Swarm-Intelligence Optimization Method for Dynamic Optimization Problem

In recent years, the vigorous rise in computational intelligence has opened up new research ideas for solving chemical dynamic optimization problems, making the application of swarm-intelligence optimization techniques more and more widespread. However, the potential for algorithms with different pe...

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Main Authors: Rui Liu, Yuanbin Mo, Yanyue Lu, Yucheng Lyu, Yuedong Zhang, Haidong Guo
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/11/1803
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author Rui Liu
Yuanbin Mo
Yanyue Lu
Yucheng Lyu
Yuedong Zhang
Haidong Guo
author_facet Rui Liu
Yuanbin Mo
Yanyue Lu
Yucheng Lyu
Yuedong Zhang
Haidong Guo
author_sort Rui Liu
collection DOAJ
description In recent years, the vigorous rise in computational intelligence has opened up new research ideas for solving chemical dynamic optimization problems, making the application of swarm-intelligence optimization techniques more and more widespread. However, the potential for algorithms with different performances still needs to be further investigated in this context. On this premise, this paper puts forward a universal swarm-intelligence dynamic optimization framework, which transforms the infinite-dimensional dynamic optimization problem into the finite-dimensional nonlinear programming problem through control variable parameterization. In order to improve the efficiency and accuracy of dynamic optimization, an improved version of the multi-strategy enhanced sparrow search algorithm is proposed from the application side, including good-point set initialization, hybrid algorithm strategy, Lévy flight mechanism, and Student’s <i>t</i>-distribution model. The resulting augmented algorithm is theoretically tested on ten benchmark functions, and compared with the whale optimization algorithm, marine predators algorithm, harris hawks optimization, social group optimization, and the basic sparrow search algorithm, statistical results verify that the improved algorithm has advantages in most tests. Finally, the six algorithms are further applied to three typical dynamic optimization problems under a universal swarm-intelligence dynamic optimization framework. The proposed algorithm achieves optimal results and has higher accuracy than methods in other references.
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spelling doaj.art-af09eaae23ae42eca0a7b9beffc82be02023-11-23T14:24:48ZengMDPI AGMathematics2227-73902022-05-011011180310.3390/math10111803Swarm-Intelligence Optimization Method for Dynamic Optimization ProblemRui Liu0Yuanbin Mo1Yanyue Lu2Yucheng Lyu3Yuedong Zhang4Haidong Guo5School of Electronic Information, Guangxi Minzu University, Nanning 530006, ChinaGuangxi Key Laboratory of Hybrid Computation and IC Design Analysis, Guangxi Minzu University, Nanning 530006, ChinaSchool of Chemistry and Chemical Engineering, Guangxi Minzu University, Nanning 530006, ChinaInstitute of Artificial Intelligence, Guangxi Minzu University, Nanning 530006, ChinaSchool of Electronic Information, Guangxi Minzu University, Nanning 530006, ChinaInstitute of Artificial Intelligence, Guangxi Minzu University, Nanning 530006, ChinaIn recent years, the vigorous rise in computational intelligence has opened up new research ideas for solving chemical dynamic optimization problems, making the application of swarm-intelligence optimization techniques more and more widespread. However, the potential for algorithms with different performances still needs to be further investigated in this context. On this premise, this paper puts forward a universal swarm-intelligence dynamic optimization framework, which transforms the infinite-dimensional dynamic optimization problem into the finite-dimensional nonlinear programming problem through control variable parameterization. In order to improve the efficiency and accuracy of dynamic optimization, an improved version of the multi-strategy enhanced sparrow search algorithm is proposed from the application side, including good-point set initialization, hybrid algorithm strategy, Lévy flight mechanism, and Student’s <i>t</i>-distribution model. The resulting augmented algorithm is theoretically tested on ten benchmark functions, and compared with the whale optimization algorithm, marine predators algorithm, harris hawks optimization, social group optimization, and the basic sparrow search algorithm, statistical results verify that the improved algorithm has advantages in most tests. Finally, the six algorithms are further applied to three typical dynamic optimization problems under a universal swarm-intelligence dynamic optimization framework. The proposed algorithm achieves optimal results and has higher accuracy than methods in other references.https://www.mdpi.com/2227-7390/10/11/1803dynamic optimizationswarm intelligencecontrol variable parameterizationnonlinear programming problemsparrow search algorithm
spellingShingle Rui Liu
Yuanbin Mo
Yanyue Lu
Yucheng Lyu
Yuedong Zhang
Haidong Guo
Swarm-Intelligence Optimization Method for Dynamic Optimization Problem
Mathematics
dynamic optimization
swarm intelligence
control variable parameterization
nonlinear programming problem
sparrow search algorithm
title Swarm-Intelligence Optimization Method for Dynamic Optimization Problem
title_full Swarm-Intelligence Optimization Method for Dynamic Optimization Problem
title_fullStr Swarm-Intelligence Optimization Method for Dynamic Optimization Problem
title_full_unstemmed Swarm-Intelligence Optimization Method for Dynamic Optimization Problem
title_short Swarm-Intelligence Optimization Method for Dynamic Optimization Problem
title_sort swarm intelligence optimization method for dynamic optimization problem
topic dynamic optimization
swarm intelligence
control variable parameterization
nonlinear programming problem
sparrow search algorithm
url https://www.mdpi.com/2227-7390/10/11/1803
work_keys_str_mv AT ruiliu swarmintelligenceoptimizationmethodfordynamicoptimizationproblem
AT yuanbinmo swarmintelligenceoptimizationmethodfordynamicoptimizationproblem
AT yanyuelu swarmintelligenceoptimizationmethodfordynamicoptimizationproblem
AT yuchenglyu swarmintelligenceoptimizationmethodfordynamicoptimizationproblem
AT yuedongzhang swarmintelligenceoptimizationmethodfordynamicoptimizationproblem
AT haidongguo swarmintelligenceoptimizationmethodfordynamicoptimizationproblem