There are many different methods for approximating objective functions in
their domain of definition. Obviously it is important during this approximation
process to have a good distribution of data into the parameter set.
But why do we have to use approximation and not use directly the model
itself? We can resort to approximation when the computation time using
the physical model is too large. Considering very complex dynamical non
linear models, during the optimisation process more than 98% of the time
is spent in simulation and less than 2% for the optimisation algorithm.
A good approximation of the relationships between design variables and
objective functions can greatly improve the performances of the optimisation
procedure.
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