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A modified lambda algorithm for optimization in electromagnetics

Piergiorgio Alotto (Dipartimento di IngegneriaIndustriale, Università di Padova, Italy)
Leandro dos Santos Coelho (Industrial and Systems Eng. Graduate Program, Pontifical Catholic University of Parana, Curitiba, Brazil and Department of Electrical Eng. (PPGEE), Federal University of Parana (UFPR), Curitiba, Brazil)
Viviana C. Mariani (Department of Electrical Eng. (PPGEE), Federal University of Parana (UFPR), Curitiba, Brazil and Mechanical Eng. Graduate Program (PPGEM), Pontifical Catholic University of Parana, Curitiba, Brazil)
Camila da C. Oliveira (Industrial and Systems Eng. Graduate Program, Pontifical Catholic University of Parana, Curitiba, Brazil)

Abstract

Purpose

The purpose of this paper is to show with the help widely used analytical and application-oriented benchmark problems that a novel and relatively uncommon optimization method, lambda optimization, can be successfully applied to the solution of optimization problems in electromagnetics. Furthermore an improvement to the method is proposed and its effectiveness is validated.

Design/methodology/approach

An adaptive probability factor is used within the framework of lambda optimization.

Findings

It is shown that in the framework of lambda optimization (LO) the use of an adaptive probability factor can provide high-quality solutions with small standard deviation on the selected benchmark problem.

Research limitations/implications

Although the chosen benchmarks are considered to be representative of typical electromagnetic problems, different test cases may give less satisfactory results.

Practical implications

The proposed approach appears to be an efficient general purpose stochastic optimizer for electromagnetic design problems.

Originality/value

This paper introduces and validates the use of adaptive probability factor in order to improve the balance between the explorative and exploitative characteristics of the LO algorithm.

Keywords

Acknowledgements

This work was supported by the National Council of Scientific and Technologic Development of Brazil – CNPq – under Grant Nos 476235/2011-1/PQ and 304785/2011-0/PQ and University of Padova PRAT2011 Grant No. CPDA115285.

Citation

Alotto, P., dos Santos Coelho, L., C. Mariani, V. and da C. Oliveira, C. (2014), "A modified lambda algorithm for optimization in electromagnetics", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 33 No. 3, pp. 759-767. https://doi.org/10.1108/COMPEL-10-2012-0224

Publisher

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Emerald Group Publishing Limited

Copyright © 2014, Emerald Group Publishing Limited

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