工业大系统递阶多目标优化的分解协调方法

Decomposition and Coordination Approaches for Hierarchical Multiobjective Optimization of Industrial Large Scale Systems

研究了工业大系统递阶多目标优化问题,将其归纳为三种基本形式,并提出了三种相应的新算法。这些方法的基本思想是利用分解协调原理和多目标优化技术,将原问题化为一个二级优化问题。第一级求解一系列低维数的多目标子问题,第二级进行协调。这样大大节省了所需的计算机内存容量,加快了算法的收敛速度。这些算法还具有简单、实用等优点。数值例子证明了以上的结论。

The problem of hierarchical multiobjective optimization of industrial large scale systems is studied. It is classified into three basic forms and three new approaches are presented. The original problem is simplified to a coordinator and a series of multiobjective subproblems with lower dimension by decomposition and coordination principle and multiobjective optimal technique, so that only less computer memories are needed and the convergence is speeded. The approaches are also simple, practical and efficient. These have beeh shown by several numerical examples.