Journal of Jilin University(Engineering and Technology Edition) ›› 2023, Vol. 53 ›› Issue (2): 385-395.doi: 10.13229/j.cnki.jdxbgxb20210761

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Evaluation of road transportation efficiency based on fuzzy double frontiers network model

Zhan-zhong WANG(),Ting JIANG,Jing-hai ZHANG()   

  1. College of Transportation，Jilin University，Changchun 130022，China
  • Received:2021-08-09 Online:2023-02-01 Published:2023-02-28
  • Contact: Jing-hai ZHANG E-mail:wangzz@jlu.edu.cn;jinghai@jlu.edu.cn

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Abstract:

In order to evaluate the efficiency of road transportation more comprehensively， objectively and flexibly， the road transportation process was disassembled into three parts： infrastructure construction， passenger and cargo transportation and transportation performance evaluation， and fully considered the impact of undesired output and indicator uncertainty on efficiency. As a result， a road transportation efficiency evaluation method based on fuzzy double frontiers network data envelopment model was proposed. The main advantage of the model was that it can monitor the variation of internal sub-process efficiency in the imprecise system and highlight the role of inefficiency decision unit in efficiency evaluation. Finally， the model was used to evaluate the road transportation efficiency in Jilin Province， and the reliability of the model was proved by the rank-sum test.

Key words: transportation planning and management, fuzzy environment, road transport efficiency, double frontiers, network DEA

CLC Number: 

  • U491

Table 1

Input-output indicator set"

目标层过程层投入产出层指标层单位说 明
道路运输效率基础设施建设过程投入载客汽车拥有量万辆-
载货汽车拥有量万辆-
固定资产投资总额亿元-
中间产出公路里程万公里包含等级公路里程和等级以外公路里程
客位数万客位公路营运汽车额定载客人数
载货吨位万吨公路营运汽车额定载货吨数
客货运输过程投入道路运输业从业人数人-
客位数万客位-
载货吨位万吨-
能源万吨折算成标准煤
公路里程公里-
中间产出旅客周转量亿人公里-
货运周转量亿吨公里-
运输绩效过程投入旅客周转量亿人公里-
货运周转量亿吨公里-
最终产出道路运输业增加值亿元-
二氧化碳排放量万吨利用能源估算

Fig.1

Three-layer network structure of road transport"

Table 2

Efficiency of road transport under different frontiers in different years"

年份EBEF排名EBIF排名EBDF排名

2000

2001

2002

0.6676

0.7814

1

19

13

1

1

1.7744

1.9175

19

8

3

0.8171

1.1775

1.3847

19

10

3

20030.5602201200.748520
20040.7319161.4082151.015215

2005

2006

2007

2008

2009

2010

2011

2012

0.6840

0.8842

1

0.8854

0.7334

0.6862

0.8039

0.9393

18

9

1

8

15

17

12

6

1.3319

1.7744

2.0886

1.7819

1.6210

1

1.7133

1.8913

16

8

2

7

12

18

10

4

0.9545

1.2526

1.4452

1.2561

1.0900

0.8284

1.1736

1.3329

16

8

2

7

14

18

11

5

2013

2014

2015

2016

2017

2018

2019

1

0.8618

1

0.7641

0.8987

0.8122

1

1

10

1

14

7

11

1

1.7643

1

2.1370

1.6210

1.6509

1.5035

1.7843

6

17

1

12

11

14

5

1.3283

0.9283

1.4618

1.1129

1.2181

1.1051

1.3358

6

17

1

12

9

13

4

Fig.2

Three kinds of road transport efficiency"

Fig.3

Quadrant diagram of efficiency distribution with single frontier"

Fig.4

Distribution diagram of annual maximum efficiency under double frontiers when α=0"

Table 3

Sub-process efficiency and sensitivity analysis results"

年份子过程效率敏感性
S1S2S3固资能源CO2

2000

2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

2011

2012

2013

2014

2015

2016

2017

2018

2019

0.6687

1.1421

1.2399

0.8142

0.9433

0.8838

1.2305

1.4280

1.1624

0.9750

0.8906

1.0746

1.1303

1.2587

1.0331

1.4452

1.1246

1.0076

1.1193

1.3821

0.9235

1.2942

1.5402

0.7729

1.0979

0.9813

1.3855

1.4739

1.2182

1.1917

0.8326

1.4846

1.3563

1.2457

0.8456

1.4311

1.1568

1.4379

1.1094

1.3270

0.8590

1.0962

1.3741

0.6583

1.0045

0.9983

1.1417

1.4337

1.3876

1.1043

0.7619

0.9616

1.5120

1.4804

0.9063

1.5092

1.0574

1.2087

1.0865

1.2982

0.2693

0.2610

0.2671

0.2445

0.2845

0.2614

0.2643

0.2531

0.2764

0.2484

0.2477

0.2402

0.2479

0.2406

0.2022

0.2105

0.1965

0.1988

0.1717

0.1594

0.1653

0.1870

0.1774

0.1992

0.2259

0.2153

0.1826

0.2149

0.2120

0.1984

0.1736

0.1749

0.2245

0.1831

0.1749

0.2227

0.2310

0.1705

0.1636

0.1749

0.1494

0.1676

0.1742

0.1824

0.1907

0.1933

0.1929

0.1772

0.2055

0.2238

0.2020

0.1903

0.2316

0.2308

0.2012

0.2299

0.2281

0.2129

0.2112

0.2377

Fig.5

Sensitivity analysis results of three indicators"

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