Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization Problems
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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.
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关键词:
- 半无限多目标优化 /
- (弱)有效解 /
- 最优性条件 /
- Clarke F-凸性
Abstract: The nonsmooth semi-infinite multiobjective optimization problem (SIMOP) was addressed 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 established. Next, the sufficient optimality conditions for the optimal solution to its scalar problem were obtained with the ChankongHaimes method. -
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