Geoscience Reference
In-Depth Information
6.1.1 BCC Model Oriented to the Minimization of Inputs
Minimize
h
ao
subject to
X
k
a
I
sa
h
ao
I
sao
0
for all s from 1 to m
1
;
;
a
X
O
rao
k
a
O
ra
0
;
for all r from 1 to m
2
;
a
X
k
a
¼
1
;
a
k
a
0
for all a from 1 to n
;
:
6.1.2 BCC Model Oriented to the Maximization of Outputs
Maximize
h
ao
subject to
X
h
ao
O
rao
k
a
O
ra
0
;
for all r from 1 to m
2
;
a
X
k
a
I
sa
I
sao
0
for all s from 1 to m
1
;
;
a
X
k
a
¼
1
;
a
k
a
0
for all a from 1 to n
;
:
For multiple criteria composition, the more natural mode of use of the DEA
approach is to measure all the criteria in an increasing form and treat them as
outputs generated by a constant input. With constant input, there is no reason to
consider variable returns to scale, and the model takes the simpler form:
X
Maximize
h
ao
¼
l
r
O
rao
r
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