郭德龍+羅曉賓

【摘 要】本文針對(duì)傳統(tǒng)積分方法，要求被積函數(shù)的有較強(qiáng)性質(zhì)并且求解精度低的不足，提出了一種基于改進(jìn)型人工螢火蟲(chóng)群優(yōu)化算法求數(shù)值積分的新方法。該方法首先在積分區(qū)間上隨機(jī)產(chǎn)生積分節(jié)點(diǎn)，然后通過(guò)改進(jìn)型人工螢火蟲(chóng)群優(yōu)化算法優(yōu)化節(jié)點(diǎn)位置，再累積求和，得出數(shù)值積分。實(shí)驗(yàn)仿真表明，與其他方法相比，具有收斂速度快、精確度高等優(yōu)點(diǎn)。

【關(guān)鍵詞】螢火蟲(chóng)群算法；優(yōu)化；改進(jìn)型；數(shù)值積分

【Abstract】This paper proposes a new method of numerical integration based on a modified glowworm swarm optimization algorithm. Firstly， this method randomly generates integral nodes in the integration interval； next to optimize the nodes positions through the modified glowworm swarm optimization algorithm， thento sum cumulatively， the integral approximation can be obtained. The simulation shows that， compared with other methods， the modified glowworm swarm optimization algorithmhas obvious advantages in the accurate degree.

【Key words】Glowworm Swarm Optimization； Optimize； Modified； Numerical integration