Evaluating Branch Bank Efficiency A large national bank is interested in evaluating the performance of several of its branches. For this purpose, it has collected data for a DEA study (Table).
Three inputs have been selected for the study: personnel hours, operating expenses, and floor space. Three outputs have also been selected; these count the number of transactions in different areas of the bank. In particular, transactions are tracked in Deposits and Capital Transfers, Credit Processing, and Foreign Receipts.
(a) Perform a DEA evaluation for the branches, listing the efficiency for each branch.
(b) For each of the inefficient units, find the reference set.
Table. Input. and Outputs for 17 Branch Banks
|
Branch code
|
Inputs
|
Outputs
|
|
Labor
|
Expenses
|
Space
|
Deposits
|
Credit
|
Foreign
|
|
I
|
34515
|
6543
|
591
|
268836
|
9052
|
11242
|
|
2
|
49960
|
11830
|
550
|
475144
|
15697
|
15967
|
|
3
|
20652
|
3464
|
427
|
133020
|
3696
|
6937
|
|
4
|
49024
|
7603
|
478
|
355909
|
12918
|
16594
|
|
5
|
36923
|
8723
|
830
|
240679
|
4759
|
8087
|
|
6
|
28967
|
4606
|
474
|
211183
|
3188
|
5621
|
|
7
|
28452
|
7425
|
182
|
147364
|
5302
|
40618
|
|
8
|
45911
|
8313
|
790
|
130161
|
12070
|
115022
|
|
9
|
26890
|
14662
|
447
|
156828
|
15102
|
1336
|
|
10
|
47376
|
7576
|
764
|
297925
|
16797
|
12030
|
|
11
|
57913
|
12035
|
875
|
462603
|
2698
|
13232
|
|
12
|
43477
|
7255
|
1109
|
300976
|
12299
|
24368
|
|
13
|
49786
|
10909
|
405
|
233178
|
6248
|
4701
|
|
14
|
30045
|
4264
|
479
|
110976
|
8675
|
19796
|
|
15
|
56579
|
8895
|
840
|
363048
|
6370
|
10788
|
|
16
|
43824
|
12690
|
801
|
130219
|
20417
|
28133
|
|
17
|
33823
|
4143
|
381
|
146804
|
47508
|
21856
|