R/constraint_penalty.R
constraint_penalty.Rd
Uses the Penalty Function constraint handling method to generate a preference index for the MOEADr framework.
constraint_penalty(B, bigZ, bigV, beta, ...)
Matrix of neighborhoods (generated by define_neighborhood()
$B
)
Matrix of scalarized objective values for each neighborhood and
the incumbent solution (generated by scalarize_values()
)
Matrix of violation values for each neighborhood and the
incumbent solution (generated in order_neighborhood()
)
Penalization constant (non-negative value)
other parameters (unused, included for compatibility with generic call)
[ N x (T+1) ]
matrix of preference indices. Each row i
contains
a permutation of {1, 2, ..., (T+1)}
, where 1,...,T
correspond
to the solutions contained in the neighborhood of the i-th subproblem,
B[i, ]
, and T+1
corresponds to the incumbent solution for that
subproblem. The order of the permutation is defined by the increasing values
of f(xk) + beta * v(xk)
, where f(xk)
is the aggregation function value of
the k-th solution being compared, and v(xk) is its total constraint violation
(calculated in evaluate_population()
$V$v
).
This function calculates the preference index of a set of neighborhoods
based on the "penalty" constraint handling method. Please
see order_neighborhood()
for more information on the preference index
matrix.
F. Campelo, L.S. Batista, C. Aranha (2020): The MOEADr Package: A
Component-Based Framework for Multiobjective Evolutionary Algorithms Based on
Decomposition. Journal of Statistical Software doi:10.18637/jss.v092.i06