Abstract
Many population-dependent solutions have recently been suggested. Despite their widespread adoption in many applications, we are still researching using suggested methods to solve real-world problems. As a result, researchers must significantly adjust and refine their procedures based on the main evolutionary processes to ensure faster convergence, consistent equilibrium with high-quality results, and optimization. Thus, a new hybrid method using Aquila optimizer (AO) and arithmetic optimization algorithm (AOA) is proposed in this paper. AO and AOA are both modern meta-heuristic optimization methods. They can be applied to different problems, including image processing, machine learning, wireless networks, power systems, engineering design etc. The proposed approach is examined concerning AO and AOA. To determine results, each procedure is evaluated using the same parameters, such as population size and several iterations. By changing the dimensions, the proposed approach (AO–AOA) is evaluated. The impact of varying dimensions is a standard test that has been used in previous studies to optimize test functions that demonstrate the influence of varying dimensions on the efficiency of AO–AOA. It is clear from this that it fits well with both high- and low-dimensional problems. Population-based methods achieve efficient search results in high-dimensional problems.







Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Data and Code Availability
Not applicable.
References
Abed-alguni, BH., Noor AA (2021) Distributed grey wolf optimizer for scheduling of workflow applications in cloud environments. Appl Soft Comput 102(2021):107113
Abed-alguni BH et al (2021) Exploratory cuckoo search for solving single-objective optimization problems. Soft Comput (2021):1–14
Abualigah L, Diabat A, Mirjalili S, Abd Elaziz M, Gandomi AH (2020) The arithmetic optimization algorithm. Comput Methods Appl Mech Eng 376:113609
Abualigah L, Yousri D, Abd Elaziz M, Ewees AA, Al-qaness MA, Gandomi AH (2021) Aquila optimizer: a novel meta-heuristic optimization algorithm. Comput Indus Eng 107250
Alawad NA, Abed-alguni BH (2021) Discrete Jaya with refraction learning and three mutation methods for the permutation flow shop scheduling problem. J Supercomput 1–22
Boussaïd I, Lepagnot J, Siarry P (2013) A survey on optimization metaheuristics. Inf Sci 10(237):82–117
Carnie SK (1954) Food habits of nesting golden eagles in the coast ranges of California. Condor 56(1):3–12
Coello CA (2002) Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: a survey of the state of the art. Comput Methods Appl Mech Eng 191(11–12):1245–1287
Colorni A, Dorigo M, Maniezzo V (1991) Distributed optimization by ant colonies. In: Proceedings of the first European conference on artificial life, vol 142, pp 134–142
Cuevas E, Echavarría A, Zaldívar D, Pérez-Cisneros M (2013) A novel evolutionary algorithm inspired by the states of matter for template matching. Exp Syst Appl 40(16):6359–6373
Cuevas E, Echavarría A, Ramírez-Ortegón MA (2014) An optimization algorithm inspired by the States of Matter that improves the balance between exploration and exploitation. Appl Intell 40(2):256–272
Davis L (1991) Bit-climbing, representational bias, and test suit design. InProc Intl Conf Genetic Algo 1991:18–23
Dekker D (1985) Hunting behavior of golden eagles, aquila-chrysaetos, migrating in southwestern alberta. Can Field-Nat 99(3):383–385
Eberhat R, Kennedy J (1995) A new optimizer using particle swarm theory. In: Sixth international symposium on micro machine and human science. Piscataway, pp 39–43
Fogel LJ, Owens AJ, Walsh MJ (1966) Artificial intelligence through simulated evolution
Glover F (1989) Tabu search—part I. ORSA J Comput 1(3):190–206
Gogna A, Tayal A (2013) Metaheuristics: review and application. J Exp Theor Artif Intell 25(4):503–526
Hatch DR (1968) Golden eagle hunting tactics. Blue Jay 26(2)
Holland JH (1992) Genetic algorithms. Sci Am 267(1):66–73
Kaveh A, Farhoudi N (2013) A new optimization method: Dolphin echolocation. Adv Eng Softw 1(59):53–70
Kaveh A, Farhoudi N (2016) Dolphin monitoring for enhancing metaheuristic algorithms: Layout optimization of braced frames. Comput Struct 1(165):1–9
Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simulated annealing. Science 220(4598):671–680
Li J, Lin J (2020) A probability distribution detection based hybrid ensemble QoS prediction approach. Inf Sci 1(519):289–305
Li J, Zheng XL, Chen ST, Song WW, Chen DR (2014) An efficient and reliable approach for quality-of-service-aware service composition. Inf Sci 10(269):238–254
Li J, Chen C, Chen H, Tong C (2017) Towards context-aware social recommendation via individual trust. Knowl Based Syst 1(127):58–66
Liu E, Lv L, Yi Y, Xie P (2019) Research on the steady operation optimization model of natural gas pipeline considering the combined operation of air coolers and compressors. IEEE Access 24(7):83251–83265
Lourenço HR, Martin OC, Stützle T (2003) Iterated local search. In: Handbook of metaheuristics. Springer, Boston, MA, pp 320–353
Mahajan S, Mittal N, Pandit AK (2021) Image segmentation using multilevel thresholding based on type II fuzzy entropy and marine predators algorithm. Multim Tools Appl 26:1–25
Marler RT, Arora JS (2004) Survey of multi-objective optimization methods for engineering. Struct Multidisc Optim 26(6):369–395
Meinertzhagen R (1940) How do larger raptorial birds hunt their prey. Ibis 4:530–535
Michalewicz Z (2013) Genetic algorithms+ data structures= evolution programs. Springer Science & Business Media
Mirjalili S, Lewis A (2013) S-shaped versus V-shaped transfer functions for binary particle swarm optimization. Swarm Evol Comput 1(9):1–4
Mirjalili S, Mirjalili SM, Lewis A (2014) Grey wolf optimizer. Adv Eng Softw 1(69):46–61
Pang J, Zhou H, Tsai YC, Chou FD (2018) A scatter simulated annealing algorithm for the bi-objective scheduling problem for the wet station of semiconductor manufacturing. Comput Ind Eng 1(123):54–66
Saremi S, Mirjalili S, Lewis A (2017) Grasshopper optimisation algorithm: theory and application. Adv Eng Softw 1(105):30–47
Spall JC (2005) Introduction to stochastic search and optimization: estimation, simulation, and control. John Wiley & Sons
Steenhof K, Kochert MN, Mcdonald TL (1997) Interactive effects of prey and weather on golden eagle reproduction. J Anim Ecol 1:350–362
Storn R, Price K (1997) Differential evolution–a simple and efficient heuristic for global optimization over continuous spaces. J Global Optim 11(4):341–359
Watson J (2010) The golden eagle. Bloomsbury Publishing
Wen F, Yang X, Gong X, Lai KK (2017) Multi-scale volatility feature analysis and prediction of gold price. Int J Inf Technol Decis Mak 16(01):205–223
Wolpert DH, Macready WG (1997) No free lunch theorems for optimization. IEEE Trans Evol Comput 1(1):67–82
Yan J, Pu W, Zhou S, Liu H, Bao Z (2020) Collaborative detection and power allocation framework for target tracking in multiple radar system. Inform Fusion 1(55):173–183
Yang XS (2010) Firefly algorithm, stochastic test functions and design optimisation. Int J Bio-Inspired Comput 2(2):78–84
Yang XS, Deb S (2010) Engineering optimisation by cuckoo search. Int J Math Modell Numer Optim 1(4):330–343
Yang XS, Bramer M, Ellis R, Petridis M (2010) Research and development in intelligent systems XXVI. Springer, Development
Yang XS (2010) Nature-inspired metaheuristic algorithms. Luniver press
Yang XS (2010) A new metaheuristic bat-inspired algorithm. In: Nature inspired cooperative strategies for optimization (NICSO 2010). Springer, Berlin, Heidelberg, pp 65–74
Yang XS (2012) Flower pollination algorithm for global optimization. In: International conference on unconventional computing and natural computation. Springer, Berlin, Heidelberg, pp 240–249
Yang Y, Chen H, Heidari AA, Gandomi AH (2021) Hunger games search: visions, conception, implementation, deep analysis, perspectives, and towards performance shifts. Exp Syst Appl 10:114864
Zhou A, Qu BY, Li H, Zhao SZ, Suganthan PN, Zhang Q (2011) Multiobjective evolutionary algorithms: a survey of the state of the art. Swarm Evol Comput 1(1):32–49
Acknowledgements
This study was financially supported via a funding grant by Deanship of Scientific Research, Taif University Researchers Supporting Project number (TURSP-2020/300), Taif University, Taif, Saudi Arabia.
Funding
The authors received no specific funding for this study. Taif University, TURSP-2020/300, Maryam Altalhi.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflicts of interest to report regarding the present study.
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
Mahajan, S., Abualigah, L., Pandit, A.K. et al. Hybrid Aquila optimizer with arithmetic optimization algorithm for global optimization tasks. Soft Comput 26, 4863–4881 (2022). https://doi.org/10.1007/s00500-022-06873-8
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-022-06873-8