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

Previous Articles     Next Articles

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

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-
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"

1 Li Y J, Wang L Z, Li F. A data-driven prediction approach for sports team performance and its application to National Basketball Association[J]. Omega-International Journal of Management Science, 2021, 98: 102-123.
2 朱伟权, 杨晓光, 滕靖. 基于数据包络分析和随机前沿分析的公交线路绩效的外部运营环境影响分析[J]. 吉林大学学报:工学版, 2013, 43(5): 1215-1221.
Zhu Wei-quan, Yang Xiao-guang, Teng Jing. External operating environment impact analysis of bus route performance based on data envelopment analysis and stochastic frontier analysis[J]. Journal of Jilin University(Engineering and Technology Edition), 2013, 43(5): 1215-1221.
3 郝合瑞, 邵春福, 陈晓明, 等. 基于组合评价方法的道路运输站场布局评价[J]. 吉林大学学报:工学版, 2008, 38(6): 1291-1294.
Hao He-rui, Shao Chun-fu, Chen Xiao-ming, et al. Road transport station layout evaluation based on combination evaluation method[J]. Journal of Jilin University(Engineering and Technology Edition), 2008, 38(6): 1291-1294.
4 Liu H W, Wu J, Chu J F. Environmental efficiency and technological progress of transportation industry-based on large scale data[J]. Technological Forecasting and Social Change, 2019, 144: 475-482.
5 Liu H W, Yang R L, Wang Y Q, et al. Measuring performance of road transportation industry in China in terms of integrated environmental efficiency in view of streaming data[J]. Science of the Total Environment, 2020, 727: 138675.
6 Liu H W, Yang R L, Wu J, et al. Total-factor energy efficiency change of the road transportation industry in China: a stochastic frontier approach[J]. Energy, 2021, 219: 119612.
7 Cooper W W, Park K S, Yu G. IDEA and AR-IDEA: models for dealing with imprecise data in DEA [J]. Management Science, 1999, 45(4): 597-607.
8 Hashem O, Khatereh S, Arash A. Integrated data envelopment analysis and cooperative game for evaluating energy efficiency of transportation sector: a case of Iran[J]. Annals of Operations Research, 2019, 274(1/2): 471-499.
9 Kwanjira K, Van-Nam H, Veeris A, et al. A risk analysis based on a two-stage model of fuzzy AHP-DEA for multimodal freight transportation systems[J]. IEEE Access, 2020(8): 756-773.
10 Liu J S, Lu L Y Y, Lu W M, et al. A survey of DEA applications[J]. Omega-International Journal of Management Science, 2013, 41(5): 893-902.
11 Tone K, Tsutsui M. Network DEA: a slacks-based measure approach[J]. European Journal of Operational Research, 2009, 197(1): 243-252.
12 Mahmoudabadi M Z, Azar A, Emrouznejad A. A novel multilevel network slacks-based measure with an application in electric utility companies[J]. Energy, 2018, 158: 1120-1129.
13 Wang Y M, Chin K S, Yang J B. Measuring the performances of decision-making units using geometric average efficiency[J]. Journal of the Operational Research Society, 2007, 58(7): 929-937.
14 Tone K. A slacks-based measure of efficiency in data envelopment analysis[J]. European Journal of Operational Research, 2001, 130(3): 498-509.
15 Liu S T, Lee Y C. Fuzzy measures for fuzzy cross efficiency in data envelopment analysis[J]. Annals of Operations Research, 2021, 300(2): 369-398.
16 Shermeh H E, Najafi S E, Alavidoost M H. A novel fuzzy network SBM model for data envelopment analysis: a case study in Iran regional power companies[J]. Energy, 2016, 112: 686-697.
17 Dotoli M, Epicoco N, Falagario M. A fuzzy technique for supply chain network design with quantity discounts[J]. International Journal of Production Research, 2017, 55(7): 1862-1884.
18 程豪. 碳排放怎么算: 《2006年IPCC国家温室气体清单指南》[J]. 中国统计, 2014(11): 28-30.
19 国家统计局. 分省年度数据[EB/OL]. [2021-03-04].
20 马帅. 《中国能源统计年鉴》[EB/OL]. [2021-04-04].
21 吉林省统计局. 《吉林省统计年鉴》[EB/OL]. [2021-02-16].
[1] Yun-juan YAN,Wei-xiong ZHA,Jun-gang SHI,Jian LI. Mixed network equilibrium model with stochastic charging demand [J]. Journal of Jilin University(Engineering and Technology Edition), 2022, 52(1): 136-143.
[2] Hao LI,Hao CHEN. Mixed traffic network equilibrium with battery electric vehicles considering charging queuing time [J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(5): 1684-1691.
[3] Zuo-an HU,Yi-ming XIA,Jia CAI,Feng XUE. Optimization of urban rail transit operation adjustment based on multiple strategies under delay [J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(5): 1664-1672.
[4] Cai-hua ZHU,Xiao-li SUN,Yan LI. Forecast of urban public bicycle traffic demand by station classification [J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(2): 531-540.
[5] Qing-yu LUO,Wan-li TIAN,Hong-fei JIA. Location and capacity model of electric vehicle charging station considering commuting demand [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(5): 1471-1477.
[6] CAO Qian, LI Jun, LIU Yu, QU Da-wei. Construction of driving cycle based on Markov chain for passenger car in Changchun City [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1366-1373.
[7] SUN Bao-feng, GAO Kun, SHEN Xiu-xiu, LIANG Ting. Location model of gas station for network expansion based on capacity balance and variable coverage radius [J]. 吉林大学学报(工学版), 2018, 48(3): 704-711.
[8] SUN Xu, LI Chong, YANG Yin-sheng, YANG Jun. Efficiency measurement of mechanical production manufacturing process based on network DEA [J]. 吉林大学学报(工学版), 2012, 42(增刊1): 484-488.
[9] XU Liang,CHENG Guo-zhu. Setting minimum vehicle speed limit on freeway based on speed scattering and economic speed [J]. 吉林大学学报(工学版), 2010, 40(03): 661-0665.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] LI Shoutao, LI Yuanchun. Autonomous Mobile Robot Control Algorithm Based on Hierarchical Fuzzy Behaviors in Unknown Environments[J]. 吉林大学学报(工学版), 2005, 35(04): 391 -397 .
[2] Liu Qing-min,Wang Long-shan,Chen Xiang-wei,Li Guo-fa. Ball nut detection by machine vision[J]. 吉林大学学报(工学版), 2006, 36(04): 534 -538 .
[3] Li Hong-ying; Shi Wei-guang;Gan Shu-cai. Electromagnetic properties and microwave absorbing property
of Z type hexaferrite Ba3-xLaxCo2Fe24O41
[J]. 吉林大学学报(工学版), 2006, 36(06): 856 -0860 .
[4] Zhang Quan-fa,Li Ming-zhe,Sun Gang,Ge Xin . Comparison between flexible and rigid blank-holding in multi-point forming[J]. 吉林大学学报(工学版), 2007, 37(01): 25 -30 .
[5] Yang Shu-kai, Song Chuan-xue, An Xiao-juan, Cai Zhang-lin . Analyzing effects of suspension bushing elasticity
on vehicle yaw response character with virtual prototype method
[J]. 吉林大学学报(工学版), 2007, 37(05): 994 -0999 .
[6] Yang Qing-fang, Chen Lin . Division approach of traffic control work zone[J]. 吉林大学学报(工学版), 2006, 36(增刊2): 139 -142 .
[7] Yu Hua-nan, Kang Jian . An improved blind multiuser detection scheme based on Kalman filter[J]. 吉林大学学报(工学版), 2006, 36(增刊2): 122 -125 .
[8] Li Cheng, Liu Zhi-hua, Zhang Ping . Analysis on stress and displacement of a composite flywheel composed of twolayer rotor with pre-displacement[J]. 吉林大学学报(工学版), 2007, 37(04): 828 -832 .
[9] Li Yue-ying,Liu Yong-bing,Chen Hua . Surface hardening and tribological properties of a cam materials[J]. 吉林大学学报(工学版), 2007, 37(05): 1064 -1068 .
[10] Zhang He-sheng, Zhang Yi, Wen Hui-min, Hu Dong-cheng . Estimation approaches of average link travel time using GPS data[J]. 吉林大学学报(工学版), 2007, 37(03): 533 -0537 .