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A multi-strategy boosted prairie dog optimization algorithm for global optimization of heat exchangers

  • Dildar Gürses

    Dr. Dildar Gürses received her BSc, MSc and PhD. degrees from the Department of Mechanical Engineering, Bursa Uludağ University, Bursa, Turkey. She is a lecturer at Bursa Uludag University.

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    , Pranav Mehta

    Mr. Pranav Mehta is an Assistant Professor at the Department of Mechanical Engineering, Dharmsinh Desai University, Nadiad-387001, Gujarat, India. He is currently a PhD. research scholar with the Dharmsinh Desai University, Nadiad, Gujarat, India. His major research interest includes metaheuristics techniques, multi-objective optimization, solar-thermal technologies and renewable energy.

    , Sadiq M. Sait

    Dr. Sadiq M. Sait received his Bachelor’s degree in Electronics Engineering from Bangalore University, India, in 1981, and his Master’s and PhD. degrees in Electrical Engineering from the King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, in 1983 and 1987, respectively. He is currently a Professor of Computer Engineering and Director of the Center for Communications and IT Research, KFUPM, Dhahran, Saudi Arabia.

    , Sumit Kumar

    Sumit Kumar received the BEng degree (Hons.) in mechanical engineering from Dr. A.P.J. Abdul Kalam Technical University, Lucknow, India, in 2012, and the MEng degree (Hons.) in design engineering from the Malaviya National Institute of Technology (NIT), Jaipur, India, in 2015. He is currently a PhD. research scholar with the College of Sciences and Engineering, Australian Maritime College, University of Tasmania, Launceston, Australia. His major research interests include metaheuristics techniques, multi-objective optimization, evolutionary algorithm and renewable energy systems.

    and Ali Riza Yildiz

    Dr. Ali Riza Yildiz is a Professor in the Department of Mechanical Engineering, Bursa Uludağ University, Bursa, Turkey. His research interests are the finite element analysis of structural components, lightweight design, vehicle design, vehicle crashworthiness, shape and topology optimization of vehicle components, meta-heuristic optimization techniques and additive manufacturing.

Published/Copyright: July 5, 2023
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Abstract

In this article, a new prairie dog optimization algorithm (PDOA) is analyzed to realize the optimum economic design of three well-known heat exchangers. These heat exchangers found numerous applications in industries and are an imperative part of entire thermal systems. Optimization of these heat exchangers includes knowledge of thermo-hydraulic designs, design parameters and critical constraints. Moreover, the cost factor is always a challenging task to optimize. Accordingly, total cost optimization, including initial and maintenance, has been achieved using multi strategy enhanced PDOA combining PDOA with Gaussian mutation and chaotic local search (MSPDOA). Shell and tube, fin-tube and plate-fin heat exchangers are a special class of heat exchangers that are utilized in many thermal heat recovery applications. Furthermore, numerical evidences are accomplished to confirm the prominence of the MSPDOA in terms of the statistical results. The obtained results were also compared with the algorithms in the literature. The comparison revealed the best performance of the MSPDOA compared to the rest of the algorithm. The article further suggests the adaptability of MSPDOA for various real-world engineering optimization cases.


Corresponding author: Dildar Gürses, Hybrid and Electric Vehicle Technology, Vocational School of Gemlik Asım Kocabıyık, Bursa Uludağ University, Bursa, Turkey, E-mail:

About the authors

Dildar Gürses

Dr. Dildar Gürses received her BSc, MSc and PhD. degrees from the Department of Mechanical Engineering, Bursa Uludağ University, Bursa, Turkey. She is a lecturer at Bursa Uludag University.

Pranav Mehta

Mr. Pranav Mehta is an Assistant Professor at the Department of Mechanical Engineering, Dharmsinh Desai University, Nadiad-387001, Gujarat, India. He is currently a PhD. research scholar with the Dharmsinh Desai University, Nadiad, Gujarat, India. His major research interest includes metaheuristics techniques, multi-objective optimization, solar-thermal technologies and renewable energy.

Sadiq M. Sait

Dr. Sadiq M. Sait received his Bachelor’s degree in Electronics Engineering from Bangalore University, India, in 1981, and his Master’s and PhD. degrees in Electrical Engineering from the King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, in 1983 and 1987, respectively. He is currently a Professor of Computer Engineering and Director of the Center for Communications and IT Research, KFUPM, Dhahran, Saudi Arabia.

Sumit Kumar

Sumit Kumar received the BEng degree (Hons.) in mechanical engineering from Dr. A.P.J. Abdul Kalam Technical University, Lucknow, India, in 2012, and the MEng degree (Hons.) in design engineering from the Malaviya National Institute of Technology (NIT), Jaipur, India, in 2015. He is currently a PhD. research scholar with the College of Sciences and Engineering, Australian Maritime College, University of Tasmania, Launceston, Australia. His major research interests include metaheuristics techniques, multi-objective optimization, evolutionary algorithm and renewable energy systems.

Ali Riza Yildiz

Dr. Ali Riza Yildiz is a Professor in the Department of Mechanical Engineering, Bursa Uludağ University, Bursa, Turkey. His research interests are the finite element analysis of structural components, lightweight design, vehicle design, vehicle crashworthiness, shape and topology optimization of vehicle components, meta-heuristic optimization techniques and additive manufacturing.

  1. Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

References

[1] Market Research Future, Globe Newswire. Available at: https://tinyurl.com/4a25hz2z [accessed Oct 07, 2021].Search in Google Scholar

[2] P. Mehta, B. S. Yildiz, S. Kumar, et al.., “A Nelder Mead-infused INFO algorithm for optimization of mechanical design problems,” Mater. Test., vol. 64, no. 8, pp. 1172–1182, 2022, https://doi.org/10.1515/mt-2022-0119.Search in Google Scholar

[3] B. S. Yildiz, P. Mehta, S. M. Sait, N. Panagant, S. Kumar, and A. R. Yildiz, “A new hybrid artificial hummingbird-simulated annealing algorithm to solve constrained mechanical engineering problems,” Mater. Test., vol. 64, no. 7, pp. 1043–1050, 2022, https://doi.org/10.1515/mt-2022-0123.Search in Google Scholar

[4] N. Pholdee, S. Kumar, S. Bureerat, W. Nuantong, and W. Dongbang, “Sweep blade design for an axial wind turbine using a surrogate-assisted differential evolution algorithm,” J. Comput. Appl. Mech., vol. 9, no. 1, pp. 217–225, 2022, https://doi.org/10.22055/jacm.2022.40974.3682.Search in Google Scholar

[5] S. Kumar, P. Jangir, G. G. Tejani, and M. Premkumar, “A decomposition based multi-objective heat transfer search algorithm for structure optimization,” Knowl. Base Syst., vol. 253, p. 109591, 2022, https://doi.org/10.1016/j.knosys.2022.109591.Search in Google Scholar

[6] A. Nonutet, Y. Kanokmedhakul, S. Bureerat, G. G. Tehani, P. Artrit, and N. Pholdee, “A small fixed-wing UAV system identification using metaheuristics,” Cogent Eng., vol. 9, no. 1, p. 2114196, 2022, https://doi.org/10.1080/23311916.2022.2114196.Search in Google Scholar

[7] S. Kumar, G. G. Tejani, N. Pholdee, S. Bureerat, and P. Mehta, “Hybrid heat transfer search and passing vehicle search optimizer for multi-objective structural optimization,” Knowl. Base. Syst., vol. 212, p. 106556, 2021, https://doi.org/10.1016/j.knosys.2020.106556.Search in Google Scholar

[8] T. Kunakote, N. Sabangban, S. Kumar, et al.., “Comparative performance of twelve metaheuristics for wind farm layout optimisation,” Arch. Comput. Methods Eng., vol. 29, no. 1, pp. 717–730, 2022, https://doi.org/10.1007/s11831-021-09586-7.Search in Google Scholar

[9] M. Azizi, S. Talatahari, and A. H. Gandomi, “Fire Hawk Optimizer: a novel metaheuristic algorithm,” Artif. Intell. Rev., vol. 56, no. 1, pp. 287–363, 2023, https://doi.org/10.1007/s10462-022-10173-w.Search in Google Scholar

[10] O. N. Oyelade, A. E.-S. Ezugwu, T. I. A. Mohamed, and L. Abualigah, “Ebola optimization search algorithm: a new nature-inspired metaheuristic optimization algorithm,” IEEE Access, vol. 10, pp. 16150–16177, 2022, https://doi.org/10.1109/ACCESS.2022.3147821.Search in Google Scholar

[11] J.-S. Pan, L.-G. Zhang, R.-B. Wang, V. Snášel, and S.-C. Chu, “Gannet optimization algorithm: a new metaheuristic algorithm for solving engineering optimization problems,” Math. Comput. Simulat., vol. 202, pp. 343–373, 2022, https://doi.org/10.1016/j.matcom.2022.06.007.Search in Google Scholar

[12] S. Zhao, T. Zhang, S. Ma, and M. Chen, “Dandelion optimizer: a nature-inspired metaheuristic algorithm for engineering applications,” Eng. Appl. Artif. Intell., vol. 114, p. 105075, 2022, https://doi.org/10.1016/j.engappai.2022.105075.Search in Google Scholar

[13] Y. Ç. Kuyu and F. Vatansever, “GOZDE: a novel metaheuristic algorithm for global optimization,” Future Generat. Comput. Syst., vol. 136, pp. 128–152, 2022, https://doi.org/10.1016/j.future.2022.05.022.Search in Google Scholar

[14] M. A. Akbari, M. Zare, R. Azizipanah-abarghooee, S. Mirjalili, and M. Deriche, “The cheetah optimizer: a nature-inspired metaheuristic algorithm for large-scale optimization problems,” Sci. Rep., vol. 12, no. 1, p. 10953, 2022, https://doi.org/10.1038/s41598-022-14338-z.Search in Google Scholar PubMed PubMed Central

[15] C. Zhong, G. Li, and Z. Meng, “Beluga whale optimization: a novel nature-inspired metaheuristic algorithm,” Knowl. Base Syst., vol. 251, p. 109215, 2022, https://doi.org/10.1016/j.knosys.2022.109215.Search in Google Scholar

[16] F. Zitouni, S. Harous, A. Belkeram, and L. E. B. Hammou, “The archerfish hunting optimizer: a novel metaheuristic algorithm for global optimization,” Arab. J. Sci. Eng., vol. 47, no. 2, pp. 2513–2553, 2022, https://doi.org/10.1007/s13369-021-06208-z.Search in Google Scholar

[17] V. Goodarzimehr, S. Shojaee, S. Hamzehei-Javaran, and S. Talatahari, “Specialrelativity search: a novel metaheuristic method based on special relativity physics,” Knowl. Base Syst., vol. 257, p. 109484, 2022, https://doi.org/10.1016/j.knosys.2022.109484.Search in Google Scholar

[18] B. S. Yıldız, P. Mehta, N. Panagant, S. Mirjalili, and A. R. Yildiz, “A novel chaotic Runge Kutta optimization algorithm for solving constrained engineering problems,” J. Comput. Des. Eng., vol. 9, no. 6, pp. 2452–2465, 2022, https://doi.org/10.1093/jcde/qwac113.Search in Google Scholar

[19] B. S. Yildiz, N. Pholdee, P. Mehta, et al.., “A novel hybrid flow direction optimizer-dynamic oppositional based learning algorithm for solving complex constrained mechanical design problems,” Mater. Test., vol. 65, no. 1, pp. 134–143, 2023, https://doi.org/10.1515/mt-2022-0183.Search in Google Scholar

[20] V. K. Patel and R. Rao, “Design optimization of shell-and-tube heat exchanger using particle swarm optimization technique,” Appl. Therm. Eng., vol. 30, nos. 11–12, pp. 1417–1425, 2010, https://doi.org/10.1016/j.applthermaleng.2010.03.001.Search in Google Scholar

[21] R. K. Shah and D. P. Sekulic, Fundamentals of Heat Exchanger Design, New york, John Wiley & Sons, 2003.10.1002/9780470172605Search in Google Scholar

[22] A. C. Caputo, P. M. Pelagagge, and P. Salini, “Heat exchanger design based on economic optimisation,” Appl. Therm. Eng., vol. 28, no. 10, pp. 1151–1159, 2008, https://doi.org/10.1016/j.applthermaleng.2007.08.010.Search in Google Scholar

[23] V. Patel, B. Raja, V. Savsani, and A. R. Yildiz, “Qualitative and quantitative performance comparison of recent optimization algorithms for economic optimization of the heat exchangers,” Arch. Comput. Methods Eng., vol. 28, no. 4, pp. 2881–2896, 2021, https://doi.org/10.1007/s11831-020-09479-1.Search in Google Scholar

[24] A. E. Ezugwu, J. O. Agushaka, L. Abualigah, S. Mirjalili, and A. H. Gandomi, “Prairie dog optimization algorithm,” Neural Comput. Appl., vol. 34, no. 22, pp. 20017–20065, 2022, https://doi.org/10.1007/s00521-022-07530-9.Search in Google Scholar

[25] S. Sanaye and H. Hajabdollahi, “Multi-objective optimization of shell and tube heat exchangers,” Appl. Therm. Eng., vol. 30, nos. 14–15, pp. 1937–1945, 2010, https://doi.org/10.1016/j.applthermaleng.2010.04.018.Search in Google Scholar

[26] J. Guo, L. Cheng, and M. Xu, “Optimization design of shell-and-tube heat exchanger by entropy generation minimization and genetic algorithm,” Appl. Therm. Eng., vol. 29, nos. 14–15, pp. 2954–2960, 2009, https://doi.org/10.1016/j.applthermaleng.2009.03.011.Search in Google Scholar

[27] A. Şencan Şahin, B. Kılıç, and U. Kılıç, “Design and economic optimization of shell and tube heat exchangers using Artificial Bee Colony (ABC) algorithm,” Energy Convers. Manage., vol. 52, no. 11, pp. 3356–3362, 2011, https://doi.org/10.1016/j.enconman.2011.07.003.Search in Google Scholar

[28] A. R. Yıldız and M. U. Erdaş, “A new hybrid taguchi-salp swarm optimization algorithm for the robust design of real-world engineering problems,” Mater. Test., vol. 63, no. 2, pp. 157–162, 2021, https://doi.org/10.1515/mt-2020-0022.Search in Google Scholar

[29] 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 Syst. Appl., vol. 183, p. 115351, 2021, https://doi.org/10.1016/j.eswa.2021.115351.Search in Google Scholar

[30] H. Abderazek, F. Hamza, A. R. Yildiz, and S. M. Sait, “Comparative investigation of the moth-flame algorithm and whale optimization algorithm for optimal spur gear design,” Mater. Test., vol. 63, no. 3, pp. 266–271, 2021, https://doi.org/10.1515/mt-2020-0039.Search in Google Scholar

[31] D. Gürses, S. Bureerat, S. M. Sait, and A. R. Yıldız, “Comparison of the arithmetic optimization algorithm, the slime mold optimization algorithm, the marine predators algorithm, the salp swarm algorithm for real-world engineering applications,” Mater. Test., vol. 63, no. 5, pp. 448–452, 2021, https://doi.org/10.1515/mt-2020-0076.Search in Google Scholar

[32] B. S. Yıldız, N. Pholdee, S. Bureerat, M. U. Erdaş, A. R. Yıldız, and S. M. Sait, “Comparision of the political optimization algorithm, the Archimedes optimization algorithm and the Levy flight algorithm for design optimization in industry,” Mater. Test., vol. 63, no. 4, pp. 356–359, 2021, https://doi.org/10.1515/mt-2020-0053.Search in Google Scholar

[33] B. S. Yildiz, N. Pholdee, S. Bureerat, A. R. Yildiz, and S. M. Sait, “Enhanced grasshopper optimization algorithm using elite opposition-based learning for solving real-world engineering problems,” Eng. Comput., 2021, https://doi.org/10.1007/s00366-021-01368-w.Search in Google Scholar

[34] A. R. Yildiz and F. Ozturk, “Hybrid enhanced genetic algorithm to select optimal machiningparameters in turning operation,” Proc. Inst. Mech. Eng. Transport Eng. Manuf., vol. 220, no. 12, pp. 2041–2053, 2006, https://doi.org/10.1243/09544054JEM570.Search in Google Scholar

[35] B. S. Yildiz, N. Pholdee, S. Bureerat, A. R. Yildiz, and S. M. Sait, “Robust design of a robot gripper mechanism using new hybrid grasshopper optimization algorithm,” Expert Syst., vol. 38, no. 3, 2021, Art. no. e12666, https://doi.org/10.1111/exsy.12666.Search in Google Scholar

[36] B. S. Yildiz, S. Kumar, N. Pholdee, S. Bureerat, S. M. Sait, and A. R. Yildiz, “A new chaotic Lévy flight distribution optimization algorithm for solving constrained engineering problems,” Expert Syst., vol. 39, no. 8, p. 12992, 2022, https://doi.org/10.1111/exsy.12992.Search in Google Scholar

[37] A. R. Yildiz, N. Kaya, N. Öztürk, F. Öztürk, and F. Öztürk, “Hybrid approach for genetic algorithm and Taguchi’s method based design optimization in the automotive industry,” Int. J. Prod. Res., vol. 44, pp. 4897–4914, 2006, https://doi.org/10.1080/00207540600619932.Search in Google Scholar

[38] C. M. Aye, N. Pholdee, A. R. Yildiz, S. Bureerat, and S. M. Sait, “Multi-surrogate-assisted metaheuristics for crashworthiness optimisation,” Int. J. Veh. Des., vol. 80, nos. 2–4, pp. 223–240, 2021, https://doi.org/10.1504/IJVD.2019.109866.Search in Google Scholar

[39] B. S. Yildiz, N. Pholdee, N. Panagant, S. Bureerat, A. R. Yildiz, and S. M. Sait, “A novel chaotic Henry gas solubility optimization algorithm for solving real-world engineering problems,” Eng. Comput., vol. 38, no. 2, pp. 871–883, 2022, https://doi.org/10.1007/s00366-020-01268-5.Search in Google Scholar

[40] A. R. Yildiz and F. Öztürk, “Hybrid Taguchi-Harmony search approach for shape optimization,” in Recent Advances in Harmony Search Algorithm, Studies in Computational Intelligence, vol. 270, Z. W. Geem, Ed., Berlin, Heidelberg, Springer, 2010, pp. 89–93.10.1007/978-3-642-04317-8_8Search in Google Scholar

[41] T. Güler, E. Demirci, S. M. Sait, A. R. Yıldız, and U. Yavuz, “Lightweight design of an automobile hinge component using glass fiber polyamide composites,” Mater. Test., vol. 60, no. 3, pp. 306–250, 2018, https://doi.org/10.3139/120.111152.Search in Google Scholar

[42] A. R. Yildiz, N. Kaya, F. Öztürk, and O. Alankus, “Optimal design of vehicle components using topology design and optimisation,” Int. J. Veh. Des., vol. 34, no. 4, pp. 387–398, 2004, https://doi.org/10.1504/IJVD.2004.004064.Search in Google Scholar

[43] N. Öztürk, A. R. Yildiz, N. Kaya, and F. Öztürk, “Neuro-genetic design optimization framework to support the integrated robust design optimization process in CE,” Concurr. Eng., vol. 14, no. 1, pp. 5–16, 2006, https://doi.org/10.1177/1063293X06063314.Search in Google Scholar

[44] B. S. Yildiz, “Marine predators algorithm and multi-verse optimisation algorithm for optimal battery case design of electric vehicles,” Int. J. Veh. Des., vol. 88, no. 1, pp. 1–11, 2022, https://doi.org/10.1504/IJVD.2022.124866.Search in Google Scholar

[45] A. Karaduman, B. S. Yıldız, and A. R. Yıldız, “Experimental and numerical fatigue-based design optimisation of clutch diaphragm spring in the automotive industry,” Int. J. Veh. Des., vol. 80, nos. 2–4, pp. 330–345, 2020, https://doi.org/10.1504/IJVD.2019.109875.Search in Google Scholar

[46] E. Demirci and A. R. Yıldız, “A new hybrid approach for reliability-based design optimization of structural components,” Mater. Test., vol. 61, no. 2, pp. 111–119, 2019, https://doi.org/10.3139/120.111291.Search in Google Scholar

[47] B. S. Yildiz, “Robust design of electric vehicle components using a new hybrid salp swarm algorithm and radial basis function-based approach,” Int. J. Veh. Des., vol. 83, no. 1, pp. 38–53, 2020, https://doi.org/10.1504/IJVD.2020.114779.Search in Google Scholar

[48] B. Aslan and A. R. Yildiz, “Optimum design of automobile components using lattice structures for additive manufacturing,” Mater. Test., vol. 62, no. 6, pp. 633–639, 2020, https://doi.org/10.3139/120.111527.Search in Google Scholar

[49] P. Mehta, B. S. Yildiz, S. M. Sait, and A. R. Yildiz, “Hunger games search algorithm for global optimization of engineering design problems,” Mater. Test., vol. 64, no. 4, pp. 524–532, 2022, https://doi.org/10.1515/mt-2022-0013.Search in Google Scholar

[50] B. S. Yildiz, S. Bureerat, N. Panagant, P. Mehta, and A. R. Yildiz, “Reptile search algorithm and kriging surrogate model for structural design optimization with natural frequency constraints,” Mater. Test., vol. 64, no. 10, pp. 1504–1511, 2022, https://doi.org/10.1515/mt-2022-0048.Search in Google Scholar

[51] P. Mehta, B. S. Yildiz, S. M. Sait, and A. R. Yildiz, “Gradient-based optimizer for economic optimization of engineering problems,” Mater. Test., vol. 64, no. 5, pp. 690–696, 2022, https://doi.org/10.1515/mt-2022-0055.Search in Google Scholar

[52] D. Gürses, P. Mehta, V. Patel, S. M. Sait, and A. R. Yildiz, “Artificial gorilla troops algorithm for the optimization of a fine plate heat exchanger,” Mater. Test., vol. 64, no. 9, pp. 1325–1331, 2022, https://doi.org/10.1515/mt-2022-0049.Search in Google Scholar

[53] B. S. Yildiz, V. Patel, N. Pholdee, S. M. Sait, S. Bureerat, and A. R. Yildiz, “Conceptual comparison of the ecogeography-based algorithm, equilibrium algorithm, marine predators algorithm and slime mold algorithm for optimal product design,” Mater. Test., vol. 63, no. 4, pp. 336–340, 2021, https://doi.org/10.1515/mt-2020-0049.Search in Google Scholar

[54] D. Gürses, P. Mehta, S. M. Sait, and A. R. Yildiz, “African vultures optimization algorithm for optimization of shell and tube heat exchangers,” Mater. Test., vol. 64, no. 8, pp. 1234–1241, 2022, https://doi.org/10.1515/mt-2022-0050.Search in Google Scholar

[55] J. Luo, H. Chen, A. A. Heidari, Y. Xu, Q. Zhang, and C. Li, “Multi-strategy boosted mutative whale-inspired optimization approaches,” Appl. Math. Model., vol. 73, pp. 109–123, 2019, https://doi.org/10.1016/j.apm.2019.03.046.Search in Google Scholar

[56] E. Demirci and A. R. Yildiz, “An experimental and numerical investigation of the effects of geometry and spot welds on the crashworthiness of vehicle thin-walled structures,” Mater. Test., vol. 60, no. 6, pp. 553–561, 2018, https://doi.org/10.3139/120.111187.Search in Google Scholar

[57] H. Gökdağ and A. R. Yildiz, “Structural damage detection using modal parameters and particle swarm optimization,” Mater. Test., vol. 54, no. 6, pp. 416–420, 2012, https://doi.org/10.3139/120.110346.Search in Google Scholar

[58] E. Demirci and A. R. Yıldız, “An investigation of the crash performance of magnesium, aluminum and advanced high strength steels and different cross-sections for vehicle thin-walled energy absorbers,” Mater. Test., vol. 60, nos. 7–8, pp. 661–668, 2018, https://doi.org/10.3139/120.111201.Search in Google Scholar

[59] A. R. Yildiz, “Optimal structural design of vehicle components using topology design and optimization,” Mater. Test., vol. 50, no. 4, pp. 224–228, https://doi.org/10.3139/120.100880.Search in Google Scholar

[60] B. S. Yıldız, N. Pholdee, S. Bureerat, A. R. Yıldız, and S. M. Sait, “Sine-cosine optimization algorithm for the conceptual design of automobile components,” Mater. Test., vol. 62, no. 7, pp. 744–748, 2020, https://doi.org/10.3139/120.111541.Search in Google Scholar

[61] H. Abderazek, S. M. Sait, and A. R. Yildiz, “Optimal design of planetary gear train for automotive transmissions using advanced meta-heuristics,” Int. J. Veh. Des., vol. 80, nos. 2–4, p. 121, 2019, https://doi.org/10.1504/IJVD.2019.109862.Search in Google Scholar

[62] H. Abderazek, A. R. Yildiz, and S. M. Sait, “Mechanical engineering design optimization using novel adaptive differential evolution algorithm,” Int. J. Veh. Des., vol. 80, nos. 2/3/4, p. 285, 2019, https://doi.org/10.1504/IJVD.2019.109873.Search in Google Scholar

Published Online: 2023-07-05
Published in Print: 2023-09-26

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