weights
Specify weights for each objective function
Specification
Alias: multi_objective_weights
Arguments: REALLIST
Default: equal weights
Description
For multi-objective optimization problems (where the number of
objective functions is greater than 1), then a weights
specification provides a simple weighted-sum approach to combining
multiple objectives into a single objective:
.. math:: f = sum_{i=1}^{n}
w_{i}f_{i}
Length: The weights must have length equal to
objective_functions. Thus, when scalar and/or field
responses are specified, the number of weights must equal the
number of scalars plus the number of fields, not the total elements
in the fields.
Default Behavior If weights are not specified, then each
response is given equal weighting:
.. math:: f = sum_{i=1}^{n}
frac{f_i}{n}
where, in both of these cases, a “minimization”
sense will retain a positive weighting
for a minimizer and a “maximization” sense will apply a negative
weighting.
Usage Tips:
Weights are applied as multipliers, scales as charateristic values / divisors.
When scaling is active, it is applied to objective functions prior to
any weights and multi-objective sum formation. See the equations in
objective_functions.
