非光滑半无限多目标优化问题的最优性充分条件  

Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization Problems

作　　者：杨玉红[1,2] 李飞[1] 

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021 [2]长江师范学院数学与统计学院,重庆408100

出　　处：《应用数学和力学》2017年第5期526-538,共13页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11431004;11601248)~~

摘　　要：研究了一个非光滑半无限多目标优化问题(简记为SIMOP),并讨论了它的最优性条件.首先,通过对目标函数和约束函数的某种组合赋予Clarke F-凸性假设,获得了SIMOP(弱)有效解的最优性充分条件.接下来,用Chankong-Haimes方法建立了此SIMOP的一个标量问题并得到了这个标量问题的最优性充分条件.The nonsmooth semi-infinite multiobjective optimization problem （SIMOP） was ad- dressed and its optimality conditions were discussed. First, the Clarke F-convexity hypothesis was imposed on some combinations of the objective functions and the constraint functions, the sufficient optimality conditions for the （weakly） efficient solution to the SIMOP were estab- lished. Next, the sufficient optimality conditions for the optimal solution to its scalar problem were obtained with the Chankong-Halmes method.

关 键 词：半无限多目标优化 (弱)有效解 最优性条件 Clarke F-凸性 

分 类 号：O221.6[理学—运筹学与控制论]