A novel boundary constraint-handling technique for constrained numerical optimization problems

Juárez-Castillo, Efrén; Pérez-Castro, Nancy; Mezura-Montes, Efrén

doi:10.1109/cec.2015.7257135

Cited by 7 publications

(2 citation statements)

References 10 publications

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“…erefore, when dealing with the constraint optimization problem by GA, the first task is to transform it into unconstraint optimization problem by building up the fitness function to combine the objective function with constraints. Many researchers in the field of computer algorithms have put forward numerous methods to conduct this transformation and construct various types of fitness functions [17][18][19]. However, when facing up a specific problem, some of these methods may work well, while others may not [20].…”

Section: Constraint Handling Methods and Fitness Functionsmentioning

confidence: 99%

Dimensional and Layout Optimization Design of Multistage Gear Drives Using Genetic Algorithms

Han

Liu

Yang

et al. 2020

Mathematical Problems in Engineering

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In the minimal weight/volume design of multistage gear drives, both the dimensional and layout parameters of gear pairs have a direct effect on the design result. A new optimization model that can carry out both dimensional-and layoutconstrained optimization design for any number of stages of cylindrical gear drives simultaneously is proposed. e optimization design of a three-stage cylindrical gear drive is conducted as a design example to test the application of this model. In the attempt to solve this constrained optimization problem using an elitist genetic algorithm (GA), different constraint handling methods have a crucial effect on the optimal results. us, the results obtained by applying three typical constraint handling methods in GA one by one are analyzed and compared to figure out which one performs the best and find the optimal solution. Moreover, a more precise projection center distance (PCD) method to calculate the degree of interference constraint violation is proposed and compared with the usually used (0, 1) method. e results show that the proposed PCD method is a better one.

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Section: Constraint Handling Methods and Fitness Functionsmentioning

confidence: 99%

Dimensional and Layout Optimization Design of Multistage Gear Drives Using Genetic Algorithms

Han

Liu

Yang

et al. 2020

Mathematical Problems in Engineering

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“…In this subsection, we apply different boundary conditions handling methods for the BBO with the sinusoidal model in order to find if the settings used in the previous sections could be improved. The boundary constraint handling methods that we will test include the following [31,32].…”

Section: Boundary Conditions Constraint Handling Methodsmentioning

confidence: 99%

Design of Large Thinned Arrays Using Different Biogeography-Based Optimization Migration Models

Goudos

Sahalos

2016

International Journal of Antennas and Propagation

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Array thinning is a common discrete-valued combinatorial optimization problem. Evolutionary algorithms are suitable techniques for above-mentioned problem. Biogeography-Based Optimization (BBO), which is inspired by the science of biogeography, is a stochastic population-based evolutionary algorithm (EA). The original BBO uses a linear migration model to describe how species migrate from one island to another. Other nonlinear migration models have been proposed in the literature. In this paper, we apply BBO with four different migration models to five different large array design cases. Additionally we compare results with five other popular algorithms. The problems dimensions range from 150 to 300. The results show that BBO with sinusoidal migration model generally performs better than the other algorithms. However, these results are considered to be indicative and do not generally apply to all optimization problems in antenna design.

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Adaptive boundary constraint-handling scheme for constrained optimization

2018

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A novel boundary constraint-handling technique for constrained numerical optimization problems

Cited by 7 publications

References 10 publications

Dimensional and Layout Optimization Design of Multistage Gear Drives Using Genetic Algorithms

Dimensional and Layout Optimization Design of Multistage Gear Drives Using Genetic Algorithms

Design of Large Thinned Arrays Using Different Biogeography-Based Optimization Migration Models

Adaptive boundary constraint-handling scheme for constrained optimization

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