@article{SisLab2494,
          volume = {49},
          number = {2},
           month = {February},
          author = {Z. Ren and Minh Trien Pham and Chang Seop Koh},
           title = {Robust Global Optimization of Electromagnetic Devices With Uncertain Design Parameters: Comparison of the Worst Case Optimization Methods and Multiobjective Optimization Approach Using Gradient Index},
       publisher = {IEEE},
            year = {2013},
         journal = {IEEE Transactions on Magnetics},
           pages = {851--859},
        keywords = {electromagnetic devices;electronic engineering computing;optimisation;TEAM 22 robust optimal design;design parameter;design variable;electromagnetic devices global optimization;gradient index;gradient-based worst case optimization algorithm;multiobjective optimization approach;numerical ef{\ensuremath{\eta}}?ciency;worst case optimization method;Algorithm design and analysis;Computational efficiency;Finite element methods;Indexes;Optimization;Robustness;Uncertainty;Gradient-based worst case optimization (G-WCO);multiobjective optimization approach using gradient index;robust optimal design;uncertainty;worst case optimization},
             url = {https://eprints.uet.vnu.edu.vn/eprints/id/eprint/2494/},
        abstract = {The uncertainties in design variables are unavoidable in the optimal design of electromagnetic devices, and there is an imperative demand to find a robust design, which is insensitive to the uncertainties and remains within the feasible region of constraints even perturbed by the uncertainties. In this paper, a gradient-based worst case optimization (G-WCO) algorithm is proposed in a limited uncertainty set to increase the numerical efficiency based on the worst case optimization (WCO) algorithm. Through applications to the robust optimal design of TEAM 22, the performances of the proposed G-WCO, conventional WCO, and multiobjective optimization approach using gradient index (GI) are compared.}
}