benchmarkfcns.multiobjective.tanaka

benchmarkfcns.multiobjective.tanaka(x: Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]', 'flags.c_contiguous'], return_constraints: bool = False) → Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]']

Computes the value of the Tanaka multi-objective benchmark function. SCORES = multiobjective.tanaka(X) computes the value of the Tanaka function at point X. multiobjective.tanaka accepts a matrix of size M-by-2 and returns a matrix SCORES of size M-by-2. If return_constraints is True, returns an M-by-4 matrix where the last two columns contain the constraint violations (values > 0 are violations). Properties:

  • Number of dimensions: 2

  • Recommended domain: [0, Pi]^2

  • Constraints: 2 nonlinear constraints (one “ripple” constraint)

  • Pareto front: Disconnected

Mathematical Definition

Visualization

tanaka landscape