Abstract
Grey Wolf Optimizer (GWO) has been proposed recently. As GWO has superior performance, it has been employed to solve various numerical and engineering issues. However, it easily traps into stagnation when solving complex and multimodal problems. GWO mainly searches around the top three wolves and assigns the same weights to them, deteriorating the convergence and exploration. A reinforced exploitation and exploration GWO (REEGWO) is developed. In the proposed REEGWO algorithm, the top three wolves are given different weights on the basis of their knowledge about the location of the prey. Then, a random search based on the tournament selection is used to enhance the exploration. A well-designed mechanism is developed to balance exploration and exploitation. The experimental results have proved that REEGWO is perfect among GWO and its four recently top variants. Then, the proposed REEGWO is compared with the latest heuristic algorithms and their latest variants. The results have shown that REEGWO is competitive. Four real-world applications are also solved by six algorithms, and results have further validated the efficiency of REEGWO.
Similar content being viewed by others
References
Gupta S, Deep K (2020) A memory-based Grey wolf optimizer for global optimization tasks. Appl Soft Comput 93:106367
Hashim FA, Hussain K, Houssein EH, Mabrouk MS, Al-Atabany W (2020) Archimedes optimization algorithm: a new metaheuristic algorithm for solving optimization problems. Appl Intell 51:1531–1551
Houssein EH, Saad MR, Hashim FA, Shaban H, Hassaballah M (2020) Lévy flight distribution: a new metaheuristic algorithm for solving engineering optimization problems. Eng Appl Artif Intell 94:103731
Hashim FA, Houssein EH, Mabrouk MS, Al-Atabany W, Mirjalili S (2019) Henry gas solubility optimization: a novel physics-based algorithm. Futur Gener Comput Syst 101:646–667
Li S, Chen H, Wang M, Heidari AA, Mirjalili S (2020) Slime mould algorithm: a new method for stochastic optimization. Futur Gener Comput Syst 111:300–323
Houssein EH, Mahdy MA, Blondin MJ, Shebl D, Mohamed WM (2021) Hybrid slime mould algorithm with adaptive guided differential evolution algorithm for combinatorial and global optimization problems. Expert Syst Appl 174:114689
Mirjalili S, Mirjalili SM, Lewis A (2014) Grey wolf optimizer. Adv Eng Softw 69:46–61
Long W, Jiao J, Liang X, Tang M (2018) An exploration-enhanced grey wolf optimizer to solve high-dimensional numerical optimization. Eng Appl Artif Intell 68:63–80
Long W, Jiao J, Liang X, Tang M (2018) Inspired grey wolf optimizer for solving large-scale function optimization problems. Appl Math Model 60:112–126
Rodríguez L, Castillo O, Soria J, Melin P, Valdez F, Gonzalez CI, Martinez GE, Soto J (2017) A fuzzy hierarchical operator in the grey wolf optimizer algorithm. Appl Soft Comput 57:315–328
Liu X, Wang N (2021) A novel gray wolf optimizer with RNA crossover operation for tackling the non-parametric modeling problem of FCC process. Knowl-Based Syst 216:106751
Farahmand Azar B, Veladi H, Raeesi F, Talatahari S (2020) Control of the nonlinear building using an optimum inverse TSK model of MR damper based on modified grey wolf optimizer. Eng Struct 214:110657
Dhargupta S, Ghosh M, Mirjalili S, Sarkar R (2020) Selective opposition based Grey wolf optimization. Expert Syst Appl 151:113389
Nadimi-Shahraki MH, Taghian S, Mirjalili S (2021) An improved grey wolf optimizer for solving engineering problems. Expert Syst Appl 166:113917
Heidari AA, Pahlavani P (2017) An efficient modified grey wolf optimizer with Lévy flight for optimization tasks. Appl Soft Comput 60:115–134
Mittal N, Singh U, Sohi BS (2016) Modified Grey wolf optimizer for global engineering optimization. Appl Comput Intell Soft Comput 2016:1–16
Fan Q, Huang H, Li Y, Han Z, Hu Y, Huang D (2021) Beetle antenna strategy based grey wolf optimization. Expert Syst Appl 165:113882
Lu C, Gao L, Li X, Hu C, Yan X, Gong W (2020) Chaotic-based grey wolf optimizer for numerical and engineering optimization problems. Memet Comput 12:371–398
Gupta S, Deep K (2019) A novel random walk Grey wolf optimizer. Swarm Evol Comput 44:101–112
Zhang X, Wang X, Chen H, Wang D, Fu Z (2019) Improved GWO for large-scale function optimization and MLP optimization in cancer identification. Neural Comput & Applic 32:1305–1325
Zhang X, Lin Q, Mao W, Liu S, Dou Z, Liu G (2021) Hybrid particle swarm and Grey wolf optimizer and its application to clustering optimization. Appl Soft Comput 101:107061
Miao D, Chen W, Zhao W, Demsas T (2020) Parameter estimation of PEM fuel cells employing the hybrid grey wolf optimization method. Energy 193:116616
Qu C, Gai W, Zhong M, Zhang J (2020) A novel reinforcement learning based grey wolf optimizer algorithm for unmanned aerial vehicles (UAVs) path planning. Appl Soft Comput 89:106099
Tawhid MA, Ibrahim AM (2019) A hybridization of grey wolf optimizer and differential evolution for solving nonlinear systems. Evol Syst 11:65–87
Jayabarathi T, Raghunathan T, Adarsh BR, Suganthan PN (2016) Economic dispatch using hybrid grey wolf optimizer. Energy 111:630–641
Faramarzi A, Heidarinejad M, Mirjalili S, Gandomi AH (2020) Marine predators algorithm: a nature-inspired metaheuristic. Expert Syst Appl 152:113377
Hansen N, Ostermeier A (2001) Completely Derandomized self-adaptation in evolution strategies. Evol Comput 9:159–195
Biedrzycki R (2017) A version of IPOP-CMA-ES algorithm with midpoint for CEC 2017 single objective bound constrained problems. In: 2017 IEEE Congress on Evolutionary Computation (CEC), pp. 1489–1494
Yavuz G, Aydın D (2019) Improved self-adaptive search equation-based artificial bee Colony algorithm with competitive local search strategy. Swarm Evol Comput 51:100582
Sallam KM, Elsayed SM, Chakrabortty RK, Ryan MJ (2020) Improved Multi-operator Differential Evolution Algorithm for Solving Unconstrained Problems. In: 2020 IEEE Congress on Evolutionary Computation (CEC), pp. 1–8
Besada-Portas E, de la Torre L, Jesus M, de Andrés-Toro B (2010) Evolutionary Trajectory Planner for Multiple UAVs in Realistic Scenarios. IEEE Trans Robot 26:619–634
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Yu, X., Xu, W., Wu, X. et al. Reinforced exploitation and exploration grey wolf optimizer for numerical and real-world optimization problems. Appl Intell 52, 8412–8427 (2022). https://doi.org/10.1007/s10489-021-02795-4
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10489-021-02795-4