用于工程系统设计的一个二层优化方法

结合线性分解法和模型协调法提出了一个适用于一般工程系统设计的优化方法。该法将原系统分解为若干较小的子系统和一个协调系统，使在原系统内形成一个二层（分别称为系统层和子系统层）结构关系。每个子系统有自己的目标函数、设计变量和约束条件。对给定的系统层设计变量，各子系统可以单独进行优化设计。各子系统的优化结果通过协调系统协调最终获得原问题的最优解。该法可以在平行计算机或分布式计算机上实现．其正确性和有效性通过３个优化实例得到了验证。

A Two-level Optimization Method for the Design of Engineering Systems

An optimization method based on the linear decomposition and the model coordination for the design of engineering systems is described. The original system is decomposed into a number of smaller subsystems and a coordination system,and to be a two-level hierarchy. Each subsystem with its own goal and constraints as well as local design variables is optimized seperatively for fixed system variables.The coordination optimization is performed by minimizing the weighted sum of all subsystem objective minima. An iterative procedure is necessarily converged to original problem. Three examples are also given to demonstrate the effectiveness of the method which can be used on networks of distributed computers or parallel processors.