Author: Hsu, Y. L., Sheppard, S. D., Wilde,
D. J., (1996-01-01); recommended: Yeh-Liang Hsu (2010-06-15).
Note: This paper is published in Engineering Optimization, Vol. 27, No.
1, pp.21-42, January 1996.
approximation method for design optimization with implicit constraints
Approximation Method for design optimization problems with implicit constraints
is presented. This is a zero-order sequential approximation method. Only
function values of the implicit constraint are needed, and no gradient
calculation is required. The basic idea is to use engineering knowledge instead
of purely numerical gradient information to form an explicit approximation to
the implicit constraint. Design examples are presented to show how good explicit
approximations to the implicit constraints can be formed, and a good and
feasible, if not theoretically optimum, design can be found very efficiently by
the Explicit Approximation Method using only zero-order information.