基于斐波那契树优化算法的切削参数多方案优化方法

Cutting parameters multi-scheme optimization based on Fibonacci tree optimization algorithm

针对切削参数优化问题,以生产成本最小化为优化目标,基于斐波那契法最优化原理与黄金分割法,提出斐波那契树优化算法(FTO)进行优化求解.该算法通过全局探索与局部寻优交替进行,达到快速收敛到全局最优解的目的,避免陷入局部最优;通过设置距离参数保留多个有价值的全局最优解和局部最优解,可以一次性得到多个全局最优的优化设计方案.8个典型多峰函数的测试结果表明,FTO算法具有较强的全局寻优能力和较高的寻优精度.利用FTO算法对切削参数进行优化,仿真结果表明,所提出算法能够找到多个满足约束条件的切削参数优化结果.采用多方案优化方法不仅能一次性得到多个生产成本最低的最优解,还能给出切削参数的优化组合取值.多方案优化方法使优化算法应用于工程优化问题具有现实意义.

Aiming at the optimization of cutting parameters, the Fibonacci tree optimization（FTO） algorithm based on the Fibonacci optimization principle and golden section method is proposed by taking minimal production cost as goal. Global search and local optimization are alternately executed to make sure the global optimal solution converge rapidly, avoiding obtaining partial optimal solutions only. The distance parameter is set to retain multiple valuable global optimal solutions and partial optimal solutions, which can provide a multiple global optimal scheme at one time. Test results of eight typical multimodal functions show that the FTO algorithm has strong ability of global optimization and high accuracy. Cutting parameters are optimized using the FTO algorithm. Simulation results show that the proposed algorithm can provide a plurality of optimal results of cutting parameters that meet the multi-constrain. Multi-scheme optimization can provide multiple optimal solution of minimum production cost at one time and optimum combination of cutting parameter values, and it has great real meaning to apply the multi-scheme optimization to engineering optimization problem.