摘要
研究非线性等式约束全局优化问题 ,其中目标函数和约束函数为 C1类函数 .针对非线性等式约束函数 ,定义了广义 Krawczyk算子 ,建立了约束函数的区间迭代和新的无解区域删除原则 ,在此基础上 ,基于罚函数法和区域二分原则 ,构造了求解非线性等式约束全局优化问题的区间算法 ,理论分析和实例计算均表明算法是可靠和有效的 .
This paper is concerned with the global optimization problem with nonlinear equality constrain, in which the objective functions and constrained functions are C 1 functions. The general Krawczyk operator was defined, and the design interval iteration about constrained functions and new region deletion test rules were established. At last, the interval algorithm with penalty function methods and the bisection rule of Moore. Were designed. The results indicate that the algorithm is convergence, stable, and reliable.
出处
《中国矿业大学学报》
EI
CAS
CSCD
北大核心
2003年第2期204-208,共5页
Journal of China University of Mining & Technology
基金
国家自然科学基金资助项目 ( 5 0 1740 5 1)