This study collects fifty test functions. This collection includes test problems
from Deb ’s test and problem toolkit,
ZDT
and
DTLZ
test suites, Van Veldhuizen’s test
suite, and other examples from the literature. For each test function, the Pareto-optimal
set in the parameter space and the Pareto-optimal front in the fitness space are
determined by using NSGA-II. We specify the main features of the Pareto-optimal sets
for these test functions. The Pareto-optimal sets can be connected or disconnected,
separable, unimodal of multimodal, symmetric and scalable. The Pareto-optimal fronts
may have particular shapes such as a curve, a single point or a surface. The Paretooptimal
fronts can be connected or disconnected, and entirely or partially with convex
or nonconvex.
Keywords: Connected Pareto-optimal front, Constrained test function, Convex
function, Disconnected Pareto-optimal front, Multimodal function, Near Paretooptimal
front, Nonconvex function, NSGA-II software, Scalable function,
Separable function, Symmetric Pareto-optimal front, Test function, Test suites,
Unconstrained test function, Unimodal function.
