基于改进粒子群算法数控磨床可靠性分配优化研究

Research on reliability allocation optimization of CNC grinder based on improved particle swarm optimization

  • 摘要: 为了研究数控磨床整机可靠度相同条件下成本最低的可靠性分配方案,结合目标函数和限制优化条件,提出了一种改进粒子群算法。首先,介绍了改进粒子群算法的基本理论;然后,结合广义可靠度-成本函数模型,建立了数控磨床的可靠性-成本函数模型;接下来,分析了数控磨床子系统之间的可靠度关系,构建了可靠度分配非线性规划模型;最后,利用改进粒子群法对模型进行求解,并与遗传算法求解结果作对比。结果表明:在保证可靠度条件下,改进粒子群算法优化结果更为合理。研究结果已反馈给厂家并获得认可,对提升数控磨床整机的可靠性水平有重要意义。

     

    Abstract: In order to study the reliability allocation scheme with the lowest cost under the same reliability of NC grinder, an improved particle swarm optimization algorithm is proposed by combining the objective function and limited optimization conditions. Firstly, the basic theory of improved particle swarm optimization is introduced. Secondly, the reliability cost function model of CNC grinding machine is established by combining the generalized reliability cost function model. Thirdly, the reliability relationship between subsystems of CNC grinding machine is analyzed, and the non-linear programming model of reliability allocation is constructed. Finally, the improved particle swarm optimization method is used to solve the model, which is compared with genetic algorithm. The results show that under the condition of ensuring reliability, the improved particle swarm optimization algorithm is more reasonable. The research results have been fed back to the manufacturer and approved, which is of great significance to improve the reliability level of CNC grinder.

     

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