Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Application of Multivariant Optimization Algorithm in Multiobjective Optimization

Version 1 : Received: 8 August 2023 / Approved: 14 August 2023 / Online: 16 August 2023 (03:06:03 CEST)

How to cite: Tian, Q.; Shi, X.; Lo, F.; Lin, X. Application of Multivariant Optimization Algorithm in Multiobjective Optimization. Preprints 2023, 2023081083. https://doi.org/10.20944/preprints202308.1083.v1 Tian, Q.; Shi, X.; Lo, F.; Lin, X. Application of Multivariant Optimization Algorithm in Multiobjective Optimization. Preprints 2023, 2023081083. https://doi.org/10.20944/preprints202308.1083.v1

Abstract

The multiobjective optimization problem is a key research direction in the field of optimization. Based on the multivariant optimization algorithm (MOA), this paper puts forward a multiobjective multivariant optimization algorithm (MMOA). A good point set is adopted for population initialization and to ensure the homogeneity of the initial solution set and avoid prematurity; global atoms are acquired by non-dominated sorting and an external archiving strategy; a nonlinear search radius is designed to balance global and local searches and enhance the convergence precision of the algorithm. Levy Flight and Sine chaotic mapping are introduced to redesign the update formula for local atoms, increase the convergence rate of the algorithm, and boost the optimization efficiency. Comparative experiments are conducted between MMOA and NSGA-II, MOEA/D, NSWOA, MOGWO, NSMFO on multiobjective test functions and an engineering example. The simulation results show that MMOA has superior convergence and diversity to the other five algorithms.

Keywords

Multiobjective multivariant optimization algorithm(MMOA); Good point set; Levy Flight; Sine chaotic mapping

Subject

Computer Science and Mathematics, Artificial Intelligence and Machine Learning

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