Research Article

A Hybrid Epigraph Directions Method for Nonsmooth and Nonconvex Constrained Optimization via Generalized Augmented Lagrangian Duality and a Genetic Algorithm

Table 1

Parameters of the IED method.

Test-problem Population Size Generations Lower Bound Upper Bound Optimal Value

GLR-P1-1 50
GQR-P1-1 1
PPR-P1-2 0.1
PQR-T1-7 1.5
SQR-P1-1 0.2
LGR-P1-1 0.1
QBR-T1-1 1
PBR-T1-1 1
PBR-T1-2 1
QQR-P1-3 1
QQR-T1-6 1
PLR-T1-1 1 −1
PBR-T1-3 1 2.6666
QLR-T1-1 1 −99.96
PQR-T1-1 5 306.5
QQR-T1-3 0.1 −30
GBR-T1-1 1 −1.9132
PQR-T1-4 1−6961.8138
QQR-T1-2 1−8.4984
QPR-T1-1 0.1 1