基于模糊数学的非线性二层规划问题求解算法研究

Research on Solving Algorithm of Nonlinear Bi-level Programming Problem Based on Fuzzy Mathematics

为了提高非线性二层规划寻优和运筹能力,提出基于模糊数学的非线性二层规划问题求解算法。建立非线性二层规划的线性方程组,采用最大Lyapunov泛函方法进行非线性二层规划过程中的最优参数辨识,建立非线性二层规划寻优的自动搜索模型,通过建立非线性二层规划的双曲微分方程组,进行非线性二层规划的最优解向量分析,实现非线性二层规划优化。实验结果表明,采用该方法进行非线性二层规划的自适应性较好,收敛性和输出稳定性较好。

In order to improve the optimization and operation ability of nonlinear bi-level programming,a nonlinear bi-level programming problem solving algorithm based on fuzzy mathematics is proposed.Establish a linear system of nonlinear bi-level programming,use the maximum Lyapunov functional method to identify the optimal parameters in the process of nonlinear bi-level planning,establish an automatic search model for nonlinear bi-level planning optimization,and establish a nonlinear bi-level programming.The hyperbolic differential equations of the plan are analyzed by the optimal solution vector of the nonlinear bi-level programming to realize the optimization of the nonlinear bi-level programming.Experimental results show that this method has better adaptability,better convergence and output stability for nonlinear bi-level programming.