Abstract
Arithmetic optimization algorithm (AOA) is a population-based metaheuristic algorithm that mimics the properties of primitive arithmetic operators. Researchers were attracted to AOA after its development in 2021. It has been extensively applied across several research domains. This study presents a thorough analysis of the AOA. The mathematical modelling of AOA and its inspiration are discussed. The variants of AOA namely improved, binary, chaotic, hybrid, and multi-objective are investigated in detail. The applications of AOA and its variants in numerous research domain are discussed. The possible research directions for AOA are examined. The young researchers will be assisted by this study in comprehending the fundamental ideas of AOA and in applying this knowledge to their own research issues.
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References
Blum C, Roli A (2003) Metaheuristics in combinatorial optimization: overview and conceptual comparison. ACM Comput Surv (CSUR) 35(3):268–308
Khanduja N, Bhushan B (2021) Recent advances and application of metaheuristic algorithms: a survey (2014–2020). In: Malik H, Iqbal A, Joshi P, Agrawal S, Bakhsh FI (eds) Metaheuristic and evolutionary computation: algorithms and applications. Studies in computational intelligence, vol 916. Springer, Singapore
Hussain K, Mohd Salleh MN, Cheng S, Shi Y (2019) Metaheuristic research: a comprehensive survey. Artif Intell Rev 52:2191–2233
Dokeroglu T, Sevinc E, Kucukyilmaz T, Cosar A (2019) A survey on new generation metaheuristic algorithms. Comput Ind Eng 137:106040
Kumar RA, Franklin JV, Koppula N (2022) A comprehensive survey on metaheuristic algorithm for feature selection techniques. Mater Today Proc 64(1):435–441
Kumar V, Chhabra JK, Kumar D (2014) Parameter adaptive harmony search algorithm for unimodal and multimodal optimization problems. J Comput Sci 5(2):144–155
Yu X, Gen M (2010) Introduction to evolutionary algorithms. Springer Science & Business Media, Berlin
Holland JH (1992) Genetic algorithms. Sci Am 267(1):66–73
Hansen N, Arnold DV, Auger A (2015) Evolution strategies. In: Kacprzyk J, Pedrycz W (eds) Springer handbook of computational intelligence. Springer handbooks. Springer, Berlin, Heidelberg
Langdon WB, Poli R (2013) Foundations of genetic programming. Springer Science & Business Media, Berlin
Formato RA (2009) Central force optimisation: a new gradient-like metaheuristic for multidimensional search and optimisation. Int J Bio-Inspired Comput 1(4):217–238
Birbil Şİ, Fang SC (2003) An electromagnetism-like mechanism for global optimization. J Global Optim 25:263–282
Rashedi E, Nezamabadi-Pour H, Saryazdi S (2009) GSA: a gravitational search algorithm. Inf Sci 179(13):2232–2248
Bonyadi MR, Li X (2012) A new discrete electromagnetism-based meta-heuristic for solving the multidimensional knapsack problem using genetic operators. Oper Res Int J 12(2):229–252
Kennedy J (2006) Swarm intelligence. Springer US, New York City, pp 187–219
Chakraborty A, Kar AK (2017) Swarm intelligence: a review of algorithms. In: Patnaik S, Yang XS, Nakamatsu K (eds) Nature-inspired computing and optimization. Modeling and optimization in science and technologies, vol 10. Springer, pp 475–494
Mirjalili S, Mirjalili SM, Lewis A (2014) Grey wolf optimizer. Adv Eng Softw 69:46–61
Chen CY, Ye F (2012) Particle swarm optimization algorithm and its application to clustering analysis. In: 2012 Proceedings of 17th Conference on Electrical Power Distribution. IEEE, pp 789–794
Dhiman G, Kumar V (2018) Emperor penguin optimizer: a bio-inspired algorithm for engineering problems. Knowl Based Syst 159:20–50
Dhiman G, Kumar V (2017) Spotted hyena optimizer: a novel bio-inspired based metaheuristic technique for engineering applications. Adv Eng Softw 114:48–70
Dhiman G, Kumar V (2019) Seagull optimization algorithm: theory and its applications for large-scale industrial engineering problems. Knowl Based Syst 165:169–196
Abualigah L, Diabat A, Mirjalili S, Abd Elaziz M, Gandomi AH (2021) The arithmetic optimization algorithm. Comput Methods Appl Mech Eng 376:113609
Dhal KG, Sasmal B, Das A, Ray S, Rai R (2023) A comprehensive survey on arithmetic optimization algorithm. Arch Comput Methods Eng 30(5):3379–3404
Moher D, Liberati A, Tetzlaff J, Altman DG, PRISMA Group* (2009) Preferred reporting items for systematic reviews and meta-analyses: the PRISMA statement. Ann Intern Med 151(4):264–269
Ranjan RK, Kumar V (2023) A systematic review on fruit fly optimization algorithm and its applications. Artif Intell Rev 56:13015–13069
Kaveh A, Hamedani KB (2022) Improved arithmetic optimization algorithm and its application to discrete structural optimization. Structures, vol 35. Elsevier, Amsterdam, pp 748–764
Agushaka JO, Ezugwu AE (2021) Advanced arithmetic optimization algorithm for solving mechanical engineering design problems. PLoS ONE 16(8):e0255703
Panneer Selvam AMD, Hussin FA, Ibrahim R, Bingi K (2022) Arithmetic-trigonometric optimization algorithm. Optimal fractional-order predictive PI controllers: for process control applications with additional filtering. Springer Nature Singapore, Singapore, pp 99–133
Zheng R, Jia H, Abualigah L, Liu Q, Wang S (2022) An improved arithmetic optimization algorithm with forced switching mechanism for global optimization problems. Math Biosci Eng 19(1):473–512
Chen M, Zhou Y, Luo Q (2022) An improved arithmetic optimization algorithm for numerical optimization problems. Mathematics 10(12):2152
Fang H, Fu X, Zeng Z, Zhong K, Liu S (2022) An improved arithmetic optimization algorithm and its application to determine the parameters of support vector machine. Mathematics 10(16):2875
Panga N, Sivaramakrishnan U, Abishek R, Bingi K, Chaudhary J (2021) An improved arithmetic optimization algorithm. In: 2021 IEEE Madras Section Conference (MASCON). IEEE, pp 1–6
Chauhan S, Vashishtha G (2021) Mutation-based arithmetic optimization algorithm for global optimization. In: 2021 International Conference on Intelligent Technologies (CONIT). IEEE, pp 1–6
Zhang J, Zhang G, Huang Y, Kong M (2022) A Novel enhanced arithmetic optimization algorithm for global optimization. IEEE Access 10:75040–75062
Kaveh A, Biabani Hamedani K (2022) Improved arithmetic optimization algorithm. Advanced Metaheuristic Algorithms and their applications in Structural optimization. Springer International Publishing, Cham, pp 323–362
Liu H, Zhang X, Zhang H, Cao Z (2023) An improved arithmetic optimization algorithm with hybrid elite pool strategies. Soft Comput. https://doi.org/10.1007/s00500-023-09153-1
Wang R, Liu Q (2022) Improved arithmetic optimization algorithm based on sigmoid function and Cauchy Gaussian fusion mutation. In: 2022 3rd International Conference on Big Data, Artificial Intelligence and Internet of Things Engineering (ICBAIE). IEEE, pp 589–594
Lin X, Li H, Jiang X, Gao Y, Wu J, Yang Y (2021) Improve exploration of arithmetic optimization algorithm by opposition-based learning. In: 2021 IEEE International Conference on Progress in Informatics and Computing (PIC). IEEE, pp 265–269
Izci D, Ekinci S, Eker E, Dündar A (2021) Improving arithmetic optimization algorithm through modified opposition-based learning mechanism. In: 2021 5th International Symposium on Multidisciplinary Studies and Innovative Technologies (ISMSIT). IEEE, pp 1–5
Devan P, Hussin FA, Ibrahim RB, Bingi K, Nagarajapandian M, Assaad M (2022) An arithmetic-trigonometric optimization algorithm with application for control of real-time pressure process plant. Sensors 22(2):617
Bansal P, Gehlot K, Singhal A, Gupta A (2022) Automatic detection of osteosarcoma based on integrated features and feature selection using binary arithmetic optimization algorithm. Multimed Tools Appl 81(6):8807–8834
Emine Baş, Yildizdan G (2022) A new binary arithmetic optimization algorithm for uncapacitated facility location problem. Research Square, PPR550516
Talpur N, Abdulkadir SJ, Akhir EAP, Hasan MH, Alhussian H, Abdullah MHA (2023) A novel bitwise arithmetic optimization algorithm for the rule base optimization of deep neuro-fuzzy system. J King Saud Univ-Comput Inform Sci 35(2):821–842
Li XD, Wang JS, Hao WK, Zhang M, Wang M (2022) Chaotic arithmetic optimization algorithm. Appl Intell 52:16718–16757
Aydemir SB (2022) A novel arithmetic optimization algorithm based on chaotic maps for global optimization. Evol Intel 1–16
Turgut MS, Turgut OE, Abualigah L (2022) Chaotic quasi-oppositional arithmetic optimization algorithm for thermo-economic design of a shell and tube condenser running with different refrigerant mixture pairs. Neural Comput Appl 34(10):8103–8135
Li XD, Wang JS, Hao WK, Song HM, Zhao XR (2023) Lorentz chaotic trigonometric function pedigree based arithmetic optimization algorithm. J Intell Fuzzy Syst 44(3):3527–3559
Zheng R, Jia H, Abualigah L, Liu Q, Wang S (2021) Deep ensemble of slime mold algorithm and arithmetic optimization algorithm for global optimization. Processes 9(10):1774
Mahajan S, Abualigah L, Pandit AK, Altalhi M (2022) Hybrid Aquila optimizer with arithmetic optimization algorithm for global optimization tasks. Soft Comput 26(10):4863–4881
Hu G, Zhong J, Du B, Wei G (2022) An enhanced hybrid arithmetic optimization algorithm for engineering applications. Comput Methods Appl Mech Eng 394:114901
Mahajan S, Abualigah L, Pandit AK (2022) Hybrid arithmetic optimization algorithm with hunger games search for global optimization. Multimedia Tools and Applications 81(20):28755–28778
Ibrahim RA, Abualigah L, Ewees AA, Al-Qaness MA, Yousri D, Alshathri S, Elaziz A (2021) An electric fish-based arithmetic optimization algorithm for feature selection. Entropy 23(9):1189
Zhang YJ, Yan YX, Zhao J, Gao ZM (2022) AOAAO: the hybrid algorithm of arithmetic optimization algorithm with aquila optimizer. IEEE Access 10:10907–10933
Peng L, Sun C, Wu W (2022) Effective arithmetic optimization algorithm with probabilistic search strategy for function optimization problems. Data Sci Manage 5(4):163–174
Yıldız BS, Kumar S, Panagant N, Mehta P, Sait SM, Yildiz AR, …, Mirjalili S (2023) A novel hybrid arithmetic optimization algorithm for solving constrained optimization problems. Knowl Based Syst 271:110554
ÇetınbaŞ İ, Tamyürek B, Demırtaş M (2022) The hybrid harris hawks optimizer-arithmetic optimization algorithm: a new hybrid algorithm for sizing optimization and design of microgrids. IEEE Access 10:19254–19283
Heming Jia, Yuxiang Liu, Qingxin Liu, Shuang Wang, Rong Zhe (2022) Hybrid algorithm of Slime Mould algorithm and arithmetic optimization algorithm based on random opposition-based learning. J Front Comput Sci Technol 16(5):1182
Ma S, Huang H, Wu Z (2021) The arithmetic optimization algorithm based-on particle energy and particle diffusion. In: 2021 International Conference on Wireless Communications and Smart Grid (ICWCSG). IEEE, pp 246–253
Emine BAŞ (2021) Hybrid the arithmetic optimization algorithm for constrained optimization problems. Selcuk Univ J Eng Sci Technol 9(3):713–734
Yang Y, Gao Y, Tan S, Zhao S, Wu J, Gao S, Wang YG (2022) An opposition learning and spiral modelling based arithmetic optimization algorithm for global continuous optimization problems. Eng Appl Artif Intell 113:104981
Liu H, Zhang X, Zhang H, Li C, Chen Z (2023) A reinforcement learning-based hybrid Aquila Optimizer and improved arithmetic optimization algorithm for global optimization. Expert Syst Appl 224:119898
Dhawale PG, Kamboj VK, Bath SK (2023) A Levy flight based strategy to improve the exploitation capability of arithmetic optimization algorithm for engineering global optimization problems. Trans Emerg Telecommun Technol 34(4):e4739
Zhang YJ, Wang YF, Yan YX, Zhao J, Gao ZM (2022) LMRAOA: an improved arithmetic optimization algorithm with multi-leader and high-speed jumping based on opposition-based learning solving engineering and numerical problems. Alexandria Eng J 61(12):12367–12403
Yao J, Sha Y, Chen Y, Zhao X (2022) A Novel ensemble of arithmetic optimization algorithm and Harris Hawks optimization for solving Industrial Engineering optimization problems. Machines 10(8):602
Liu Q, Li N, Jia H, Qi Q, Abualigah L, Liu Y (2022) A hybrid arithmetic optimization and golden sine algorithm for solving industrial engineering design problems. Mathematics 10(9):1567
Abualigah L, Altalhi M (2022) A novel generalized normal distribution arithmetic optimization algorithm for global optimization and data clustering problems. J Ambient Intell Humaniz Comput 1–29
Mohamed AA, Abdellatif AD, Alburaikan A, Khalifa HAEW, Elaziz MA, Abualigah L, AbdelMouty AM (2023) A novel hybrid arithmetic optimization algorithm and salp swarm algorithm for data placement in cloud computing. Soft Comput 27(9):5769–5780
Bacanin N, Budimirovic N, Venkatachalam K, Jassim HS, Zivkovic M, Askar SS, Abouhawwash M (2023) Quasi-reflection learning arithmetic optimization algorithm firefly search for feature selection. Heliyon 9(4):e15378
Liu L, Xu H, Wang B, Ke C (2023) Multi-strategy fusion of sine cosine and arithmetic hybrid optimization algorithm. Electronics 12(9):1961
Abdulsalami AO, Elaziz MA, Al Haj YA, Xiong S (2023) An improved arithmetic optimization algorithm with differential evolution and chaotic local search. International Conference on Artificial Intelligence Science and Applications (CAISA). Springer Nature Switzerland, Cham, pp 81–96
Ates A, Abualigah L, Abd Elaziz M (2022) Distribution function based-arithmetic optimization algorithm for global optimization and engineering applications. Research Square, PPR499019
Abualigah L, Diabat A (2023) Improved multi-core arithmetic optimization algorithm-based ensemble mutation for multidisciplinary applications. J Intell Manuf 34:1833–1874
Çelik E (2023) IEGQO-AOA: information-exchanged gaussian arithmetic optimization algorithm with quasi-opposition learning. Knowl Based Syst 260:110169
Hamad MW, Mitras BA (2023) Three-hybrid algorithm between student psychology optimization algorithm and arithmetic optimization algorithm with improved conjugate gradient algorithm to solve unconstrained optimization problems. In: AIP Conference Proceedings (Vol.2591, No. 1). AIP Publishing LLC, Melville, p 050024
Erdemir E (2023) Hybrid algorithm proposal for optimizing benchmarking problems: salp swarm algorithm enhanced by arithmetic optimization algorithm. Int J Ind Eng Comput 14(2):309–322
Chauhan S, Vashishtha G, Kumar A (2022) A symbiosis of arithmetic optimizer with slime mould algorithm for improving global optimization and conventional design problem. J Supercomputing 78(5):6234–6274
Hijjawi M, Alshinwan M, Khashan OA, Alshdaifat M, Almanaseer W, Alomoush W, Abualigah L (2023) Accelerated arithmetic optimization algorithm by cuckoo search for solving Engineering design problems. Processes 11(5):1380
Karthik E, Sethukarasi T (2022) A centered convolutional restricted boltzmann machine optimized by hybrid atom search arithmetic optimization algorithm for sentimental analysis. Neural Process Lett 54(5):4123–4151
Mahdad B (2023) Novel adaptive sine cosine arithmetic optimization algorithm for optimal automation control of DG units and STATCOM devices. Smart Sci 11(1):16–37
Peng L, Wang L, Wang S (2023) Hybrid arithmetic optimization algorithm for a new multi-warehouse joint replenishment and delivery problem under trade credit. Neural Comput Appl 35(10):7561–7580
Abualigah L, Ewees AA, Al-qaness MA, Elaziz MA, Yousri D, Ibrahim RA, Altalhi M (2022) Boosting arithmetic optimization algorithm by sine cosine algorithm and levy flight distribution for solving engineering optimization problems. Neural Comput Appl 34(11):8823–8852
Gürses D, Bureerat S, Sait SM, Yıldız AR (2021) 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 63(5):448–452
Wang RB, Wang WF, Xu L, Pan JS, Chu SC (2021) An adaptive parallel arithmetic optimization algorithm for robot path planning. J Adv Transp 2021:1–22
AlJame M, Alnoori A, Alfailakawi MG, Ahmad I (2023) A spark-based parallel implementation of arithmetic optimization algorithm. Int J Appl Metaheuristic Comput (IJAMC) 14(1):1–27
Khodadadi N, Abualigah L, El-Kenawy ESM, Snasel V, Mirjalili S (2022) An archive-based multi-objective arithmetic optimization algorithm for solving Industrial Engineering problems. IEEE Access 10:106673–106698
Premkumar M, Jangir P, Kumar BS, Sowmya R, Alhelou HH, Abualigah L, Mirjalili S (2021) A new arithmetic optimization algorithm for solving real-world multiobjective CEC-2021 constrained optimization problems: diversity analysis and validations. IEEE Access 9:84263–84295
Pashaei E, Pashaei E (2022) Hybrid binary arithmetic optimization algorithm with simulated annealing for feature selection in high-dimensional biomedical data. J Supercomput 78(13):15598–15637
Mahajan S, Abualigah L, Pandit AK, Nasar A, Alkhazaleh MR, Altalhi M (2022) Fusion of modern meta-heuristic optimization methods using arithmetic optimization algorithm for global optimization tasks. Soft Comput 26(14):6749–6763
Liu Z, Li M, Pang G, Song H, Yu Q, Zhang H (2022) A multi-strategy improved arithmetic optimization algorithm. Symmetry 14(5):1011
Yang Y, Qian C, Li H, Gao Y, Wu J, Liu CJ, Zhao S (2022) An efficient DBSCAN optimized by arithmetic optimization algorithm with opposition-based learning. J Supercomput 78(18):19566–19604
Abd Elaziz M, Abualigah L, Ibrahim RA, Attiya I (2021) IoT workflow scheduling using intelligent arithmetic optimization algorithm in fog computing. Comput Intell Neurosci 2021:1–14
Wang RB, Yin S, Wang WF, An ZW, Xu L (2021) An improved arithmetic optimization algorithm with a strategy balancing exploration and exploitation. In: Advances in smart vehicular technology, transportation, communication and Applications: Proceedings of VTCA 2021. Springer Singapore, Singapore, pp 283–292
Agushaka JO, Ezugwu AE (2021) Evaluation of several initialization methods on arithmetic optimization algorithm performance. J Intell Syst 31(1):70–94
Montano J, Garzón OD, Muñoz AAR, Grisales-Noreña LF, Montoya OD (2022) Application of the arithmetic optimization algorithm to solve the optimal power flow problem in direct current networks. Results Eng 16:100654
Abualigah L, Almotairi KH, Al-qaness MA, Ewees AA, Yousri D, Abd Elaziz M, Nadimi-Shahraki MH (2022) Efficient text document clustering approach using multi-search arithmetic optimization algorithm. Knowl Based Syst 248:108833
Abualigah L, Almotairi KH, Elaziz A, Shehab M, Altalhi M (2022) Enhanced flow direction arithmetic optimization algorithm for mathematical optimization problems with applications of data clustering. Eng Anal Bound Elem 138:13–29
Abualigah L, Mirjalili S, Otair M, Sumari P, Abd Elaziz M, Jia H, Gandomi AH (2022) Boosting moth-flame optimization algorithm by arithmetic optimization algorithm for data clustering. Handbook of Moth-Flame Optimization Algorithm. CRC Press, Boca Raton, pp 209–237
Abualigah L, Almotairi KH (2022) Dynamic evolutionary data and text document clustering approach using improved Aquila optimizer based arithmetic optimization algorithm and differential evolution. Neural Comput Appl 34(23):20939–20971
Abualigah L, Elaziz MA, Yousri D, Al-qaness MA, Ewees AA, Zitar RA (2022) Augmented arithmetic optimization algorithm using opposite-based learning and lévy flight distribution for global optimization and data clustering. J Intell Manuf 34:3523–3561
Abd Elaziz M, Ouadfel S, El-Latif AA, Ali Ibrahim R (2022) Feature selection based on modified bio-inspired atomic orbital search using arithmetic optimization and opposite-based learning. Cogn Comput 14:2274–2295
Ewees AA, Al-qaness MA, Abualigah L, Oliva D, Algamal ZY, Anter AM, ... Abd Elaziz M (2021) Boosting arithmetic optimization algorithm with genetic algorithm operators for feature selection: case study on cox proportional hazards model. Mathematics 9(18):2321
Hao WK, Wang JS, Li XD, Wang M, Zhang M (2022) Arithmetic optimization algorithm based on elementary function disturbance for solving economic load dispatch problem in power system. Appl Intell 52(10):11846–11872
Hao WK, Wang JS, Li XD, Song HM, Bao YY (2022) Probability distribution arithmetic optimization algorithm based on variable order penalty functions to solve combined economic emission dispatch problem. Appl Energy 316:119061
Aribowo W, Rahmadian R, Widyartono M, Hermawan AC, Wardani AL, Kartini UT (2021) Implementation of the arithmetic optimization algorithm for economic load dispatch. In: 2021 3rd International Conference on Research and Academic Community Services (ICRACOS). IEEE, pp 12–16
Abdel-mawgoud H, Kamel S, Shahinzadeh H (2022) Strategic planning for incorporating inverter-based wind turbine in distribution networks using arithmetic optimization algorithm. In: 2022 9th Iranian Conference on Renewable Energy & Distributed Generation (ICREDG), pp 1–7
Rathore A, Kumar A, Shukla SK, Patidar NP (2023) Optimal allocation of hybrid renewable energy system in distribution network using arithmetic optimization algorithm. Wind Eng 47(5):935–946
Elkasem AH, Kamel S, Hassan MH, Khamies M, Ahmed EM (2022) An Eagle strategy arithmetic optimization algorithm for frequency Stability Enhancement considering high renewable power penetration and time-varying load. Mathematics 10(6):854
Zafar MH, Khan NM, Moosavi SKR, Mansoor M, Mirza AF, Akhtar N (2022) Artificial Neural Network (ANN) trained by a Novel Arithmetic Optimization Algorithm (AOA) for Short Term Forecasting of Wind Power. In: Intelligent Technologies and Applications: 4th International Conference, INTAP 2021, Grimstad, Norway, October 11–13, 2021, Revised Selected Papers. Springer International Publishing, Cham, pp 197–209
Irshad K, Islam N, Gari AA, Algarni S, Alqahtani T, Imteyaz B (2023) Arithmetic optimization with hybrid deep learning algorithm based solar radiation prediction model. Sustain Energy Technol Assess 57:103165
Sharma A, Khan RA, Sharma A, Kashyap D, Rajput S (2021) A novel opposition-based arithmetic optimization algorithm for parameter extraction of PEM fuel cell. Electronics 10(22):2834
Xu YP, Tan JW, Zhu DJ, Ouyang P, Taheri B (2021) Model identification of the proton exchange membrane fuel cells by extreme learning machine and a developed version of arithmetic optimization algorithm. Energy Rep 7:2332–2342
Izci D, Ekinci S, Eker E, Abualigah L (2022) Opposition-based arithmetic optimization algorithm with varying acceleration coefficient for function optimization and control of FES system. In: Proceedings of International Joint Conference on Advances in Computational Intelligence: IJCACI 2021. Springer Nature Singapore, Singapore, pp 283–293
Ekinci S, Izci D, Al Nasar MR, Zitar A, Abualigah L (2022) Logarithmic spiral search based arithmetic optimization algorithm with selective mechanism and its application to functional electrical stimulation system control. Soft Comput 26(22):12257–12269
Elkasem AH, Khamies M, Magdy G, Taha I, Kamel S (2021) Frequency stability of AC/DC interconnected power systems with wind energy using arithmetic optimization algorithm-based fuzzy-PID controller. Sustainability 13(21):12095
Issa M (2022) Parameter tuning of PID Controller based on arithmetic optimization algorithm in IOT Systems. Integrating Meta-Heuristics and Machine Learning for Real-World optimization problems. Springer International Publishing, Cham, pp 399–417
Ghith ES, Tolba FAA (2023) Tuning PID Controllers based on hybrid arithmetic optimization algorithm and Artificial Gorilla troop optimization for Micro-Robotics Systems. IEEE Access 11:27138–27154
Izci D, Ekinci S, Kayri M, Eker E (2022) A novel improved arithmetic optimization algorithm for optimal design of PID controlled and Bode’s ideal transfer function based automobile cruise control system. Evol Syst 13(3):453–468
Issa M (2023) Enhanced arithmetic optimization algorithm for parameter estimation of PID controller. Arab J Sci Eng 48(2):2191–2205
Zhang R, Yang B, Chen N (2022) Arithmetic optimization algorithm based MPPT technique for centralized TEG systems under different temperature gradients. Energy Rep 8:2424–2433
Izci D, Ekinci S, Çetin H (2022) Arithmetic optimization algorithm based controller design for automatic voltage regulator system. In: 2022 Innovations in Intelligent Systems and Applications Conference (ASYU). IEEE, pp 1–5
Guo H, Sun Z, Sun H, Ebrahimian H (2021) Optimal model of the combined cooling, heating, and power system by improved arithmetic optimization algorithm. In: Energy sources, Part A: recovery, utilization, and environmental effects, pp 1–23
Davut IZCI (2022) A novel modified arithmetic optimization algorithm for power system stabilizer design. Sigma J Eng Nat Sci 40(3):529–541
Zhou Y, Ge F, Dai G, Yang Q, Zhu H, Youssefi N (2022) Modified arithmetic optimization algorithm: a New Approach for Optimum modeling of the CCHP system. J Electr Eng Technol 17(6):3223–3240
Ahmadi B, Younesi S, Ceylan O, Ozdemir A (2021) The arithmetic optimization algorithm for optimal energy resource planning. In: 2021 56th International Universities Power Engineering Conference (UPEC). IEEE, pp 1–6
Ahanch M, McCann R (2021) Implementation of CVR in distribution networks by optimal coordination of BESS and PV inverters using arithmetic optimization algorithm. In: 2021 North American Power Symposium (NAPS). IEEE, pp 1–6
Dey I, Roy PK (2023) Simultaneous network reconfiguration and DG allocation in radial distribution networks using arithmetic optimization algorithm. Int J Numer Model Electron Netw Devices Fields e3105:1–14
Anjum ZM, Said DM, Hassan MY, Leghari ZH, Sahar G (2022) Parallel operated hybrid arithmetic-salp swarm optimizer for optimal allocation of multiple distributed generation units in distribution networks. PLoS ONE 17(4):e0264958
Zellagui M, Lasmari A, Settoul S, El-Bayeh CZ, Chenni R, Belbachir N (2021) Arithmetic optimization algorithm for optimal installation of DSTATCOM into distribution system based on various voltage stability indices. In: 2021 9th International Conference on Modern Power Systems (MPS). IEEE, pp 1–6
Debnath K, Dhabal S, Venkateswaran P (2022) Design of high-pass FIR filter using arithmetic optimization algorithm and its FPGA implementation. In: 2022 IEEE Region 10 Symposium (TENSYMP). IEEE, pp 1–6
Thota R, Sinha N (2022) An enhanced arithmetic optimization algorithm for global maximum power point tracking of photovoltaic systems under dynamic irradiance patterns. Energy Sour Part A Recover Utilization Environ Eff 44(4):10116–10134
Montoya OD, Giral-Ramírez DA, Hernández JC (2022) Efficient integration of PV sources in distribution networks to reduce Annual Investment and operating costs using the modified arithmetic optimization algorithm. Electronics 11(11):1680
Abbassi A, Mehrez RB, Touaiti B, Abualigah L, Touti E (2022) Parameterization of photovoltaic solar cell double-diode model based on improved arithmetic optimization algorithm. Optik 253:168600
Mohamed MAE, Ahmed N, Eladly Metwally M (2023) Arithmetic optimization algorithm based maximum power point tracking for grid-connected photovoltaic system. Sci Rep 13(1):5961
Mahmoud MF, Mohamed AT, Swief RA, Said LA, Radwan AG (2022) Arithmetic optimization approach for parameters identification of different PV diode models with FOPI-MPPT. Ain Shams Engineering Journal 13(3):101612
Abdel-Mawgoud H, Fathy A, Kamel S (2022) An effective hybrid approach based on arithmetic optimization algorithm and sine cosine algorithm for integrating battery energy storage system into distribution networks. J Energy Storage 49:104154
Kharrich M, Abualigah L, Kamel S, AbdEl-Sattar H, Tostado-Véliz M (2022) An improved arithmetic optimization algorithm for design of a microgrid with energy storage system: case study of El Kharga Oasis, Egypt. J Energy Storage 51:104343
Khadanga RK, Das D, Kumar A, Panda S (2023) Sine augmented scaled arithmetic optimization algorithm for frequency regulation of a virtual inertia control based microgrid. ISA Trans 138:534–545
Aslan M, Beşkirli M (2022) Realization of Turkey’s energy demand forecast with the improved arithmetic optimization algorithm. Energy Rep 8:18–32
Patra DK, Si T, Mondal S, Mukherjee P (2022) Breast DCE-MRI segmentation for lesion detection by multilevel thresholding using arithmetic optimization algorithm. In: Evolution in Computational Intelligence: Proceedings of the 9th International Conference on Frontiers in Intelligent Computing: Theory and Applications (FICTA 2021). Springer Nature Singapore, Singapore, pp 327–340
Abualigah L, Diabat A, Sumari P, Gandomi AH (2021) A novel evolutionary arithmetic optimization algorithm for multilevel thresholding segmentation of covid-19 ct images. Processes 9(7):1155
Singh S, Singh H, Mittal N, Hussien AG, Sroubek F (2022) A feature level image fusion for night-vision context enhancement using arithmetic optimization algorithm based image segmentation. Expert Syst Appl 209:118272
Das A, Namtirtha A, Dutta A (2023) Lévy–Cauchy arithmetic optimization algorithm combined with rough K-means for image segmentation. Appl Soft Comput 140:110268
Thiyagarajan SK, Murugan K (2023) Arithmetic optimization-based K means algorithm for segmentation of ischemic stroke lesion. Soft Comput 1–13
Pashaei E, Pashaei E (2023) Gaussian quantum arithmetic optimization-based histogram equalization for medical image enhancement. Multimed Tools Appl 82:34725–34748
Liu X, Zhou Z (2022) Illumination estimation via random vector functional link based on improved arithmetic optimization algorithm. Color Res Appl 47(3):644–656
Seifi Majdar R, Ghassemian H (2022) Spectral-spatial classification fusion for hyperspectral images in the probabilistic framework via arithmetic optimization Algorithm. Int J Image Data Fusion 13(3):262–277
Kumar T, Ponnusamy R (2023) Arithmetic optimization algorithm with deep learning-based medical X-ray image classification model. In: Inventive Computation and Information Technologies: Proceedings of ICICIT 2022. Springer Nature Singapore, Singapore, pp 563–578
Rajagopal R, Karthick R, Meenalochini P, Kalaichelvi T (2023) Deep Convolutional spiking neural network optimized with arithmetic optimization algorithm for lung disease detection using chest X-ray images. Biomed Signal Process Control 79:104197
Zivkovic M, Bacanin N, Antonijevic M, Nikolic B, Kvascev G, Marjanovic M, Savanovic N (2022) Hybrid CNN and XGBoost Model tuned by modified arithmetic optimization algorithm for COVID-19 early diagnostics from X-ray images. Electronics 11(22):3798
Ramya VJ, Lakshmi S (2021) Enhanced deep CNN based arithmetic optimization algorithm for acute myelogenous leukemia detection. Ann Rom Soc Cell Biol 7333–7352
Malibari AA, Al-Wesabi FN, Obayya M, Alkhonaini MA, Hamza MA, Motwakel A, Zamani AS (2022) Arithmetic optimization with retinanet model for motor imagery classification on brain computer interface. J Healthc Eng 2022:3987494
Alweshah M (2022) Hybridization of arithmetic optimization with great deluge algorithms for feature selection problems in medical diagnosis. Jordanian J Comput Inform Technol 8(2):126–140
Zheng N, Zhang G, Zhang Y, Sheykhahmad FR (2023) Brain tumor diagnosis based on Zernike moments and support vector machine optimized by chaotic arithmetic optimization algorithm. Biomed Signal Process Control 82:104543
Ragab M, Alganmi N (2022) Arithmetic optimization algorithm with explainable Artificial intelligence technique for Biomedical Signal Analysis. Biomedical Data Analysis and Processing using Explainable (XAI) and responsive Artificial Intelligence (RAI). Springer Singapore, Singapore, pp 123–137
Deepa N, Chokkalingam SP (2022) Optimization of VGG16 utilizing the arithmetic optimization algorithm for early detection of Alzheimer’s disease. Biomed Signal Process Control 74:103455
Dahou A, Al-qaness MA, Abd Elaziz M, Helmi A (2022) Human activity recognition in IoHT applications using arithmetic optimization algorithm and deep learning. Measurement 199:111445
Xie L, Wang S, Zhu D, Hu G, Zhou C (2023) DNA sequence optimization design of arithmetic optimization algorithm based on billiard hitting strategy. Computational Life Sciences, Interdisciplinary Sciences 15:231–248
Khatir S, Tiachacht S, Le Thanh C, Ghandourah E, Mirjalili S, Wahab MA (2021) An improved Artificial neural network using arithmetic optimization algorithm for damage assessment in FGM composite plates. Compos Struct 273:114287
Khodadadi N, Snasel V, Mirjalili S (2022) Dynamic arithmetic optimization algorithm for truss optimization under natural frequency constraints. IEEE Access 10:16188–16208
Kaveh A, Biabani K, Kamalinejad M (2021) Improved arithmetic optimization algorithm for structural optimization with frequency constraints. Int J Optim Civil Eng 11(4):663–693
Do DT, Nguyen TT, Nguyen QH, Bui TQ (2022) A hybrid arithmetic optimization algorithm and differential evolution for optimization of truss structures subjected to frequency constraints. J Sci Technol Civil Eng (STCE)-HUCE 16(2):22–37
Ran TA, Huanlin ZH, Zeng ME, Xiaomeng YA (2022) Optimization design of holding poles based on the response surface methodology and the improved arithmetic optimization algorithm. 应用数学和力学 43(10):1113–1122
Shi X, Yu X, Esmaeili-Falak M (2023) Improved arithmetic optimization algorithm and its application to carbon fiber reinforced polymer-steel bond strength estimation. Compos Struct 306:116599
Azizi M, Talatahari S (2022) Improved arithmetic optimization algorithm for design optimization of fuzzy controllers in steel building structures with nonlinear behavior considering near fault ground motion effects. Artif Intell Rev 55(5):4041–4075
Zhang M, Yang J, Ma R, Du Q, Rodriguez D (2022) Prediction of small-scale piles by considering lateral deflection based on Elman neural network—improved arithmetic optimizer algorithm. ISA Trans 127:473–486
Rajendran S, Devi VK, Diaz M (2022) Digital twin based identification of degradation parameters of DC-DC converters using an arithmetic optimization algorithm. In: 2022 3rd International Conference for Emerging Technology (INCET). IEEE, pp 1–5
Manzoor A, Judge MA, Islam SU, Neggaz N, Abulaigh L, Ahmad I (2023) AHHO: arithmetic Harris Hawks optimization algorithm for demand side management in smart grids. Discover Internet of Things 3(1):3
Stankovic M, Gavrilovic J, Jovanovic D, Zivkovic M, Antonijevic M, Bacanin N, Stankovic M (2022) Tuning multi-layer perceptron by hybridized arithmetic optimization algorithm for healthcare 4.0. Procedia Comput Sci 215:51–60
Ragab M, Sabir MFS (2022) Arithmetic optimization with deep learning-enabled anomaly detection in smart city. Comput Mater Contin 73:381–395
Bahmanyar D, Razmjooy N, Mirjalili S (2022) Multi-objective scheduling of IoT-enabled smart homes for energy management based on arithmetic optimization algorithm: a Node-RED and NodeMCU module-based technique. Knowl Based Syst 247:108762
Milutinovic N, Gajevic M, Krstovic J, Petrovic A, Bacanin N, Antonijevic M (2022) Performance of arithmetic optimization algorithm for ELM tuning applied to IoT security. In: 2022 30th Telecommunications Forum (TELFOR). IEEE, pp 1–4
Sravanthi G, Moparthi NR (2023) Dual interactive Wasserstein Generative Adversarial Network optimized with arithmetic optimization algorithm-based job scheduling in cloud-based IoT. Clust Comput 1–14
Mohamed AA, Abdellatif AD, Alburaikan A, Khalifa H, Elaziz MA, Abualigah L, AbdelMouty AM (2023) A novel hybrid arithmetic optimization algorithm and Salp Swarm algorithm for data placement in cloud computing. Soft Comput 27:5769–5780
Masdari M, Majidzadeh K, Doustsadigh E, Babazadeh A, Asemi R (2022) Energy-aware computation offloading in mobile edge. Computing using quantum-based arithmetic optimization algorithm. Research Square, rs-2221212
Aslan S, Kızıloluk S, Sert E (2023) TSA-CNN-AOA: Twitter sentiment analysis using CNN optimized via arithmetic optimization algorithm. Neural Comput Appl 35:10311–10328
Bačanin Džakula N (2022) Arithmetic optimization algorithm for spam detection. In: Sinteza 2022-International Scientific Conference on Information Technology and Data Related Research. Singidunum University, pp 406–413
Zivkovic M, Stoean C, Petrovic A, Bacanin N, Strumberger I, Zivkovic T (2021) A novel method for covid-19 pandemic information fake news detection based on the arithmetic optimization algorithm. In: 2021 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC). IEEE, pp 259–266
Yin D, Wang Y, Huang Y (2023) Predicting soil moisture content of tea plantation using support vector machine optimized by arithmetic optimization algorithm. J Algorithms Comput Technol 17:17483026221151198
Prabu M, Chelliah BJ (2023) An intelligent approach using boosted support vector machine based arithmetic optimization algorithm for accurate detection of plant leaf disease. Pattern Anal Appl 26(1):367–379
Özmen H, Ekinci S, Izci D (2023) Boosted arithmetic optimization algorithm with elite opposition-based pattern search mechanism and its promise to design microstrip patch antenna for WLAN and WiMAX. Int J Model Simul 1–16
Haridasan V, Muthukumaran K, Hariharanath K (2023) Arithmetic optimization with deep learning enabled churn prediction model for telecommunication industries. Intell Autom Soft Comput 35(3):3531–3544
Maleknasab Ardakani M, Tabarzad MA, Shayegan MA (2022) Detecting sybil attacks in vehicular ad hoc networks using fuzzy logic and arithmetic optimization algorithm. J Supercomput 78(14):16303–16335
Bhat SJ, KV S (2022) A localization and deployment model for wireless sensor networks using arithmetic optimization algorithm. Peer-to-Peer Netw Appl 15(3):1473–1485
Kong X, Qian Y, Xu B (2023) Coverage optimization in wireless sensor networks with a modified arithmetic optimization algorithm. In: International Conference on Computer Application and Information Security (ICCAIS 2022) (Vol. 12609). SPIE, pp 281–286
Zitar RA, Abualigah L, Barbaresco F, Seghrouchni AE (2023) Modified arithmetic optimization algorithm for drones measurements and tracks assignment problem. Neural Comput Appl 35(14):10421–10447
Gul F, Mir I, Abualigah L, Sumari P (2021) Multi-robot space exploration: an augmented arithmetic approach. IEEE Access 9:107738–107750
Chen K, Yao H, Han Z (2022) Arithmetic optimization algorithm to optimize support vector machine for chip defect Identification. In: 2022 28th International Conference on Mechatronics and Machine Vision in Practice (M2VIP). IEEE, pp 1–5
Liu S, Liu Y, Chang Q, Li L, Man J, Liu K, Luo J (2022) Intelligent diagnosis of bogie traction seat based on PCA-OVO and SVM optimized by modified arithmetic optimization algorithm. Math Probl Eng 2022:1221186
Tunç A, Taşdemir S (2022) Fuzzy based weighted, Arithmetic Optimization Algorithm (AOA) for cash management optimization on Automatic Teller Machines (ATM). In: Intelligent and Fuzzy Systems: Digital Acceleration and The New Normal-Proceedings of the INFUS 2022 Conference, Volume 1. Springer International Publishing, Cham, pp 287–294
Krishna MM, Majhi SK (2022) Developing arithmetic optimization algorithm for travelling salesman problem. In: Advances in Intelligent Computing and Communication: Proceedings of ICAC 2021. Springer Nature Singapore, Singapore, pp 217–226
Stankovic M, Jovanovic L, Bacanin N, Zivkovic M, Antonijevic M, Bisevac P (2023) Tuned long short-term memory model for ethereum price forecasting through an arithmetic optimization algorithm. In: Innovations in Bio-Inspired Computing and Applications: Proceedings of the 13th International Conference on Innovations in Bio-Inspired Computing and Applications (IBICA 2022) Held During December 15–17, 2022. Springer Nature Switzerland, Cham, pp 327–337
Mi X, Luo Q, Wei Y, Zhou Y, Huang H (2023) Arithmetic optimization algorithm with mathematical operator for spherical minimum spanning tree. Res Square. https://doi.org/10.21203/rs.3.rs-2876027/v1
Zhang Q, Hu D, Tang C, Xie J (2022) A sparse recovery Algorithm based on arithmetic optimization. Electronics 12(1):162
Zhang F, Shi L, Li L, Zhou Y, Tian L, Cui X, Gao Y (2022) Nondestructive detection for adulteration of panax notoginseng powder based on hyperspectral imaging combined with arithmetic optimization algorithm-support vector regression. J Food Process Eng 45(9):e14096
Singh S, Ashok A, Rawat TK (2023) Optimal Volterra-based nonlinear system identification using arithmetic optimization algorithm assisted with Kalman filter. Evol Syst 14(1):117–139
Almalawi A, Khan AI, Alsolami F, Alkhathlan A, Fahad A, Irshad K, Qaiyum S (2022) Arithmetic optimization algorithm with deep learning enabled airborne particle-bound metals size prediction model. Chemosphere 303:134960
Wang R, Liu H, Yang Q, Du H (2023) A new conformable fractional-order time-delay grey bernoulli model with the arithmetic optimization algorithm and its application in rural regional economy. J Math 2023:2017167
Madugula MK, Majhi SK, Panda N (2022) An efficient arithmetic optimization algorithm for solving subset-sum problem. In: 2022 International Conference on Connected Systems & Intelligence (CSI). IEEE, pp 1–7
Guddati RSC, Dhanarasi G, Battula K (2022) Optimal design of Riesz fractional order digital differentiator using arithmetic optimization algorithm for QRS complex detection. In: 2022 4th International Conference on Circuits, Control, Communication and Computing (I4C). IEEE, pp 259–265
Ranjan M, Shankar R (2022) LFC of a deregulated power system using opposition based novel arithmetic optimization algorithm based fraction order cascade controller. In: Smart Technologies for Power and Green Energy: Proceedings of STPGE 2022. Springer Nature Singapore, Singapore, pp 93–105
Ranjan M, Shankar R (2022) A novel arithmetic optimization algorithm-based 2DOF tilted-integral-derivative controller for restructured LFC. In: Smart Energy and Advancement in Power Technologies: Select Proceedings of ICSEAPT 2021, Volume 2. Springer Nature Singapore, Singapore, pp 513–525
Shirishti S, Gupta AR (2022) DG allocation using arithmetic optimization algorithm in radial and mesh distribution system. In: 2022 Second International Conference on Power, Control and Computing Technologies (ICPC2T). IEEE, pp 1–6
Golla NK, Sudabattula SK, Suresh V (2022) Optimal placement of charging station and distributed generator along with scheduling in distribution system using arithmetic optimization algorithm. Int J Renew Energy Res (IJRER) 12(2):970–980
Ridha HM, Hizam H, Mirjalili S, Othman ML, Ya’acob ME, Ahmadipour M (2022) Parameter extraction of single, double, and three diodes photovoltaic model based on guaranteed convergence arithmetic optimization algorithm and modified third order Newton Raphson methods. Renew Sustain Energy Rev 162:112436
Agushaka JO, Ezugwu AE (2022) Influence of probability distribution initialization methods on the performance of advanced arithmetic optimization algorithm with application to unrelated parallel machine scheduling problem. Concurr Comput: Pract Exp 34(22):e6871
Gölcük İ, Ozsoydan FB, Durmaz ED (2023) An improved arithmetic optimization algorithm for training feedforward neural networks under dynamic environments. Knowl Based Syst 263:110274
Nurnajmin QA, Pebrianti D, Abas MF, Bayuaji L (2023) Automated-tuned hyper-parameter deep neural network by using arithmetic optimization algorithm for Lorenz chaotic system. Int J Electr Comput Eng 13(2):2167
Ann NQ, Pebrianti D, Abas MF, Bayuaji L (2023) Automated-tuned hyper-parameter deep neural network by using arithmetic optimization algorithm for Lorenz chaotic system. Int J Electr Comput Eng 13(2):2167–2176
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Kumar, V. Advancements in arithmetic optimization algorithm: theoretical foundations, variants, and applications. Multimed Tools Appl 83, 37621–37664 (2024). https://doi.org/10.1007/s11042-023-17084-0
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DOI: https://doi.org/10.1007/s11042-023-17084-0