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 .

这项工作提出了一种称为算术优化算法（AOA）的新元启发式方法，该方法利用了数学中主要算术运算符的分布行为，其中包括（乘法（$\mathrm{中号}$），部门（$d$），减法（$\mathrm{小号}$）和加法（$\mathrm{一种}$））。对AOA进行数学建模并实施以在广泛的搜索空间中执行优化过程。对AOA的性能进行了29个基准测试功能和一些实际工程设计问题的检验，以证明其适用性。已通过不同的方案评估了所提出的AOA的性能，收敛行为和计算复杂性的分析。实验结果表明，与其他11种著名的优化算法相比，AOA在解决具有挑战性的优化问题方面提供了非常有希望的结果。AOA的源代码可在和公开获得。