Bi-objective robust design optimization for LED lens design

The primary objective of this paper is to propose bi-objective robust design optimization models for LED lens design. The viewing angle and the luminance uniformity are used as the two optical quality objectives. Based on the experimental designs, the response surface methodology is applied to identify the functional relationships between input factors (i.e., design parameters) and their two output responses. Then, the dual response model is applied to determine the optimal solutions. In addition, the epsilon-constrained method is developed to identify the optimal design parameter settings. Moreover, the weighted sum model based on the quality loss function is proposed to consider the trade-off between two conflicting objectives. The final results show that the proposed models are far more effective than the existing method in LED lens design.