ContinuousMOTestProblems contains a set of multi-objective optimization problems, which can be used to test optimization algorithms.
|Algorithm||deterministic test function|
|Design Variables||continuous design variables only|
|Objectives||multi-objective for minimization|
|Initial Search Region||problem dependent|
|Typical X||not set|
|Starting at his module||none|
|Ending at this module|| Connections of type |
The options are the number of discrete and continuous variables and an optional time delay for per evaluation.
The multi-objective sphere function f is a set of quadratic functions. More precisely, each fi is computed as the square of all continuous variables.
fi(x) = (xi - 1)2 + sumj, j~=i (xj2)
f1(x) = (x1 - 1)2 + x22 + x32 + ...
f2(x) = x12 + (x2 - 1)2 + x32 + ...
The Pareto front for the two-objective case is given in the following picture: