benchmarkfcns.multiobjective.oka2

benchmarkfcns.multiobjective.oka2(x: Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]', 'flags.c_contiguous']) → Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]']

Computes the value of the OKA2 bi-objective benchmark function. SCORES = multiobjective.oka2(X) computes the value of the OKA2 function at point X. multiobjective.oka2 accepts a matrix of size M-by-3 and returns a matrix SCORES of size M-by-2. Properties:

• Recommended domain: x1 in [-pi, pi], x2, x3 in [-5, 5]

Mathematical Definition

\[\begin{aligned}\]

f_1(x) &= x_1 \ f_2(x) &= 1 - frac{1}{4pi^2} (x_1 + pi)^2 + |x_2 - 5 cos(x_1)|^{1/3} + |x_3 - 5 sin(x_1)|^{1/3} end{aligned}

Visualization

No visualization available for this function.