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Fusion of modern meta-heuristic optimization methods using arithmetic optimization algorithm for global optimization tasks

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Abstract

Several population-based techniques have subsequently been proposed. Despite their broad use in a variety of applications, we are still investigating the use of proposed methods to tackle real-world challenges. As a result, researchers must considerably modify and enhance their approaches based on the primary evolutionary processes in order to achieve rapid convergence, consistent equilibrium with high-quality data, and optimization. The paper proposes a fusion method (AOA–GOA) meta-heuristic optimization methods for global optimization tasks. They can be applied to different problems, including image processing, machine learning, wireless networks, power systems, engineering design, etc. The method fusion proposed is analyzed in context with GOA and AOA. To evaluate the performance, each method is tested on the same parameters like population size and number of iteration. The proposed IAOA is evaluated by varying the dimensions. The impact of varying dimensions is a standard test used in previous studies for optimizing test functions that show the effect of varying dimensions on efficiency of IAOA. From this, it is noted that it works efficiently for both high and low dimensional problems. In high dimensional problem, the proposed method gives efficient search results.

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References

  • Abualigah L, Diabat A (2020) A comprehensive survey of the grasshopper optimization algorithm: results, variants, and applications. Neural Comput Appl, 1–24

  • Abualigah L et al (2021) The arithmetic optimization algorithm. Comput Methods Appl Mech Eng 376: 113609

  • Abualigah L et al (2022) Reptile Search Algorithm (RSA): a nature-inspired meta-heuristic optimizer. Expert Syst Appl 191: 116158

  • Agushaka JO, Ezugwu AE, Abualigah L (2022a) Dwarf mongoose optimization algorithm. In: Computer methods in applied mechanics and engineering 391:114570

  • Agushaka JO, Ezugwu AE, Abualigah L (2022b) Dwarf mongoose optimization algorithm. Comput Methods Appl Mech Eng 391:114570

  • Bansal M, Kumar M, Kumar M (2021) 2D object recognition: a comparative analysis of SIFT, SURF and ORB feature descriptors. Multimed Tools Appl 80:18839–18857. https://doi.org/10.1007/s11042-021-10646-0

    Article  Google Scholar 

  • Boussaïd I, Lepagnot J, Siarry P (2013) A survey on optimization metaheuristics. Inf Sci 237:82–117

    Article  MathSciNet  Google Scholar 

  • Coello Coello CA (2002) Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: a survey of the state of the art. Comput Meth Appl Mech Eng 191:1245–1287

    Article  MathSciNet  Google Scholar 

  • Colorni A, Dorigo M, Maniezzo V (1991) Distributed optimization by ant colonies. In: Proceedings of the first European conference on artificial life, vol 142

  • Cuevas E et al (2013) A novel evolutionary algorithm inspired by the states of matter for template matching. Expert Syst Appl 40(16):6359–6373

    Article  Google Scholar 

  • 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 40:256–272

    Article  Google Scholar 

  • Dasgupta D, Michalewicz Z, eds (2013) Evolutionary algorithms in engineering applications. Springer: Berlin

  • Davis L (1991) Bit-climbing, representational bias, and test suite design. ICGA 1991:18–23.

  • Eberhart R, Kennedy J (1995) A new optimizer using particle swarm theory. In: MHS'95. Proceedings of the sixth international symposium on micro machine and human science, Nagoya, Japan, 1995, pp 39–43. doi: https://doi.org/10.1109/MHS.1995.494215

  • Fogel LJ, Owens AJ, Walsh MJ (1966) Artificial intelligence through simulated evolution

  • Glover F (1989) Tabu search-part I. ORSA J Comput 1:190–206

    Article  Google Scholar 

  • Gogna A, Tayal A (2013) Metaheuristics: review and application. J Exp Theor Artif Intell 25(4):503–526

    Article  Google Scholar 

  • Holland JH (1992) Genetic algorithms. Sci Am 267(1):66–73

    Article  Google Scholar 

  • Kaveh A, Farhoudi N (2013) A new optimization method: dolphin echolocation. Adv Eng Softw 59:53–70

    Article  Google Scholar 

  • Kaveh A, Farhoudi N (2016) Dolphin monitoring for enhancing metaheuristic algorithms. Comput Struct 165:1–9

    Article  Google Scholar 

  • Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simmulated annealing. Science 220:671–680

    Article  MathSciNet  Google Scholar 

  • Lourenço HR, Martin OC, Stutzle T (2001) Iterated local search. arXiv preprint math/0102188

  • Mahajan S et al (2022) Image segmentation and optimization techniques: a short overview. Medicon Eng Themes 2(2):47–49

    Google Scholar 

  • Mahajan S, Pandit AK (2021) Hybrid method to supervise feature selection using signal processing and complex algebra techniques. Multimed Tools Appl. https://doi.org/10.1007/s11042-021-11474-y

    Article  Google Scholar 

  • Mahajan S, Mittal N, Pandit AK (2021) Image segmentation using multilevel thresholding based on type II fuzzy entropy and marine predators algorithm. Multimed Tools Appl

  • Mahajan S, et al (2022) An efficient adaptive salp swarm algorithm using type II fuzzy entropy for multilevel thresholding image segmentation. Comput Math Methods Med

  • Marler RT, Arora JS (2004) Survey of multi-objective optimization methods for engineering. Struct Multidiscipl Optim 26:369–395

    Article  MathSciNet  Google Scholar 

  • Mirjalili S, Lewis A (2013) S-shaped versus V-shaped transfer functions for binary particle swarm optimization. Swarm Evol Comput 9:1–14

    Article  Google Scholar 

  • Mirjalili S, Mirjalili SM, Lewis A (2014) Grey wolf optimizer. Adv Eng Softw 69:46–61

    Article  Google Scholar 

  • Oyelade ON, Ezugwu AE, Mohamed TI, Abualigah L (2022) Ebola optimization search algorithm: a new nature-inspired metaheuristic algorithm with application in medical image classification problem. IEEE Access.

  • Rogers SM, et al (2003) Mechanosensory-induced behavioural gregarization in the desert locust Schistocerca gregaria. J Exp Biol 206(22): 3991–4002

  • Saremi S, Mirjalili S, Lewis A (2017) Grasshopper optimisation algorithm: theory and application. Adv Eng Softw 105:30–47

    Article  Google Scholar 

  • Spall JC (2005) Introduction to stochastic search and optimization: estimation, simulation, and control, vol 65. Wiley, London

    MATH  Google Scholar 

  • Storn R, Price K (1997) Differential evolution: a simple and efficient heuristic for global optimization over continuous spaces. J Global Optim 11:341–359

    Article  MathSciNet  Google Scholar 

  • Topaz CM, et al (2008) A model for rolling swarms of locusts. Eur Phys J Special Topics 157(1): 93–109

  • Wolpert DH, Macready WG (1997) No free lunch theorems for optimization. IEEE Trans Evol Comput 1(1):67–82

    Article  Google Scholar 

  • Yang X-S (2010a) Nature-inspired metaheuristic algorithms. Luniver Press

  • Yang X-S (2010b) Firefly algorithm, stochastic test functions and design optimisation. Int J Bio-Inspired Comput 2(2):78–84

    Article  Google Scholar 

  • Yang XS (2010c) Firefly algorithm, Lévy flights and global optimization. In: Bramer M, Ellis R, Petridis M (eds) Research and development in intelligent systems XXVI. Springer:London. https://doi.org/10.1007/978-1-84882-983-1_15

  • Yang XS (2010d) A new metaheuristic bat-inspired algorithm. In: González JR, Pelta DA, Cruz C, Terrazas G, Krasnogor N (eds) Nature inspired cooperative strategies for optimization (NICSO 2010d). Studies in computational intelligence, vol 284. Springer, Berlin. https://doi.org/10.1007/978-3-642-12538-6_6

  • Yang XS (2012) Flower pollination algorithm for global optimization. In: Durand-Lose J, Jonoska N (eds) Unconventional computation and natural computation. In: UCNC 2012. Lecture Notes in Computer Science, vol 7445. Springer, Berlin

  • Yang X-S, Deb S (2010) Engineering optimisation by cuckoo search. Int J Math Model Numer Optim 1(4):330–343

    MATH  Google Scholar 

  • Zhou A, et al (2011) Multiobjective evolutionary algorithms: a survey of the state of the art. Swarm Evol Comput 1(1): 32–49

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Funding

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.

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Correspondence to Shubham Mahajan.

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Mahajan, S., Abualigah, L., Pandit, A.K. et al. Fusion of modern meta-heuristic optimization methods using arithmetic optimization algorithm for global optimization tasks. Soft Comput 26, 6749–6763 (2022). https://doi.org/10.1007/s00500-022-07079-8

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