2011
DOI: 10.1007/s00500-011-0704-5
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A new hybrid mutation operator for multiobjective optimization with differential evolution

Abstract: Differential evolution has become one of the most widely used evolutionary algorithms in multiobjective optimization. Its linear mutation operator is a simple and powerful mechanism to generate trial vectors. However, the performance of the mutation operator can be improved by including a nonlinear part. In this paper, we propose a new hybrid mutation operator consisting of a polynomial-based operator with nonlinear curve tracking capabilities and the differential evolution's original mutation operator, for th… Show more

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Cited by 47 publications
(18 citation statements)
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References 22 publications
(22 reference statements)
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“…Na estratégia ED/current−to−rand/1 o indivíduo x t é o indivíduo atual da população e é utilizado com um par de vetores aleatórios. A estratégia ED/N on − Linear foi proposta em [19] e é definida pela Equação 2.…”
Section: B Problema Da Predição Da Estruturas Das Proteínas (Ppep)unclassified
See 1 more Smart Citation
“…Na estratégia ED/current−to−rand/1 o indivíduo x t é o indivíduo atual da população e é utilizado com um par de vetores aleatórios. A estratégia ED/N on − Linear foi proposta em [19] e é definida pela Equação 2.…”
Section: B Problema Da Predição Da Estruturas Das Proteínas (Ppep)unclassified
“…com rand ∈ U [0, 1] (i.e., rand é um valor entre 0 e 1 aleatoriamente gerado por uma distribuição uniforme) e a probalidade de interpolação, P inter definida como em [19].…”
Section: B Problema Da Predição Da Estruturas Das Proteínas (Ppep)unclassified
“…It combines multioperator recombination (crossover operators) into a unified optimization framework. In the Hyperheuristics (Burke et al 2013;Sindhya et al 2011), it can automatically select or generate heuristics (operators) to solve the optimization problems. These studies focus on the way of generating offspring.…”
Section: Introductionmentioning
confidence: 99%
“…The nonlinear differential evolution crossover (NDE) strategy was presented in the literature [63] for the MOEA/D framework and was a hybrid crossover operator based on polynomials. The advantage of this strategy is that it ignores the values of the crossover rate and the mutation scaling factor.…”
Section: Nonlinear Differential Evolutionmentioning
confidence: 99%
“…where ψ is generated according to an interpolation probability (V itr ) [63] and can be defined by formula (15).…”
Section: Nonlinear Differential Evolutionmentioning
confidence: 99%