TY - JOUR
T1 - Global minimization of constrained problems with discontinuous penalty functions
AU - Zheng, Quan
AU - Zhang, Liansheng
PY - 1999
Y1 - 1999
N2 - With the integral approach to global optimization, a class of discontinuous penalty functions is proposed to solve constrained minimization problems. Optimality conditions of a penalized minimization problem are generalized to a discontinuous case; necessary and sufficient conditions for an exact penalty function are examined; a nonsequential algorithm is proposed. Numerical examples are given to illustrate the effectiveness of the algorithm.
AB - With the integral approach to global optimization, a class of discontinuous penalty functions is proposed to solve constrained minimization problems. Optimality conditions of a penalized minimization problem are generalized to a discontinuous case; necessary and sufficient conditions for an exact penalty function are examined; a nonsequential algorithm is proposed. Numerical examples are given to illustrate the effectiveness of the algorithm.
KW - Discontinuous penalty functions
KW - Integral global minimization
KW - Robust sets and functions
UR - http://www.scopus.com/inward/record.url?scp=0033076049&partnerID=8YFLogxK
U2 - 10.1016/s0898-1221(99)00058-9
DO - 10.1016/s0898-1221(99)00058-9
M3 - Article
AN - SCOPUS:0033076049
SN - 0898-1221
VL - 37
SP - 41
EP - 58
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 4-5
ER -