Environmental Engineering Reference
In-Depth Information
Efficiency
=
u
1
y
j
∗
+
u
2
y
j
∗
+
+
u
N
y
j
∗
1
2
N
(13)
v
1
x
j
∗
+
v
2
x
j
∗
+
+
v
M
x
j
∗
1
2
M
y
j
∗
1
,
y
j
∗
2
,
...
,
y
j
∗
where,
u
1
,
u
2
,
...
are the weight given to output
n
(
n
=
1, 2,
...
,
N
);
N
are the amount of output n of Decision Making Unit (DMU)
j
∗
;
v
1
,
v
2
,
...
are the
weight given to input
m
(
m
=
1, 2,
...
,
M
)
;
x
j
∗
1
,
x
j
∗
2
,
...
,
x
j
∗
M
are the amount of input
m
to DMU
j
∗
; and
j
∗
is the DMU under consideration. The efficiency is usually
constrained to be between zero and one. A unit can be made efficient either by
reducing the input levels and getting the same output (input orientation) or by increas-
ing the output level with the same input level (output orientation). The input oriented
analysis is becoming more common in DEA applications because profitability depends
on the efficiency of the operations.
In this study the DEA technique is used for some integrated decision making
approaches. Candidate locations in each region (district) considered as DMUs.
The attributes divided to two groups; negative attributes as input group and posi-
tive attributes as output in DEA method. The model of CCR-input oriented used
to rank DMUs based on their efficiency scores. Then the efficient DMUs will be
selected to use in TOPSIS. A summary of DEA approach has been shown in Fig.
4
.
Fig. 4
DEA procedure used in this chapter
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