makeShekelFunction function

Shekel functions

Single-objective test function based on the formula [REMOVE_ME]$f(\mathbf{x}) = -\sum_{i=1}^{m} \left(\sum_{j=1}^{4} (x_j - C_{ji})^2 + \beta_{i}\right)^{-1} [REMOVE_ME_2]$. Here, $m \in \{5, 7, 10\}$ defines the number of local optima, $C$ is a $4 x 10$ matrix and $\beta = \frac{1}{10}(1, 1, 2, 2, 4, 4, 6, 3, 7, 5, 5)$ is a vector. See https://www.sfu.ca/~ssurjano/shekel.html

for a defintion of $C$.

makeShekelFunction(m)

Arguments

• m: [numeric(1)]

  Integer parameter (defines the number of local optima). Possible values are 5, 7 or 10.

Returns

[smoof_single_objective_function]

Description

Single-objective test function based on the formula

. Here, $m \in \{5, 7, 10\}$ defines the number of local optima, $C$ is a $4 x 10$ matrix and $\beta = \frac{1}{10}(1, 1, 2, 2, 4, 4, 6, 3, 7, 5, 5)$ is a vector. See https://www.sfu.ca/~ssurjano/shekel.html

for a defintion of $C$.