Advertisement

KSCE Journal of Civil Engineering

, Volume 23, Issue 2, pp 850–865 | Cite as

Road Safety Evaluation using a Novel Cross Efficiency Method based on Double Frontiers DEA and Evidential Reasoning Approach

  • Seyedreza Seyedalizadeh GanjiEmail author
  • Amir Abbas Rassafi
Transportation Engineering

Abstract

Road crashes leading to death or severe injuries have long been a major public concern. Road safety specialists recently became interested in using decision-making methods to evaluate Road Safety Performance (RSP). In this regard, Data Envelopment Analysis (DEA) has been frequently implemented as an effective tool for analyzing RSP. It is noteworthy that RSP has always been measured by taking into account only the efficient frontier (called optimistic DEA), but RSP can also be measured based on the anti-efficient frontier (called pessimistic DEA). In addition, Cross Efficiency Method (CEM) is now known as an effective DEA-based approach for unique ranking of Decision-Making Units (DMUs). CEM typically uses a linear average method to aggregate target DMUs, which does not reflect the preference structure of Decision Makers (DMs). It was recently argued that a nonlinear method of aggregation, Evidential Reasoning Approach (ERA), can appropriately reflect DM’s preference structure. Therefore, this study aims to present a Double-Frontier CEM aggregated by ERA (called DF-CEM-ERA) in order to evaluate RSP, taking into account the DM’s preference structure. To illustrate the implementation process of ERA in aggregating the cross efficiency and anti-efficiency matrices, two evaluation case studies on RSP are presented.

Keywords

Road Safety Performance (RSP) Data Envelopment Analysis (DEA) Double-Frontier Cross-Efficiency Method (DF-CEM) Evidential Reasoning Approach (ERA) 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Awasthi, A. and Chauhan, S. S. (2011). “Using AHP and Dempstere Shafer theory for evaluating sustainable transport solutions.” Environmental Modelling and Software, Vol. 26, pp. 787–796, Doi: 10.1016/j.envsoft.2010.11.010.Google Scholar
  2. Ayati, E., Pirayesh-Neghab, M. A., Sadeghi, A. A., and Mohammadzadeh-Moghaddam, A. (2012). “Introducing roadside hazard severity indicator based on evidential reasoning approach.” Safety Science, Vol. 50, No. 7, pp. 1618–1626, DOI: 10.1016/j.ssci.2012.03.023.Google Scholar
  3. Azizi, H. (2011). “The interval efficiency based on the optimistic and pessimistic points of view.” Applied Mathematical Modelling, Vol. 35, No. 5, pp. 2384–2393, DOI: 10.1016/j.apm.2010.11.055.MathSciNetzbMATHGoogle Scholar
  4. Azizi, H. (2014). “DEA efficiency analysis: A DEA approach with double frontiers.” International Journal of Systems Science, Vol. 45, No. 11, pp. 2289–230, DOI: 10.1080/00207721.2013.768715.MathSciNetzbMATHGoogle Scholar
  5. Azizi, H. and Fathi Ajirlu, S. (2010). “Measurement of overall performances of decision-making units using ideal and anti-ideal decision-making units.” Computers & Industrial Engineering, Vol. 59, No. 3, pp. 411–418, DOI: 10.1016/j.cie.2010.05.013.Google Scholar
  6. Banker, R, D., Charnes, A., and Cooper, W. W. (1984). “Some models for estimating technical and scale efficiencies in data envelopment analysis.” Management Science, Vol. 30, No. 9, pp. 1078–92, DOI: 10.1287/mnsc.30.9.1078.zbMATHGoogle Scholar
  7. Barros, C. P. (2006). “A benchmark analysis of Italian seaports using data envelopment analysis.” Maritime Economics & Logistics, Vol. 8, No. 4, pp. 347–365, DOI: 10.1057/palgrave.mel.9100163.Google Scholar
  8. Barros, C. P. and Dieke, P. U. C. (2007). “Performance evaluation of Italian airports: A data envelopment analysis.” Journal of Air Transport Management, Vol. 13, No. 4, pp. 184–191, DOI: 10.1016/j.jairtraman.2007.03.001.Google Scholar
  9. Barros, C. P. and Dieke, P. U. C. (2008). “Measuring the economic efficiency of airports: A Simar–Wilson methodology analysis.” Transportation Research Part E, Vol. 44, No. 6, pp. 1039–1051, DOI: 10.1016/j.tre.2008.01.001.Google Scholar
  10. Bastos, J. T., Shen, Y., Hermans, E., Brijs, T., Wets, G., and Ferraz, A. C. P. (2015). “Traffic fatality indicators in Brazil: State diagnosis based on data envelopment analysis research.” Accident Analysis and Prevention, Vol. 81, pp. 61–73, DOI: 10.1016/j.aap.2015.01.024.Google Scholar
  11. Behnood, H. R., Ayati, E. Hermans, E., and Pirayesh Neghab, M. A. (2014). “The road safety performance evaluation and policy making by data envelopment analysis: A case study of provincial data in Iran.” Scientia Iranica A, Vol. 21, No. 5, pp. 1515–1528.Google Scholar
  12. Belton, V. and Stewart, T. (2002). “Multiple criteria decision analysis: An integrated approach.” Springer Science & Business Media, Berlin. DOI: 10.1007/978-1-4615-1495-4.Google Scholar
  13. Beynon, M. (2002). “DS/AHP method: A mathematical analysis, including an understanding of uncertainty.” European Journal of Operational Research, Vol. 140, No. 1, pp. 148–164, DOI: 10.1016/S0377-2217 (01)00230-2.zbMATHGoogle Scholar
  14. Buchanan, B. G. and Shortliffe, E. H. (1984). “Rule-based expert system.” Reading, MA: Addison-Wesley, DOI: 10.1007/978-3-642-21004-4_7.Google Scholar
  15. Cao, J., Chen, G., Khoveyni, M., Eslami, R., and Yang, G-Liang. (2016). “Specification of a performance indicator using the Evidential-Reasoning approach.” Knowledge-Based Systems, Vol. 92, No. 15, pp. 138–150, DOI: 10.1016/j.knosys.2015.10.023.Google Scholar
  16. Chang, Y.-T., Zhang, N., Danao, D., and Zhang, N. (2013). “Environmental efficiency analysis of transportation system in China: A non-radial DEA approach.” Energy Policy, Vol. 58, pp. 277–283, DOI: 10.1016/j.enpol.2013.03.011.Google Scholar
  17. Charnes, A., Cooper, W. W., and Rhodes, E. (1978). “Measuring the efficiency of decision making units.” European Journal of Operational Research, Vol. 2, No. 6, pp. 429–444, DOI: 10.1016/0377-2217(78) 90138–8.MathSciNetzbMATHGoogle Scholar
  18. Cherchye, L., Moesen,W., Rogge, N., Van Puyenbroeck, T., Saisana, M., Saltelli, A., Liska, R., and Tarantola, S. (2006). “Creating composite indicators with DEA and robustness analysis: The case of the technology achievement index.” Catholic University of Leuven and Joint Research Centre.zbMATHGoogle Scholar
  19. Cherchye, L., Moesen, W., Rogge, N., Van Puyenbroeck, T., Saisana, M., Saltelli, A., Liska, R., and Tarantola, S. (2008). “Creating composite indicators with DEA and robustness analysis: The case of the Technology Achievement Index.” Journal of the Operational Research Society, Vol. 59, No. 2, pp. 239–251, DOI: 10.1057/palgrave.jors.2602445.zbMATHGoogle Scholar
  20. Curi, C., Gitto, S., and Mancuso, P. (2010). “The Italian airport industry in transition: A performance analysis.” Journal of Air Transport Management, Vol. 16, No. 4, pp. 218–221, DOI: 10.1016/j.jairtraman.2009.11.001.Google Scholar
  21. Dempster, A. P. (1967). “Upper and lower probabilities induced by a multi-valued mapping.” Annals of Mathematical Statistics, Vol. 38, No. 2, pp. 325–339, DOI: 10.1007/978-3-540-44792-4_3.MathSciNetzbMATHGoogle Scholar
  22. Doyle, J. and Green, R. (1994). “Efficiency and cross-efficiency in DEA: Derivations, meanings and uses.” Journal of the Operational Research Society, Vol. 45, No. 5, pp. 567–578, DOI: 10.1057/jors.1994.84.zbMATHGoogle Scholar
  23. Egilmez, G. and McAvoy, D. (2013). “Benchmarking road safety of U.S. states: A DEA-based Malmquist productivity index approach.” Accident Analysis and Prevention, Vol. 53, pp. 55–64, DOI: 10.1016/j.aap.2012.12.038.Google Scholar
  24. Ganji, S. S., Rassafi, A. A., and Kordani, A. A. (2018). “Vehicle safety analysis based on a hybrid approach integrating DEMATEL, ANP and ER.” KSCE Journal of Civil Engineering, Vol. 22, No. 11, pp. 4580–4592, DOI: 10.1007/s1220.Google Scholar
  25. Hermans, E., Brijs, T., Wets, G., and Vanhoof, K. (2009). “Benchmarking road safety: Lessons to learn from a data envelopment analysis.” Accident Analysis and Prevention, Vol. 41, No. 1, pp. 174–182, DOI: 10.1016/j.aap.2008.10.010.Google Scholar
  26. Hermans, E., Van den Bossche, F., and Wets, G. (2008). “Combining road safety information in a performance index.” Accident Analysis and Prevention, Vol. 40, No. 4, pp. 1337–1344, DOI: 10.1016/j.aap.2008.02.004.Google Scholar
  27. Hua, Z., Gong, B., and Xu, X. (2008). “A DS–AHP approach for multiattribute decision making problem with incomplete information.” Expert Systems with Applications, Vol. 34, No. 3, pp. 2221–2227, DOI: 10.1016/j.eswa.2007.02.021.Google Scholar
  28. Jain, P., Cullinane, S., and Cullinane, K. (2008). “The impact of governance development models on urban rail efficiency.” Transportation Research Part A, Vol. 42, No. 9, pp. 1238–1250, DOI: 10.1016/j.tra.2008.03.012.Google Scholar
  29. Karlaftis, M. G. (2004). “A DEA approach for evaluating the efficiency and effectiveness of urban transit systems.” European Journal of Operation Research, Vol. 152, No. 2, pp. 354–364, DOI: 10.1016/S0377-2217(03)00029-8.MathSciNetzbMATHGoogle Scholar
  30. Murphy, C. K. (2000). “Combining belief functions when evidence conflicts.” Decision Support System, Vol, 29, No. 1, pp. 1–9, DOI: 10.1016/S0167-9236(99)00084-6.Google Scholar
  31. Odeck, J. (2000). “Assessing the relative efficiency and productivity growth of vehicle inspection services: An application of DEA and Malmquist indices.” European Journal of Operational Research, Vol. 126, No. 3, pp. 501–514, DOI: 10.1016/S0377-2217(99)00305-7.zbMATHGoogle Scholar
  32. Odeck, J. (2006). “Identifying traffic safety best practice: An application of DEA and Malmquist indices.” Omega, Vol. 34, No. 1, pp. 28–40, DOI: 10.1016/j.omega.2004.07.017.Google Scholar
  33. Rassafi, A. A., Ganji, S. S., and Purkhani, H. (2018). “Road safety assessment under uncertainty using a Multi Attribute Decision Analysis based on Dempster–Shafer theory.” KSCE Journal of Civil Engineering, Vol. 22, No. 8, pp. 3137–3152, DOI: 10.1007/s12205-017-1854-5.Google Scholar
  34. Rosi, M., Pesi, D., Kuki, D., Anti, B., and Bozovi, M. (2017). “Method for selection of optimal road safety composite index with examples from DEA and TOPSIS method.” Accident Analysis and Prevention, Vol. 98, pp. 277–286, DOI: 10.1016/j.aap.2016.10.007.Google Scholar
  35. Sarkis, J. and Talluri, S. (2004). “Performance based clustering for benchmarking of US airports.” Transportation Research Part A, Vol. 38, No. 5, pp. 329–346, DOI: 10.1016/j.tra.2003.11.001.zbMATHGoogle Scholar
  36. Sexton, T. R., Silkman, R. H., and Hogan, A. J. (1986). “Data envelopment analysis: Critique and extensions.” New Directions for Evaluations, Vol. 1986, No. 32, pp. 73–105, DOI: 10.1002/ev.1441.Google Scholar
  37. Shafer, G. (1976). A mathematical theory of evidence, Princeton University Press, Princeton, NJ.zbMATHGoogle Scholar
  38. Shen, Y., Hermans, E., Bao, Q., Brijs, T., and Wets, G. (2013). “Road safety development in Europe: A decade of changes (2001-2010).” Accident Analysis and Prevention, Vol. 60, pp. 85–94, DOI: 10.1016/j.aap.2013.08.013.Google Scholar
  39. Shen, Y., Hermans, E., Brijs, T., Wets, G., and Vanhoof, K. (2012). “Road safety risk evaluation and target setting using data envelopment analysis and its extensions.” Accident Analysis and Prevention, Vol. 48, pp. 430–441, DOI: 10.1016/j.aap.2012.02.020.Google Scholar
  40. Shen, Y., Hermans, E., Ruan, D., Wets, G., Brijs, T., and Vanhoof, K. (2011). “A generalized multiple layer data envelopment analysis model for hierarchical structure assessment: A case study in road safety performance evaluation.” Expert Systems with Applications, Vol. 38, No. 12, pp. 15262–15272, DOI: 10.1016/j.eswa.2011.05.073.Google Scholar
  41. Wang, Y. M. and Elhag-Taha, M. S. (2008). “Evidential reasoning approach for bridge condition assessment.” Expert Systems with Applications, Vol. 34, No. 1, pp. 689–699, DOI: 10.1016/j.eswa.2006.10.006.Google Scholar
  42. Wang, J., Yang, J. B., and Sen, P. (1995). “Safety analysis and synthesis using fuzzy sets and evidential reasoning.” Reliability Engineering and System Safety, Vol. 47, No. 2, pp. 103–118, DOI: 10.1016/0951-8320(94)00053-Q.Google Scholar
  43. Wang, J., Yang, J. B., and Sen, P. (1996). “Multi-person and multiattribute design evaluations using evidential reasoning based on subjective safety and cost analysis.” Reliability Engineering and System Safety, Vol. 52, Nov. 2, pp. 113–127, DOI: 10.1016/0951-8320(96)00003-8.Google Scholar
  44. World Health Organization (2015). Global status report on road safety. https://doi.org/apps.who.int/iris/bitstream/10665/44122/1/9789241563840_eng.pdf.
  45. Wu, J., Yan, H., and Liu, J. (2009). “Groups in DEA based crossevaluation: An application to Asian container ports.” Maritime Policy and Management, Vol. 36, No. 6, pp. 545–558, DOI: 10.1080/03088830903346095.Google Scholar
  46. Yang, J. B. and Sen, P. (1994). “A general multi-level evaluation process for hybrid MADM with uncertainty.” IEEE Transactions on Systems, Man, and Cybernetics, Vol. 24, No. 10, pp. 1458–1473, DOI: 10.1109/21.310529.Google Scholar
  47. Yang, J. B. and Singh, M. G. (1994). “An evidential reasoning approach for multiple attribute decision making with uncertainty.” IEEE Transactions on Systems, Man, and Cybernetics, Vol. 24, No. 1, pp. 1–18, DOI: 10.1109/21.259681.Google Scholar
  48. Yang, J. B. and Xu, D. L. (2002). “On the evidential reasoning algorithm for multiple attribute decision analysis under uncertainty.” IEEE Transactions on Systems, Man, and Cybernetics—Part A, Vol. 32, No. 2, pp. 289–304, DOI: 10.1109/TSMCA.2002.802746.Google Scholar
  49. Yang, G. L., Yang, J. B., Liu, W. B., and Li, X. X. (2013). “Cross-efficiency aggregation in DEA models using the evidential reasoning approach.” European Journal of Operational Research, Vol. 231, No. 2, pp. 393–404, DOI: 10.1016/j.ejor.2013.05.017.MathSciNetzbMATHGoogle Scholar
  50. Zadeh, L. A. (1984). “Review of books: A mathematical theory of evidence.” AI Magazine, Vol. 5, No. 3, pp. 81–83, file:///C:/Users/ALIZADEH%20GANJI/Downloads/452-452-1-PB.pdf.Google Scholar

Copyright information

© Korean Society of Civil Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Seyedreza Seyedalizadeh Ganji
    • 1
    Email author
  • Amir Abbas Rassafi
    • 1
  1. 1.Dept. of Transportation, Faculty of EngineeringImam Khomeini International UniversityQazvinIran

Personalised recommendations