A Novel Numerical Integration Method Based on Artificial Bee Colony Algorithm

Juan Xie, Jianfeng Qiu
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Abstract

An new swarm intelligence algorithm based on the behavior of honeybee swarms has been proposed for some years, namely, Artificial Bee Colony(ABC). In this work, ABC is used for optimizing a set of split in a given integration interval by simulating the foraging activities of bees and reflecting the changing trends of the integrand. At the same time, this work also compares the performance of ABC algorithm with that of Trapezoidal, Simpson, Differential Evolution(DE), particle swarm optimization(PSO) for numerical integration. The simulation results show that the mentioned algorithm for numerical integration outperforms the other algorithm.
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一种基于人工蜂群算法的数值积分方法
近年来,人们提出了一种基于蜂群行为的群体智能算法,即人工蜂群算法(Artificial Bee Colony, ABC)。在本研究中,通过模拟蜜蜂的觅食活动并反映被积体的变化趋势,采用ABC方法在给定的积分区间内对一组分裂进行优化。同时,本文还将ABC算法与梯形、辛普森、差分进化(DE)、粒子群优化(PSO)算法在数值积分中的性能进行了比较。仿真结果表明,该算法在数值积分方面优于其他算法。
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