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Example:
Bi-Objective Pareto Fronts
obtained for
22 prostate implants
. The variety shows that a single
objective optimization does not give always a good result.
In general a strong trade-off is
observed.
*
*Lahanas, Milickovic, Baltas, Zamboglou: “Application of Multiobjective Evolutionary Algorithms for Dose Optimization
Problems in Brachytherapy”,
EMO 2001, LNCS 1993, 574-587, 2001.
Conformity
Homogeneity
PTV
Example of a Pareto Front:
there is
a strong
trade-off
between the objectives/ objective
functions
f
1
and
f
2
.
The smaller the
f
1
value is
that we want the larger is the corresponding
f
2
value
.
The
“ideal point/plan” I
lies far away
form the front. There is a high dependence on
the selection of the
f
1
value.
Inverse Optimisation and Planning: A Multi-Objective (MO) Problem