非线性极大极小系统全局优化算法的分析

非线性极大极小系统的全局优化可用于柔性制造和智能交通的决策与控制.实现了非线性极大极小系统的全局优化算法的仿真,并进行了计算时间分析.数值实验表明了全局优化算法的可行性.算法的计算时间主要由系统的优化极大射影矩阵数目决定,而优化极大射影矩阵数目与系统解析式中单极大式的系数紧密相关,系数取值越分散,简约极大射影矩阵的效果越好,计算效率越高.

Analysis of the Algorithm of Global Optimization in Nonlinear Mas-min Systems

Global optimization of nonlinear max-min systems can be used for decision and control of the flexible manufacturing systems and intelligent transport systems.A simulation algorithm of global optimization in nonlinear max-min systems is realized and its computation time analysis is also given.The feasibility of algorithm is demonstrated by numerical examples.Computation time of the algorithm is mainly affected by the number of optimal max-only projection matrices and that number correlates closely with coefficients of max-only functions in the system analytical equation.The wider range coefficients have,the better effects of simplification are obtained and computation efficiency is higher.