摘要
中心设计问题（Ｄｅｓｉｇｎ ｃｅｎｔｅｒｉｎｇ ｐｒｏｂｌｅｍ）又称嵌入问题（Ｅｍｂｅｄｄｅｄ ｐｒｏｂｌｅｍ）。实质上，它是个不可微优化问题。本文通过引进力学上的有关概念，特别是通过对“中心力”的定义，给出了中心设计问题的一个新的数学模型。从而把不可微优化问题转化为非线性规划问题。另外，对加权系数ｐ（ｘ）作了精确处理，使计算出的中心点与实际中心点相吻合。采用ＦＯＲＴＲＡＮ 语言对上述算法编写了计算程序，在ＩＢＭ－ＰＣ微机上通过了大量实例计算，充分说明了本文给出的算法收敛速度快，结果精确。
Center design problem, which is also called embedded problem, is actually a nondifferential optimization problem. By using introduction of some related mechanics concepts, especially the definition of 'center force', a new mathematical model of design center problem is given, and so the nondifferential problem is converted into a non-linear programming problem. By making precise process with the weighted coefficient p(x), the computed center point is coincident with the actu al center point. The algorithm is programmed in FORTRAN language and is imple- mented on IBM-PC microcomputer. The results are exact and fully show the convergence of the given algorithm, and that the rate of convergence is fast.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
1989年第4期373-379,共7页
Journal of Dalian University of Technology
关键词
中心力
最优化算法
非线性规划
optimization algorithms
non-linear programming
central force
convergnce/non-differentiable programming
