The arithmetic optimization algorithm. This work proposes a new meta-heuristic method called Arithmetic Optimization Algorithm (AOA) that utilizes the distribution behavior of the main arithmetic operators in mathematics including (Multiplication ((M)), Division ((D)), Subtraction ((S)), and Addition ((A))). AOA is mathematically modeled and implemented to perform the optimization processes in a wide range of search spaces. The performance of AOA is checked on twenty-nine benchmark functions and several real-world engineering design problems to showcase its applicability. The analysis of performance, convergence behaviors, and the computational complexity of the proposed AOA have been evaluated by different scenarios. Experimental results show that the AOA provides very promising results in solving challenging optimization problems compared with eleven other well-known optimization algorithms. Source codes of AOA are publicly available at and .

References in zbMATH (referenced in 11 articles , 1 standard article )

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  1. Abualigah, Laith; Almotairi, Khaled H.; Elaziz, Mohamed Abd; Shehab, Mohammad; Altalhi, Maryam: Enhanced flow direction arithmetic optimization algorithm for mathematical optimization problems with applications of data clustering (2022)
  2. Agushaka, Jeffrey O.; Ezugwu, Absalom E.; Abualigah, Laith: Dwarf mongoose optimization algorithm (2022)
  3. Hu, Gang; Zhong, Jingyu; Du, Bo; Wei, Guo: An enhanced hybrid arithmetic optimization algorithm for engineering applications (2022)
  4. Kutlu Onay, Funda; Aydemir, Salih Berkan: Chaotic hunger games search optimization algorithm for global optimization and engineering problems (2022)
  5. Örnek, Bülent Nafi; Aydemir, Salih Berkan; Düzenli, Timur; Özak, Bilal: A novel version of slime mould algorithm for global optimization and real world engineering problems. Enhanced slime mould algorithm (2022)
  6. Yin, Shihong; Luo, Qifang; Du, Yanlian; Zhou, Yongquan: DTSMA: dominant swarm with adaptive T-distribution mutation-based slime mould algorithm (2022)
  7. Zamani, Hoda; Nadimi-Shahraki, Mohammad H.; Gandomi, Amir H.: Starling murmuration optimizer: a novel bio-inspired algorithm for global and engineering optimization (2022)
  8. Zheng, Rong; Jia, Heming; Abualigah, Laith; Liu, Qingxin; Wang, Shuang: An improved arithmetic optimization algorithm with forced switching mechanism for global optimization problems (2022)
  9. Zheng, Rong; Jia, Heming; Abualigah, Laith; Wang, Shuang; Wu, Di: An improved remora optimization algorithm with autonomous foraging mechanism for global optimization problems (2022)
  10. Abualigah, Laith; Diabat, Ali; Mirjalili, Seyedali; Abd Elaziz, Mohamed; Gandomi, Amir H.: The arithmetic optimization algorithm (2021)
  11. Zhong, Keyu; Zhou, Guo; Deng, Wu; Zhou, Yongquan; Luo, Qifang: MOMPA: multi-objective marine predator algorithm (2021)