2.1 The BCC model of DEA evaluation
There are many methods of DEA model, and there
are two main types: fixed returns to scale DEA
model -- CCR model and variable returns to scale
DEA model -- BCC model. The CCR model is the
basic DEA model, which assumes that the input of
decision unit (DMU) can increase the output. That's
an ideal assumption. In reality, changes in scale lead
to different outputs. Therefore, a variable scale
compensation DEA model, namely the BCC model,
is produced. It measures the pure technical
efficiency, comprehensive efficiency and scale
efficiency of the decision unit. In this paper, the
BCC model is used to evaluate the transportation
efficiency of Guangdong province.
2.2 Input and output index selection
For transportation, the input indicators can include
the number of employees, the length of the line, the
number of stations, and the number of vehicles. The
output indicator can include passenger and freight
volume, and turnover, etc. Taking into account data
availability, the following index is used as input X
and output Y index (input indicator: railway line
mileage
; Highway mileage ; Mileage of
highway lines
; Water route mileage ; Air
miles
; Turnover of goods ; Turnover of
passenger
. The original data were obtained by
referring to the statistical yearbook of Guangdong
province from 2005 to 2015, as shown in table 1.
Table 1 The data of the input and output index of transportation in Guangdong province from 2005 to 2015.
Year
Mileage of the line Turnover of
goods
Turnover of
passenge
Railway
Highway
Expressway
Inland
waterway
Civil air route
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
1924
1862
1871
1859
2176
2297
2555
2577
3203
3818
5141
115337
178387
182005
183155
184960
190144
190724
194943
202915
212094
216023
3140
3340
3518
3823
4035
4839
5049
5524
5703
6266
7021
13596
13596
13596
13596
13596
13596
13596
13780
12096
12150
12150
1080706
1113479
1413918
1365418
1699629
1807385
1671100
1851000
2140600
2285800
2372900
3917.43
4162.77
4489.69
4591.22
4942.83
5933.88
7113.29
9780.56
12212.56
15020.92
15130.59
2043.23
2245.37
2626.71
2551.92
2853.30
3342.23
3851.84
4372.06
3538.10
3967.28
4335.79
Note: the mileage unit is km, and the freight
units are 100 million tons of kilometers, and the
passenger turnover units are 100 million people of
kilometers
In this case, because the civil aviation routes in
the statistical yearbook of 2011-2015 are
10,000kilometers, this article can only be converted
directly to kilometers.
According to the 11 decision units in table 1,
BCC model and DEAP2.1 analysis software were
applied to analyze the traffic efficiency of
Guangdong province. The evaluation results are
shown in table 2 and table 3 respectively.
As we can see from table 2, the transportation
system of Guangdong province from 2005 to 2015
has three years (2012, 2014, 2015) comprehensive
efficiency, technical efficiency and scale efficiency
are all effective in DEA. In the year when the DEA
was invalid, overall efficiency kept rising, and the
comprehensive efficiency reached the effective state
after 2012. In addition to 2009 and 2012, the
technical efficiency of transportation in Guangdong
province is 1, indicating that the optimization of
input and output has been achieved. At the same
time, the five years when DEA is invalid (2005,
2006, 2007, 2008, 2013), increasing return to scale
is increasing that is to say increase inputs can drive
the comprehensive efficiency of transportation.
Therefore, Guangdong province should increase the
transportation scale input, strengthen the
management of all links, and improve the
transportation efficiency.