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Inverse Optimisation and Planning
A Multi-Objective (MO) Problem
Trade-off between three objectives (objective functions) for a prostate implant:
f
1
:
PTV coverage
,
f
2
:
urethra overdose
and
f
3
:
rectum overdose
.
There resulting
three two-dimensional projections
are shown. These show the
trade-off
between
two objectives in each case.
While for two objectives a solution very close to the optimal can be found, this becomes more difficult
as more objectives are considered.
The complexity of the
Pareto Front
increases rapidly with the
number of objectives / objective functions
.