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Radial and nonradial static efficiency decompositions: a focus on congestion measurement

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  • Dervaux, Benoît
  • Kerstens, Kristiaan
  • Vanden Eeckaut, Philippe

Abstract

We summarize and extend the existing frontier literature by outlining proper ways of decomposing efficiency using both radial and nonradial efficiency measures when using nonparametric, deterministic frontier models. Our contribution relates to a recent paper of Viton (Transportation Research-B 31, 23-39, 1997) analysing the efficiency of U.S. multi-mode bus transit systems. In particular, the author evaluates the technical efficiency, congestion and scale properties of these companies. Due to a methodological mistake he could not detect congestion in his sample. Our proposals remedy this problem and focus on the underexplored issue of proper congestion measurement in general and in transport in particular.

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  • Dervaux, Benoît & Kerstens, Kristiaan & Vanden Eeckaut, Philippe, 1998. "Radial and nonradial static efficiency decompositions: a focus on congestion measurement," Transportation Research Part B: Methodological, Elsevier, vol. 32(5), pages 299-312, June.
    • Handle: RePEc:eee:transb:v:32:y:1998:i:5:p:299-312
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    2. Mehdiloozad, Mahmood & Podinovski, Victor V., 2018. "Nonparametric production technologies with weakly disposable inputs," European Journal of Operational Research, Elsevier, vol. 266(1), pages 247-258.
    3. KERSTENS , Kristiaan & VANDEN EECKAUT, Philippe, 1998. "Distinguishing technical and scale efficiency on non-convex and convex technologies: theoretical analysis and empirical illustrations," LIDAM Discussion Papers CORE 1998055, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Sun, Qinghe & Chen, Li & Meng, Qiang, 2022. "Evaluating port efficiency dynamics: A risk-based approach," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 333-347.
    5. Barros, Carlos P. & Bin Liang, Qi & Peypoch, Nicolas, 2013. "The efficiency of French regional airports: An inverse B-convex analysis," International Journal of Production Economics, Elsevier, vol. 141(2), pages 668-674.
    6. Rolf Färe & Giannis Karagiannis, 2024. "The denominator rule with unit ratio difference," Journal of Productivity Analysis, Springer, vol. 61(2), pages 183-190, April.
    7. Färe, Rolf & Karagiannis, Giannis, 2017. "The denominator rule for share-weighting aggregation," European Journal of Operational Research, Elsevier, vol. 260(3), pages 1175-1180.
    8. Mehdiloo, Mahmood & Podinovski, Victor V., 2019. "Selective strong and weak disposability in efficiency analysis," European Journal of Operational Research, Elsevier, vol. 276(3), pages 1154-1169.
    9. Laurent Cavaignac & Romain Petiot, 2016. "A Quarter Century of Data Envelopment Analysis Applied to the Transport Sector: A Bibliometric Analysis," Post-Print hal-02395215, HAL.
    10. Guan Zhengfei & Alfons Oude Lansink, 2003. "Input Disposability and Efficiency in Dutch Arable Farming," Journal of Agricultural Economics, Wiley Blackwell, vol. 54(3), pages 467-478, November.
    11. Cavaignac, Laurent & Petiot, Romain, 2017. "A quarter century of Data Envelopment Analysis applied to the transport sector: A bibliometric analysis," Socio-Economic Planning Sciences, Elsevier, vol. 57(C), pages 84-96.
    12. Cullinane, Kevin & Wang, Teng-Fei & Song, Dong-Wook & Ji, Ping, 2006. "The technical efficiency of container ports: Comparing data envelopment analysis and stochastic frontier analysis," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(4), pages 354-374, May.
    13. Gonzalez, Eduardo & Alvarez, Antonio, 2001. "From efficiency measurement to efficiency improvement: The choice of a relevant benchmark," European Journal of Operational Research, Elsevier, vol. 133(3), pages 512-520, September.
    14. Chen, Xiaodong & Guo, Anda & Miao, Zhuang & Zhu, Pengyu, 2024. "Assessing the performance of the transport sector within the global supply chain context: Decomposition of energy and environmental productivity," Applied Energy, Elsevier, vol. 358(C).
    15. Odeck, James, 2006. "Congestion, ownership, region of operation, and scale: Their impact on bus operator performance in Norway," Socio-Economic Planning Sciences, Elsevier, vol. 40(1), pages 52-69, March.

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