A Fitness-assignment Method for Evolutionary Constrained Multi-objective Optimization

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Hauptverfasser: Ajani, Oladayo S., M, Sri Srinivasa Raju, Paul, Anand, Mallipeddi, Rammohan
Format: Preprint
Veröffentlicht: 2023
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author Ajani, Oladayo S.
M, Sri Srinivasa Raju
Paul, Anand
Mallipeddi, Rammohan
author_facet Ajani, Oladayo S.
M, Sri Srinivasa Raju
Paul, Anand
Mallipeddi, Rammohan
contents The effectiveness of Constrained Multi-Objective Evolutionary Algorithms (CMOEAs) depends on their ability to reach the different feasible regions during evolution, by exploiting the information present in infeasible solutions, in addition to optimizing the several conflicting objectives. Over the years, researchers have proposed several CMOEAs to handle Constrained Multi-objective Optimization Problems (CMOPs). However, most of the proposed CMOEAs with scalable performance are too complex because they are either multi-staged or multi-population-based algorithms. Consequently, to ensure the simplicity of CMOEAs, researchers have proposed different fitness-assignment-based CMOEAs by combining different fitness-assignment-based methods used to solve unconstrained multi-objective problems with information regarding the feasibility of each solution. The main performance drawback of such methods is that it is difficult to design a fitness assignment method that can account for constraint violation in addition to convergence and diversity. Hence in this paper, we propose an effective single-population fitness assignment-based CMOEA referred to as IcSDE+ that can explore different feasible regions in the search space. IcSDE+ is a fitness assignment-based algorithm, that is an efficient fusion of constraint violation (c), Shift-based Density Estimation (SDE), and sum of objectives (+). The performance of IcSDE+ is favorably compared against 9 state-of-the-art CMOEAs on 6 different benchmark suites with diverse characteristics.
format Preprint
id arxiv_https___arxiv_org_abs_2305_18734
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A Fitness-assignment Method for Evolutionary Constrained Multi-objective Optimization
Ajani, Oladayo S.
M, Sri Srinivasa Raju
Paul, Anand
Mallipeddi, Rammohan
Neural and Evolutionary Computing
The effectiveness of Constrained Multi-Objective Evolutionary Algorithms (CMOEAs) depends on their ability to reach the different feasible regions during evolution, by exploiting the information present in infeasible solutions, in addition to optimizing the several conflicting objectives. Over the years, researchers have proposed several CMOEAs to handle Constrained Multi-objective Optimization Problems (CMOPs). However, most of the proposed CMOEAs with scalable performance are too complex because they are either multi-staged or multi-population-based algorithms. Consequently, to ensure the simplicity of CMOEAs, researchers have proposed different fitness-assignment-based CMOEAs by combining different fitness-assignment-based methods used to solve unconstrained multi-objective problems with information regarding the feasibility of each solution. The main performance drawback of such methods is that it is difficult to design a fitness assignment method that can account for constraint violation in addition to convergence and diversity. Hence in this paper, we propose an effective single-population fitness assignment-based CMOEA referred to as IcSDE+ that can explore different feasible regions in the search space. IcSDE+ is a fitness assignment-based algorithm, that is an efficient fusion of constraint violation (c), Shift-based Density Estimation (SDE), and sum of objectives (+). The performance of IcSDE+ is favorably compared against 9 state-of-the-art CMOEAs on 6 different benchmark suites with diverse characteristics.
title A Fitness-assignment Method for Evolutionary Constrained Multi-objective Optimization
topic Neural and Evolutionary Computing
url https://arxiv.org/abs/2305.18734