从工程实际角度引出实用点的概念,指出对于一个优化问题而言,在某些场合不仅要考虑目标函数的全局极值点,还要考虑函数在此极值点邻域内的性质,进而提出实用最优点的概念——带有一定邻域约束的全局最优点。由于该约束采用传统方法难以处理,文中采用邻域采样的近似方法,基于粒子群优化算法的思想,提出了一种快速搜索算法,以求取不同要求下的实用最优点。仿真实验结果验证了实用最优点的概念以及搜索算法的可行性,该搜索算法具有良好的寻优性能。
From the viewpoint of engineering practice,a concept of practicable point is proposed to solve optimiza-tion problems.However,in a certain situations,not only the global extreme points of the objective function but also the characteristics of objective function in the extreme point neighborhood should be considered.In view of this problem,a concept of practicable optimal point,namely the global optimal point with a neighborhood constraint,is further proposed.Moreover,as neighborhood constraint is difficult to obtain with traditional methods,an approxi-mate method based on neighborhood sampling is put forward,and a rapid search algorithm based on the particle swarm optimization is presented to find the practicable optimal points meeting different requirements.Simulated re-sults indicate that both the proposed practicable optimal point and the corresponding search algorithm are of feasibi-lity,and that the search algorithm is effective in searching the practicable optimal point.