Route-Level Transit Operational-Efficiency Assessment with a Bootstrap Super-Data-Envelopment Analysis Model
Publication: Journal of Urban Planning and Development
Volume 143, Issue 3
Abstract
Route-level operational efficiency assessment is an essential task for transit service providers to capture passenger demand trends, operational constraints, concerns of stakeholders, and changing service needs. It also allows the responsible authorities to achieve better economic performance assessment, organization administration, and transit planning and financing. This paper presents a bootstrap super-data-envelopment analysis (DEA) model for route-level transit operational efficiency assessment. Differently from previous studies, the proposed model contributes to integrating the bootstrap method, a statistical inferring method of random resampling with replacement, with a super-DEA model, an extended DEA model of breaking ties in those efficient units, to improve the estimation precision and to overcome the problem of efficiency deviation in the case of small data set. The proposed model also features to generate an interval-based route efficiency estimates to prevent errors due to imperfect data and judgment mistakes. The proposed model has been applied to evaluating the efficiencies of 17 bus routes managed by the 3rd bus company in the city of Chongqing, China.
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References
Abreha, D. A. (2007). “Analysing public transport performance using efficiency measures and spatial analysis: The case study of Addis Ababa, Ethiopia.” M.S. thesis, International Institute for Geo-Information Science and Earth Observation, Enschede, Netherlands.
Andersen, P., and Petersen, N. C. (1993). “A procedure for ranking efficient units in data envelopment analysis.” Manage. Sci., 39(10), 1261–1264.
Avkiran, N. K. (2006). “Developing foreign bank efficiency models for DEA grounded in finance theory.” Socio-Econ. Plann. Sci., 40(4), 275–296.
Badami, M. G., and Haider, M. (2007). “An analysis of public bus transit performance in Indian cities.” Transp. Res. Part A: Policy Pract., 41(10), 961–981.
Boilé, M. P. (2001). “Estimating technical and scale inefficiencies of public transit systems.” J. Transp. Eng., 187–194.
Campos, V. B. G., Ramos, R. A. R., and de Miranda e Silva Correia, D. (2009). “Multi-criteria analysis procedure for sustainable mobility evaluation in urban areas.” J. Adv. Transp., 43(4), 371–390.
Charnes, A. C., Cooper, W. W., and Rhodes, E. L. (1978). “Measuring the efficiency of decision making units.” Eur. J. Oper. Res., 2(6), 429–444.
Cook, W. D., and Seiford, L. M. (2009). “Data envelopment analysis (DEA)—Thirty years on.” Eur. J. Oper. Res., 192(1), 1–17.
Cooper, W. W., Seiford, L. M., and Zhu, J. (2000). “A unified additive model approach for evaluating inefficiency and congestion with associated measures in DEA.” Socio-Econ. Plann. Sci., 34(1), 1–25.
Eboli, L., and Mazzulla, G. (2011). “A methodology for evaluating transit service quality based on subjective and objective measures from the passenger’s point of view.” Transp. Policy, 18(1), 172–181.
Efron, B., and Tibshirani, R. J. (1994). An introduction to the bootstrap, CRC Press, Boca Raton, FL.
Färe, R., and Grosskopf, S. (1996). “Productivity and intermediate products: A frontier approach.” Econ. Lett., 50(1), 65–70.
Färe, R., and Grosskopf, S. (2000). “Network DEA.” Socio-Econ. Plann. Sci., 34(1), 35–49.
Farrell, M. J. (1957). “The measurement of productive efficiency.” J. R. Stat. Soc., 120(3), 253–290.
FHWA and USDoT. (2016). “Financing federal-aid highways: The highway trust fund.” ⟨⟩ (Apr. 6, 2017).
FTA and USDoT. (2017). “The national transit database (NTD).” ⟨⟩ (Apr. 6, 2017).
Hahn, J. S., Kim, D. K., Kim, H. C., and Lee, C. (2013). “Efficiency analysis on bus companies in Seoul city using a network DEA model.” KSCE J. Civ. Eng., 17(6), 1480–1488.
Halme, M., Joro, T., Pekka, K., Salo, S., and Wallenius, J. (1999). “A value efficiency approach to incorporating preference information in data envelopment analysis.” Manage. Sci., 45(1), 103–115.
Hanaoka, P., and Kunadhamraks, P. (2009). “Multiple criteria and fuzzy based evaluation of logistics performance for intermodal transportation.” J. Adv. Transp., 43(2), 123–153.
Hassan, M. N., Hawas, Y. E., and Ahmed, K. (2013). “A multi-dimensional framework for evaluating the transit service performance.” Transp. Res. Part A: Policy Pract., 50, 47–61.
Hawas, Y. E., Khan, M. B., and Basu, N. (2012). “Evaluating and enhancing the operational performance of public bus systems using GIS-based data envelopment analysis.” J. Public Transp., 15(2), 19–44.
Horowitz, A. J., and Thompson, N. A. (1995). “Generic objectives for evaluation of intermodal passenger transfer facilities.” Transp. Res. Rec., 1503, 104–110.
Hwang, S. N., and Tong-Liang, K. (2006). “Measuring managerial efficiency in non-life insurance companies: An application of two-stage data envelopment analysis.” Int. J. Manage., 23(3), 699.
Karlaftis, M. G. (2004). “A DEA approach for evaluating the efficiency and effectiveness of urban transit systems.” Eur. J. Oper. Res., 152(2), 354–364.
Kerstens, K. (1996). “Technical efficiency measurement and explanation of French urban transit companies.” Transp. Res. Part A: Policy Pract., 30(6), 431–452.
Korostelev, A., Simar, L., and Tsybakov, A. B. (1995). “Efficient estimation of monotone boundaries.” Ann. Stat., 23(2), 476–489.
Lao, Y., and Liu, L. (2009). “Performance evaluation of bus lines with data envelopment analysis and geographic information systems.” Comp. Environ. Urban Syst., 33(4), 247–255.
Li, Y. (2014). “Beijing’s subsidy model for transportation isn’t sustainable.” China Daily, http://www.chinadaily.com.cn/opinion/2014-07/08/content_17663590.htm (Sep. 18, 2016).
Maghyereh, A. I., and Awartani, B. (2012). “Financial integration of GCC banking markets: A non-parametric bootstrap DEA estimation approach.” Res. Int. Bus. Finance, 26(2), 181–195.
Metropolitan Transportation Commission. (2017). “Statistical summary of Bay Area Transit operators.” ⟨⟩ (Apr. 6, 2017).
Nakanishi, Y. J., and Falcocchio, J. C. (2004). “Performance assessment of intelligent transportation systems using data envelopment analysis.” Res. Transp. Econ., 8, 181–197.
Nathanail, E. (2008). “Measuring the quality of service for passengers on the Hellenic railways.” Transp. Res. Part A: Policy Pract., 42(1), 48–66.
Neff, J., and Dickens, M. (2013). “Public transportation fact book.” American Public Transportation Association, Washington, DC.
Nolan, J. F., Ritchie, P. C., and Rowcroft, J. E. (2002). “Identifying and measuring public goals: ISTEA and the US bus transit industry.” J. Econ. Behav. Organiz., 48(3), 291–304.
Seiford, L. M., and Zhu, J. (1999). “Profitability and marketability of the top 55 U.S. commercial banks.” Manage. Sci., 45(9), 1270–1288.
Sexton, T. R., and Lewis, H. F. (2003). “Two-stage DEA: An application to Major League Baseball.” J. Productivity Anal., 19(2/3), 227–249.
Sheth, C., Triantis, K., and Teodorovic, D. (2007). “Performance evaluation of bus routes: A provider and passenger perspective.” Transp. Res. Part E, 43(4), 453–478.
Simar, L., and Wilson, P. (1998). “Sensitivity analysis of efficiency scores: How to bootstrap in non-parametric frontier models.” Manage. Sci., 44(1), 49–61.
Simar, L., and Wilson, P. (1999). “Productivity growth in industrialized countries.”, Institut de Statistique, Université Catholique de Louvain, Louvain-la-Neuve, Belgium.
Simar, L., and Wilson, P. (2000). “A general methodology for bootstrapping in non-parametric frontier models.” J. Appl. Stat., 27(6), 779–802.
Simar, L., and Wilson, P. (2004). “Performance of the bootstrap for DEA estimators and interesting principles.” Handbook on data envelopment analysis, W. Cooper, L. Seiford, and J. Zhu, eds., Springer, New York, 265–298.
Song, M. L., Zhang, L. L., Liu, W., and Fisher, R. (2013). “Bootstrap-DEA analysis of BRICs’ energy efficiency based on small sample data.” Appl. Energy, 112, 1049–1055.
Tortosa-Ausina, E., Armero, C., Conesa, D., and Grifell-Tatjé, E. (2012). “Bootstrapping profit change: An application to Spanish banks.” Comput. Oper. Res., 39(8), 1857–1871.
Transportation Research Board. (2003). “Transit capacity and quality of service manual.” Washington, DC.
Tyrinopoulos, Y., and Antoniou, C. (2008). “Public transit user satisfaction: Variability and policy implications.” Transp. Policy, 15(4), 260–272.
UITP (International Association of Public Transport). (2010). “Report on statistical indicators of public transport performance in Sub-Saharan Africa.” ⟨www.uitp.org⟩ (Sep. 15, 2016).
Wei, Q. L., and Chang, T. S. (2011). “Optimal profit-maximizing system design data envelopment analysis models.” Comput. Ind. Eng., 61(4), 1275–1284.
Wei, Z., Zhao, P., and AI, S. (2012). “Efficiency evaluation of Beijing intelligent traffic management system based on super-DEA.” Jiaotong Yunshu Xitong Gongcheng yu Xinxi, 12(3), 19–23.
Xu, L. H., and Lian, J. L. (2011). “Research on the evaluation of urban public transportation based on DEA.” Int. Conf. on Remote Sensing, Environment and Transportation Engineering, IEEE, New York, 8464–8467.
Yeh, C.-H., Deng, H. P., and Chang, Y.-H. (2000). “Fuzzy multi-criteria analysis for performance evaluation of bus companies.” Eur. J. Oper. Res., 126(3), 459–473.
Yu, J., Liu, Y., Chang, G. L., Ma, W., and Yang, X. (2011). “Locating urban transit hubs: Multicriteria model and case study in China.” J. Transp. Eng., 137(12), 944–952.
Zak, J., Jaszkiewicz, A., and Redmer, A. (2009). “Multiple criteria optimization method for the vehicle assignment problem in a bus transportation company.” J. Adv. Transp., 43(2), 203–243.
Zhu, J. (2003). Quantitative models for performance evaluation and benchmarking: Data envelopment analysis with spreadsheets and DEA Excel solver, Springer, Berlin.
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©2017 American Society of Civil Engineers.
History
Received: Jun 22, 2016
Accepted: Jan 24, 2017
Published online: May 4, 2017
Published in print: Sep 1, 2017
Discussion open until: Oct 4, 2017
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