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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

.

Inverse Optimisation and Planning: A Multi-Objective (MO) Problem