makeBiSphereFunction function

Bi-objective Sphere function

Builds and returns the bi-objective Sphere test problem: [REMOVE_ME]$f(\mathbf{x}) = \left(\sum_{i=1}^{n} \mathbf{x}_i^2, \sum_{i=1}^{n} (\mathbf{x}_i - \mathbf{a})^2\right) [REMOVE_ME_2]$

where [REMOVE_ME]$\mathbf{a} \in R^n [REMOVE_ME_2]$.

makeBiSphereFunction(dimensions, a = rep(0, dimensions))

Arguments

• dimensions: [integer(1)]

  Number of decision variables.

• a: [numeric(1)]

  Shift parameter for the second objective. Default is (0,...,0).

Returns

[smoof_multi_objective_function]

Description

Builds and returns the bi-objective Sphere test problem:

where

.