最佳矢量与遗传算法在结构系统可靠性优化中的应用

利用目标函数和约束函数的梯度信息,给出了基于结构可靠性的最佳矢量优化方法,其具有较强的局部搜索能力、收敛快等特点,并结合遗传算法较强的全局搜索能力构造了基于最佳矢量优化方法和遗传算法的混合算法。该方法结合了二者的各自的特点,使两种算法的搜索能力得到了相互补充,祢补了各自的弱点。结合算例表明,应用该方法所得的优化结果好于单独使用最佳矢量优化方法或单独使用遗传算法所得的优化结果,该方法是一种优化能力、效率较高的优化方法。

Appling Optimum Vector and Genetic Arithmetic to Structural System Optimization Based on Reliability

The optimum vector optimization method is given based on the grads of objective and restriction function,the method has strong local searching capability and good convergence.The mixed optimization method is established combining global searching capability of the genetic arithmetic and local searching capability of the optimum vector optimization method.The mixed optimization method combines the characteristic of two-optimization method and makes reinforce of searching capability and reform the weakness of each method.A numerical example is indicated that the optimization result of the mixed optimization method is better than the optimization result of the optimum vector optimization method or the genetic arithmetic.The method has strong optimization capability and high optimization efficiency.