A Preference-Based Physical Programming Method for Multi-Objective Designs of Electromagnetic Devices

• Published in: IEEE transactions on magnetics Vol. 56; no. 3; pp. 1 - 4
• Main Authors: An, Siguang, Liu, Lei, Yang, Shiyou, Wang, Wei, Wang, Ning
• Format: Journal Article
• Language: English
• Published: New York IEEE 01-03-2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Decision making; Heuristic algorithms; Inverse problems; Linear programming; Magnetism; Mapping; Multiple objective analysis; Optimization; physical programming (PP) method; preference; Preferences; Programming; region of interest (ROI); Search problems; Zirconium
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/TMAG.2019.2951744

The optimal algorithm plays a crucial role in optimizations of electromagnetic devices in terms of both solution efficiency and precision of the final result. To reduce the unnecessary information bombing of a decision maker (DM) and to improve the convergence ability of solution procedures for multi-objective design problems, a vector preference-based physical programming method is proposed. To specify the region of interests of a DM, a preference frame is constructed using an aspiration point, a reservation point, and a preference vector; to make a full use of the explored information, the sampling points are classified based on all the pseudo preferences in one single run, and the aggregated preference functions are calculated in parallel. A dynamic pseudo preference translation offset vector is developed to accommodate different mapping mechanisms for a variety of diverse optimization problems and increase the robustness of the algorithm. Typical test functions and inverse problems are solved to demonstrate the effectiveness and efficiency of the proposed method.