Optimizing the Design of a TIR Lens Using SVR , VIKOR , and the Artificial Bee Colony Algorithm

Abstract—Multi-response parameter design problems have become increasingly important and have received considerable attention from both researchers and practitioners since there are usually several quality characteristics that must be optimized simultaneously in most modern products/processes. This study applies support vector regression (SVR), VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR), and the artificial bee colony (ABC) algorithm to resolve these common and complicated parameter design problems. The feasibility and effectiveness of the proposed approach are demonstrated via a case study in which the design of a total internal reflection (TIR) lens is optimized while fabricating an MR16 light-emitting diode (LED) lamp. Experimental results indicate that the proposed solution procedure can provide highly robust design parameter settings for TIR lenses that can be directly applied in real manufacturing processes. The comparison revealed that the ABC algorithm can search the solution spaces in continuous domains modeled via SVR instead of in the limited discrete experiment levels thus finding a more robust design.