三阶系统优化的分解模型及其协调算法

Some Decomposition Models for Three-level System Optimization and Their Coordination Algorithms

给出了三级递阶系统（简称三阶系统）的一般分布形式，根据优化中的变量与约束无耦合情形、约束局部耦合情形、约束全局耦合情形和变量与约束均耦合情形等四种情况，分别给出了三阶系统优化的四类数学模型。根据大系统优化的分解协调理论，针对上述优化模型，分别给出了其具体的分解模型及协调算法。本文提出的理论与方法完全可以推广到多级递阶系统。

The general distribution pattern of the three-level hierarchical system is given.Ac cording to the four cases in optimization including case with neither coupling constraints nor coupling variables, case with locally coupling constraints, case with globally coupling constraints and case with both coupling constraints and coupling variables, the respective mathematical models for three-level system optimization are put forward. On the basis of the decomposition-coordination theory of large scale system, the decomposition model and its coordination algorithm are given in accordance with each optimization model. The theory and algorithms proposed in this paper can be completely extended to multi-level hierarchical system.