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Create a single Objective Function via weighted Aggregation

w

m

:

the

Importance Factors

(IFs) for the individual

Objective Functions

f

m

or

Penalties

for the

penalisation

of the

violation of the individual objectives

.

These are considered as a measure of the relative significance of each

of the objectives / objective functions in the optimisation process.

The optimisation process equals then the minimisation of the

Aggregated Objective Function f

.

     

) , , (

1

w t

r f

fw f

M

m

mm

The M

objective functions f

m

are

combined into a

single objective

function f,

by using a

weighted sum (aggregation)

of all objectives:

Inverse Optimisation and Planning