基于单调性分析的智能优化设计系统

An Intelligent Design Optimization System Based on Monotonicity Analysis

提出一种基于单调性分析和计算机符号处理、人工智能技术的智能优化设计系统。并提出一种利用单调性分析的变量边界区间缩小方法，通过系统的测试、分解等，在不需求助于传统的优化方法的情况下，判断出许多工程优化问题，包括一些带有非单调性函数的问题的全部松约束和紧约束，从而可以求出问题的全局最优解。

An intelligent system of design optimization based on monotonicity analysis and symbolic manipulating technique has been presented in this paper, and a method for reducing the bound interval of each variable by monotonicity analysis is also proposed. By using the monotonicity analysis module,the testing module and the decompositing module of the system,activity of all constraints can be determined rapidly, and the global optimum solution can also be found easily without the need of traditional numerical optimization techniques. The system can be used for most engineering design optimization problems as well as the problems with non-monotonic functions.