Modern Bt Techniques - Florence 2016

Inverse Optimisation and Planning

General Form of a Dose Objective Function

[

]

[

]

N

1

Low-Objective

( ) d D x p i

( ) x

i ∑ 1 j i =

=

−

∀

<

i L

i

i L

f

D d

i

j

j

D

= D

for V

N

L

V

100%

[

]

( ) [ i j x

]

N

High-Objective D H = D V for V 0%

1

( ) x

1 ∑ = j i

p i

=

−

∀

>

i

i H

f

D d

D d

i

H

j

N

i

The Norm Factor p

p = 0 : Volume Objective Function 1 : Linear

2 : Variance based Objective Function