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讨论一类大规模系统的优化问题,提出一种递阶优化方法.该方法首先将原问题转化为多目标优化问题,证明了原问题的最优解在多目标优化问题的非劣解集中,给出了从多目标优化问题的解集中挑出原问题最优解的算法,建立了算法的理论基础.仿真结果验证了算法的有效性.
In this paper, we discuss a kind of large-scale system optimization problem and propose a hierarchical optimization method, which firstly transforms the original problem into a multi-objective optimization problem, and proves that the optimal solution of the original problem is in the non-inferior solution of the multi-objective optimization problem, The algorithm to pick out the optimal solution of the original problem from the set of multi-objective optimization problems is given and the theoretical basis of the algorithm is established. The simulation results show the effectiveness of the algorithm.