TARU PUBLICATIONS
Journal of Information and Optimization Sciences cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-0103·ISSN (Print): 0252-2667

WoS  JIF 2026 : 0.4 (Q4)

Powered by:Powered by

Monthly Journal: Publishes theoretical and applied research on topics in information and optimization sciences.

Issues up to 2022 co-published with and available at:Taylor & Francis
submissions@tarupublications.com
Open Access Research Article

Constrained optimization of engineering design problems: Analyses with Gauss map-based chaotic particle swarm optimization

*

* Corresponding author · click or hover a name for details

pp. 745–770Vol. 44Issue 4May 2023DOI: 10.47974/JIOS-1313XML
Received:
02 Jun 2022
Accepted:
02 Sep 2022
Published Online:
28 Aug 2023
Article type:
Research Article
Language:
EN
Article no.:
JIOS-1313
Pages:
745–770

Abstract

Constrained optimization rises as a challenging issue concerning the evaluation of restrictions, objective and constraints of a model. For this purpose, various optimization algorithms are specifically generated or improved to achieve the best design. Performance of algorithms is strictly concerned with the search capability of the phenomena used. Herein, a state-of-the-art approach can provide worse results on constrained optimization while its performance is remarkable on a different type of optimization problem. Many engineering design problems are categorized as constrained and nonlinear. Decision variables, constraint functions and objective function always change from one problem to another. This condition reveals the necessity of robust optimization algorithms. With this inspiration, after seeing its remarkable performance on different areas (global optimization, continuous function optimization, hybrid classifier design, etc.), this paper examines a state-of-the-art technique named Gauss map-based chaotic particle swarm optimization (GM-CPSO) on constrained optimization of engineering design problems. GM-CPSO is firstly adapted to operate for constrained optimization. Then, penalty function method is utilized to form the fitness output of optimization algorithm. Six challenging design problems are handled that are gear train design, I-shaped beam design, tension / compression spring design, three-bar truss design, tubular column design, and car side impact design. In experiments, GM-CPSO is compared with the state-of-the-art studies handling the design problems. As a result, GM-CPSO achieves the best results recorded in the literature or enhances the optimum result on the specified design problem.

Keywords

Subject Classifications

46N1062P3065K1065D15

References

[1] H. Koyuncu and R. Ceylan, “Multithresholding of benchmark images by a novel optimization approach”, in: Procs of the 2018 IEEE 13th International Scientific and Technical Conference on Computer Sciences and Information Technologies (CSIT), pp. 322-325 (2018).
[2] H. Koyuncu, M. Barstuğan, and M. Ü. Öziç, “A comprehensive study of brain tumour discrimination using phase combinations, feature rankings, and hybridised classifiers”, Medical & Biological Engineering & Computing, vol. 58, no. 12, pp. 2971-2987 (2020).
[3] H. Koyuncu, “A detailed study about CDW-PSO, BWO and GM-CPSO methods on continuous function optimization”, Journal of Information and Optimization Sciences, vol. 42, no. 4, pp. 753-772 (2021).
[4] A. Khajeh, M. R. Ghasemi, and H. G. Arab, “Modified particle swarm optimization with novel population initialization”, Journal of Information and Optimization Sciences, vol. 40, no. 6, pp. 1167-1179 (2019).
[5] D. Boudjehem and B. Boudjehem, “Improved heterogeneous particle swarm optimization”, Journal of Information and Optimization Sciences, vol. 38, no. (3-4), pp. 481-499 (2017).
[6] A. K. Singh, I. Nasiruddin, A. K. Sharma, and A. Saxena, “Implicit control of eddy current braking system using fuzzy logic controller (FLC) and particle swarm optimisation (PSO)”, Journal of Discrete Mathematical Sciences and Cryptography, vol. 22, no. 2, pp. 253-275 (2019).
[7] A. H. Gandomi, X. S. Yang, and A. H. Alavi, “Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems”, Engineering with Computers, vol. 29, no. 1, pp. 17-35 (2013).
[8] M. Dong, N. Wang, X. Cheng, and C. Jiang, “Composite differential evolution with modified oracle penalty method for constrained optimization problems”, Mathematical Problems in Engineering, vol. 2014, pp. 1-15 (2014).
[9] N. B. Guedria, “Improved accelerated PSO algorithm for mechanical engineering optimization problems”, Applied Soft Computing, vol. 40, pp. 455-467 (2016).
[10] P. Singh and H. Chaudhary, “A modified Jaya algorithm for mixed-variable optimization problems”, Journal of Intelligent Systems, vol. 29, no. 1, pp. 1007-1027 (2020).
[11] S. Talatahari and M. Azizi, “Optimization of constrained mathematical and engineering design problems using chaos game optimization”, Computers & Industrial Engineering, vol. 145, pp. 106560 (2020).
[12] J. Wu, Y. G. Wang, K. Burrage, Y. C. Tian, B. Lawson, and Z. Ding, “An improved firefly algorithm for global continuous optimization problems”, Expert Systems with Applications, vol. 149, pp. 113340 (2020).
[13] M, Azizi, S. Talatahari, and A. Giaralis, “Optimization of engineering design problems using atomic orbital search algorithm”, IEEE Access, vol. 9, pp. 102497-102519 (2021).
[14] S. Gupta, H. Abderazek, B. S. Yıldız, A. R. Yildiz, S. Mirjalili, and S. M. Sait, “Comparison of metaheuristic optimization algorithms for solving constrained mechanical design optimization problems”, Expert Systems with Applications, vol. 183, pp. 115351 (2021).
[15] Y. Zhang, A. Chi, and S. Mirjalili, “Enhanced Jaya algorithm: A simple but efficient optimization method for constrained engineering design problems”, Knowledge-Based Systems, vol. 233, pp. 107555 (2021).
[16] M. S. Braik, “Chameleon Swarm Algorithm: A bio-inspired optimizer for solving engineering design problems”, Expert Systems with Applications, vol. 174, pp. 114685 (2021).
[17] Q. Fan, H. Huang, Y. Li, Z. Han, Y. Hu, and D. Huang, “Beetle antenna strategy based grey wolf optimization”, Expert Systems with Applications, vol. 165, pp. 113882 (2021).
[18] T. Cuong-Le, H. L. Minh, S. Khatir, M. A. Wahab, M. T. Tran, and S. Mirjalili, “A novel version of Cuckoo search algorithm for solving optimization problems”, Expert Systems with Applications, vol. 186, pp. 115669 (2021).
[19] Z. Cheng, H. Song, J. Wang, H. Zhang, T. Chang, and M. Zhang, “Hybrid firefly algorithm with grouping attraction for constrained optimization problem”, Knowledge-Based Systems, vol. 220, pp. 106937 (2021).
[20] K. Chen, F. Zhou, and A. Liu, “Chaotic dynamic weight particle swarm optimization for numerical function optimization”, Knowledge-Based Systems, vol. 139, pp. 23-40 (2018). 
[21] H. Koyuncu, “GM-CPSO: A new viewpoint to chaotic particle swarm optimization via Gauss map”, Neural Processing Letters, vol. 52, no. 1, pp. 241-266 (2020).
[22] H. Koyuncu and M Barstuğan, “COVID-19 discrimination framework for X-ray images by considering radiomics, selective information, feature ranking, and a novel hybrid classifier”, Signal Processing: Image Communication, vol. 97, pp. 116359 (2021).
[23] E. H. Dursun, H. Koyuncu, and A. A. Kulaksiz, “A novel unified maximum power extraction framework for PMSG based WECS using chaotic particle swarm optimization derivatives”, Engineering Science and Technology, an International Journal, vol. 24, no. 1, pp. 158-170 (2021).
[24] Z. Michalewicz, “A survey of constraint handling techniques in evolutionary computation methods”, Evolutionary Programming, vol. 4, pp. 135-155 (1995).
[25] B. D. Youn, K. K. Choi, R. J. Yang, and L. Gu, “Reliability-based design optimization for crashworthiness of vehicle side impact”, Structural and Multidisciplinary Optimization, vol. 26, no. 3, pp. 272-283 (2004).

Views: 170Downloads: 91Citations: 1