了VBHF和成形质量之间的克里金模型。与最初的克里格模型相比，采用拟议的平行填充策略进行起皱和平均稀化率的克里格模型的肉类相对误差分别降低了95％和55％。最佳VBHF由WPSO获得。结果表明，裂纹已被完全消除，皱纹得以减少，大大改善了双c冲压件的成形质量。