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Article

Hybrid Sine Cosine Algorithm for Solving Engineering Optimization Problems

1
Faculty of Applied Management, Economics and Finance, University Business Academy in Novi Sad, Jevrejska 24, 11000 Belgrade, Serbia
2
Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia
3
Laboratory “Hybrid Methods of Modelling and Optimization in Complex Systems”, Siberian Federal University, Prosp. Svobodny 79, 660041 Krasnoyarsk, Russia
4
Department of Electronic and Electrical Engineering, Swansea University, Fabian Way, Swansea SA1 8EN, UK
5
School of Business, Jiangnan University, Lihu Blvd, Wuxi 214122, China
6
Department of Computing, The Hong Kong Polytechnic University, 11 Yuk Choi Rd, Hung Hom 999077, Hong Kong
*
Author to whom correspondence should be addressed.
Mathematics 2022, 10(23), 4555; https://doi.org/10.3390/math10234555
Submission received: 6 November 2022 / Revised: 27 November 2022 / Accepted: 27 November 2022 / Published: 1 December 2022
(This article belongs to the Special Issue Artificial Intelligence with Applications of Soft Computing)

Abstract

Engineering design optimization problems are difficult to solve because the objective function is often complex, with a mix of continuous and discrete design variables and various design constraints. Our research presents a novel hybrid algorithm that integrates the benefits of the sine cosine algorithm (SCA) and artificial bee colony (ABC) to address engineering design optimization problems. The SCA is a recently developed metaheuristic algorithm with many advantages, such as good search ability and reasonable execution time, but it may suffer from premature convergence. The enhanced SCA search equation is proposed to avoid this drawback and reach a preferable balance between exploitation and exploration abilities. In the proposed hybrid method, named HSCA, the SCA with improved search strategy and the ABC algorithm with two distinct search equations are run alternately during working on the same population. The ABC with multiple search equations can provide proper diversity in the population so that both algorithms complement each other to create beneficial cooperation from their merger. Certain feasibility rules are incorporated in the HSCA to steer the search towards feasible areas of the search space. The HSCA is applied to fifteen demanding engineering design problems to investigate its performance. The presented experimental results indicate that the developed method performs better than the basic SCA and ABC. The HSCA accomplishes pretty competitive results compared to other recent state-of-the-art methods.
Keywords: sine cosine algorithm; artificial bee colony; hybrid algorithm; constrained design optimization sine cosine algorithm; artificial bee colony; hybrid algorithm; constrained design optimization

Share and Cite

MDPI and ACS Style

Brajević, I.; Stanimirović, P.S.; Li, S.; Cao, X.; Khan, A.T.; Kazakovtsev, L.A. Hybrid Sine Cosine Algorithm for Solving Engineering Optimization Problems. Mathematics 2022, 10, 4555. https://doi.org/10.3390/math10234555

AMA Style

Brajević I, Stanimirović PS, Li S, Cao X, Khan AT, Kazakovtsev LA. Hybrid Sine Cosine Algorithm for Solving Engineering Optimization Problems. Mathematics. 2022; 10(23):4555. https://doi.org/10.3390/math10234555

Chicago/Turabian Style

Brajević, Ivona, Predrag S. Stanimirović, Shuai Li, Xinwei Cao, Ameer Tamoor Khan, and Lev A. Kazakovtsev. 2022. "Hybrid Sine Cosine Algorithm for Solving Engineering Optimization Problems" Mathematics 10, no. 23: 4555. https://doi.org/10.3390/math10234555

APA Style

Brajević, I., Stanimirović, P. S., Li, S., Cao, X., Khan, A. T., & Kazakovtsev, L. A. (2022). Hybrid Sine Cosine Algorithm for Solving Engineering Optimization Problems. Mathematics, 10(23), 4555. https://doi.org/10.3390/math10234555

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