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Inverse Optimisation and Planning
A Multi-Objective (MO) Problem
Example of
a bi-objective space (f
1
, f
2
)
. We assume as mentioned already the minimization
problem.
The
Pareto Front
is the boundary between the points P
1
and
P
2
of the
feasible set F
.
Solutions 1
and 3 are
non-dominated Pareto optimal solutions
.
Solution 2 is
not Pareto Optimal
as
solution 1 has simultaneously smaller values for both objectives.
There is no reason why
solution 2 should be accepted rather than solution 1.
Therefore the aim of MO optimisation is
to obtain a representative set of non-dominated solutions.
Pareto Front (PF): non-dominated
solutions/plans
Underdosage of PTV
Overdosage
OAR
F: Feasible
solutions/plans