IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v351y2025i2d10.1007_s10479-024-06142-x.html
   My bibliography  Save this article

Navigating Efficiency: Insights from One-Stage and Two-Stage DEA Modeling in the Airline Industry

Author

Listed:
  • Dariush Khezrimotlagh

    (Pennsylvania State University)

  • Sepideh Kaffash

    (Suffolk University)

Abstract

Data envelopment analysis (DEA) has widely been used for airline efficiencies. Among the studies, two common approaches are considered. One approach assumes an airline as one system of inputs and outputs. The other approach, which is more preferable in the literature, assumes an airline as a two-stage network (2SN) system of inputs, intermediates, and outputs, where intermediates are outputs of the first stage and inputs of the second stage. There are also two different views when an airline is introduced as a 2SN system. The pre-view of a 2SN system relies on unobserved units whereas the post-view relies on the observed units only. In this study, we discuss the performance of eight US airlines for two decades (2001–2021) using these three approaches. We suggest the post-view of the 2SN system to represent US airlines; nevertheless, we investigate whether assuming an airline as one system or as a 2SN system with both pre- and post-views results in meaningful differences. We use a windows analysis approach to measure the overall average performance of each airline over time. Furthermore, we examine the impact of varying window lengths on both one-stage and two-stage DEA to determine if the length of the windows affects the overall efficiency score. Statistical findings highlight remarkable consistency among the three mentioned approaches. When examining the effects of windows lengths on the performance of airlines, one-stage DEA consistently maintains its efficiency scores across variations. Two-stage DEA is fairly consistent, with minor fluctuations in efficiency scores across various windows lengths.

Suggested Citation

  • Dariush Khezrimotlagh & Sepideh Kaffash, 2025. "Navigating Efficiency: Insights from One-Stage and Two-Stage DEA Modeling in the Airline Industry," Annals of Operations Research, Springer, vol. 351(2), pages 1451-1487, August.
  • Handle: RePEc:spr:annopr:v:351:y:2025:i:2:d:10.1007_s10479-024-06142-x
    DOI: 10.1007/s10479-024-06142-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-024-06142-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10479-024-06142-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Fare, Rolf & Grosskopf, Shawna, 1996. "Productivity and intermediate products: A frontier approach," Economics Letters, Elsevier, vol. 50(1), pages 65-70, January.
    2. Mahmoudi, Reza & Emrouznejad, Ali & Shetab-Boushehri, Seyyed-Nader & Hejazi, Seyed Reza, 2020. "The origins, development and future directions of data envelopment analysis approach in transportation systems," Socio-Economic Planning Sciences, Elsevier, vol. 69(C).
    3. Khezrimotlagh, Dariush & Kaffash, Sepideh & Zhu, Joe, 2022. "U.S. airline mergers’ performance and productivity change," Journal of Air Transport Management, Elsevier, vol. 102(C).
    4. Choi, Kanghwa, 2017. "Multi-period efficiency and productivity changes in US domestic airlines," Journal of Air Transport Management, Elsevier, vol. 59(C), pages 18-25.
    5. Aparicio, Juan & Cordero, Jose M. & Ortiz, Lidia, 2019. "Measuring efficiency in education: The influence of imprecision and variability in data on DEA estimates," Socio-Economic Planning Sciences, Elsevier, vol. 68(C).
    6. Kneip, Alois & Simar, Léopold & Wilson, Paul W., 2008. "Asymptotics And Consistent Bootstraps For Dea Estimators In Nonparametric Frontier Models," Econometric Theory, Cambridge University Press, vol. 24(6), pages 1663-1697, December.
    7. Cui, Qiang & Hu, Yu-xin & Yu, Li-ting, 2022. "Can the aviation industry achieve carbon emission reduction and revenue growth simultaneously under the CNG2020 strategy? An empirical study with 25 benchmarking airlines," Energy, Elsevier, vol. 245(C).
    8. De Borger, Bruno & Kerstens, Kristiaan, 1996. "Cost efficiency of Belgian local governments: A comparative analysis of FDH, DEA, and econometric approaches," Regional Science and Urban Economics, Elsevier, vol. 26(2), pages 145-170, April.
    9. Min, Hokey & Joo, Seong-Jong, 2016. "A comparative performance analysis of airline strategic alliances using data envelopment analysis," Journal of Air Transport Management, Elsevier, vol. 52(C), pages 99-110.
    10. Yakath Ali, Nurul Syuhadah & Yu, Chunyan & See, Kok Fong, 2021. "Four decades of airline productivity and efficiency studies: A review and bibliometric analysis," Journal of Air Transport Management, Elsevier, vol. 96(C).
    11. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    12. Kao, Chiang & Hwang, Shiuh-Nan, 2008. "Efficiency decomposition in two-stage data envelopment analysis: An application to non-life insurance companies in Taiwan," European Journal of Operational Research, Elsevier, vol. 185(1), pages 418-429, February.
    13. Toloo, Mehdi & Mensah, Emmanuel Kwasi & Salahi, Maziar, 2022. "Robust optimization and its duality in data envelopment analysis," Omega, Elsevier, vol. 108(C).
    14. Halkos, George & Petrou, Kleoniki Natalia, 2019. "Treating undesirable outputs in DEA: A critical review," Economic Analysis and Policy, Elsevier, vol. 62(C), pages 97-104.
    15. Saranga, Haritha & Nagpal, Rajiv, 2016. "Drivers of operational efficiency and its impact on market performance in the Indian Airline industry," Journal of Air Transport Management, Elsevier, vol. 53(C), pages 165-176.
    16. Duygun, Meryem & Prior, Diego & Shaban, Mohamed & Tortosa-Ausina, Emili, 2016. "Disentangling the European airlines efficiency puzzle: A network data envelopment analysis approach," Omega, Elsevier, vol. 60(C), pages 2-14.
    17. Barros, Carlos Pestana & Peypoch, Nicolas, 2009. "An evaluation of European airlines' operational performance," International Journal of Production Economics, Elsevier, vol. 122(2), pages 525-533, December.
    18. Daraio, Cinzia & Kerstens, Kristiaan & Nepomuceno, Thyago & Sickles, Robin C., 2019. "Empirical Surveys of Frontier Applications: A Meta-Review," Working Papers 19-005, Rice University, Department of Economics.
    19. Cui, Qiang & Li, Ye, 2015. "Evaluating energy efficiency for airlines: An application of VFB-DEA," Journal of Air Transport Management, Elsevier, vol. 44, pages 34-41.
    20. Ila Alam & Robin Sickles, 1998. "The Relationship Between Stock Market Returns and Technical Efficiency Innovations: Evidence from the US Airline Industry," Journal of Productivity Analysis, Springer, vol. 9(1), pages 35-51, January.
    21. Fan, Yanqin & Li, Qi & Weersink, Alfons, 1996. "Semiparametric Estimation of Stochastic Production Frontier Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(4), pages 460-468, October.
    22. Good, David H. & Roller, Lars-Hendrik & Sickles, Robin C., 1995. "Airline efficiency differences between Europe and the US: Implications for the pace of EC integration and domestic regulation," European Journal of Operational Research, Elsevier, vol. 80(3), pages 508-518, February.
    23. repec:eme:aiae11:s2212-160920160000005012 is not listed on IDEAS
    24. Lawrence M. Seiford & Joe Zhu, 1999. "Profitability and Marketability of the Top 55 U.S. Commercial Banks," Management Science, INFORMS, vol. 45(9), pages 1270-1288, September.
    25. Bo Zou & Irene Kwan & Mark Hansen & Dan Rutherford & Nabin Kafle, 2016. "Airline Fuel Efficiency: Assessment Methodologies and Applications in the U.S. Domestic Airline Industry," Advances in Airline Economics, in: Airline Efficiency, volume 5, pages 317-353, Emerald Group Publishing Limited.
    26. Yuan Xu & Yong Shin Park & Ju Dong Park & Wonjoo Cho, 2021. "Evaluating the environmental efficiency of the U.S. airline industry using a directional distance function DEA approach," Journal of Management Analytics, Taylor & Francis Journals, vol. 8(1), pages 1-18, January.
    27. Emrouznejad, Ali & Parker, Barnett R. & Tavares, Gabriel, 2008. "Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years of scholarly literature in DEA," Socio-Economic Planning Sciences, Elsevier, vol. 42(3), pages 151-157, September.
    28. Isabel Narbón-Perpiñá & Maria Teresa Balaguer-Coll & Marko Petrović & Emili Tortosa-Ausina, 2020. "Which estimator to measure local governments’ cost efficiency? The case of Spanish municipalities," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 11(1), pages 51-82, March.
    29. Cook, Wade D. & Liang, Liang & Zhu, Joe, 2010. "Measuring performance of two-stage network structures by DEA: A review and future perspective," Omega, Elsevier, vol. 38(6), pages 423-430, December.
    30. Hahn, G.J. & Brandenburg, M. & Becker, J., 2021. "Valuing supply chain performance within and across manufacturing industries: A DEA-based approach," International Journal of Production Economics, Elsevier, vol. 240(C).
    31. Li, Ye & Wang, Yan-zhang & Cui, Qiang, 2015. "Evaluating airline efficiency: An application of Virtual Frontier Network SBM," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 81(C), pages 1-17.
    32. Chen, Yao & Cook, Wade D. & Zhu, Joe, 2010. "Deriving the DEA frontier for two-stage processes," European Journal of Operational Research, Elsevier, vol. 202(1), pages 138-142, April.
    33. Tavassoli, Mohammad & Faramarzi, Gholam Reza & Farzipoor Saen, Reza, 2014. "Efficiency and effectiveness in airline performance using a SBM-NDEA model in the presence of shared input," Journal of Air Transport Management, Elsevier, vol. 34(C), pages 146-153.
    34. Dariush Khezrimotlagh & Joe Zhu, 2023. "The role of unobserved units in two-stage network data envelopment analysis," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 74(5), pages 1275-1285, May.
    35. Oleg Badunenko & Daniel J. Henderson & Subal C. Kumbhakar, 2012. "When, where and how to perform efficiency estimation," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 175(4), pages 863-892, October.
    36. Ferrier, Gary D. & Lovell, C. A. Knox, 1990. "Measuring cost efficiency in banking : Econometric and linear programming evidence," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 229-245.
    37. Emili Tortosa-Ausina, 2002. "Bank Cost Efficiency and Output Specification," Journal of Productivity Analysis, Springer, vol. 18(3), pages 199-222, November.
    38. Fecri Karanki, 2023. "The impact of airline business models on excess capacity," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 44(6), pages 3556-3571, September.
    39. Yang, Mian & Hou, Yaru & Ji, Qiang & Zhang, Dayong, 2020. "Assessment and optimization of provincial CO2 emission reduction scheme in China: An improved ZSG-DEA approach," Energy Economics, Elsevier, vol. 91(C).
    40. Bhadra, Dipasis, 2009. "Race to the bottom or swimming upstream: Performance analysis of US airlines," Journal of Air Transport Management, Elsevier, vol. 15(5), pages 227-235.
    41. Resti, Andrea, 1997. "Evaluating the cost-efficiency of the Italian Banking System: What can be learned from the joint application of parametric and non-parametric techniques," Journal of Banking & Finance, Elsevier, vol. 21(2), pages 221-250, February.
    42. Lee, Boon L. & Worthington, Andrew C., 2014. "Technical efficiency of mainstream airlines and low-cost carriers: New evidence using bootstrap data envelopment analysis truncated regression," Journal of Air Transport Management, Elsevier, vol. 38(C), pages 15-20.
    43. Carol C. Huang & Chris C. Hsu & Emilio Collar, 2021. "An Evaluation of the Operational Performance and Profitability of the U.S. Airlines," International Journal of Global Business and Competitiveness, Springer, vol. 16(2), pages 73-85, December.
    44. Lihui Wu & Da Ma & Jinling Li, 2023. "Assessment of the Regional Vulnerability to Natural Disasters in China Based on DEA Model," Sustainability, MDPI, vol. 15(14), pages 1-12, July.
    45. Zhiyong Li & Chen Feng & Ying Tang, 2022. "Bank efficiency and failure prediction: a nonparametric and dynamic model based on data envelopment analysis," Annals of Operations Research, Springer, vol. 315(1), pages 279-315, August.
    46. Chen, Zhongfei & Tzeremes, Panayiotis & Tzeremes, Nickolaos G., 2018. "Convergence in the Chinese airline industry: A Malmquist productivity analysis," Journal of Air Transport Management, Elsevier, vol. 73(C), pages 77-86.
    47. Cheng, Kuangnen, 2010. "Evaluation of US legacy airline distribution strategies," Journal of Air Transport Management, Elsevier, vol. 16(6), pages 337-339.
    48. Sepideh Kaffash & Marianna Marra, 2017. "Data envelopment analysis in financial services: a citations network analysis of banks, insurance companies and money market funds," Annals of Operations Research, Springer, vol. 253(1), pages 307-344, June.
    49. Kottas, Angelos T. & Madas, Michael A., 2018. "Comparative efficiency analysis of major international airlines using Data Envelopment Analysis: Exploring effects of alliance membership and other operational efficiency determinants," Journal of Air Transport Management, Elsevier, vol. 70(C), pages 1-17.
    50. Wang, Wei-Kang & Lu, Wen-Min & Tsai, Chia-Jen, 2011. "The relationship between airline performance and corporate governance amongst US Listed companies," Journal of Air Transport Management, Elsevier, vol. 17(2), pages 148-152.
    51. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    52. Barros, Carlos Pestana & Couto, Eduardo, 2013. "Productivity analysis of European airlines, 2000–2011," Journal of Air Transport Management, Elsevier, vol. 31(C), pages 11-13.
    53. Laurent Weill, 2004. "Measuring Cost Efficiency in European Banking: A Comparison of Frontier Techniques," Journal of Productivity Analysis, Springer, vol. 21(2), pages 133-152, March.
    54. Ane Elixabete Ripoll-Zarraga & Sebastián Lozano, 2020. "A centralised DEA approach to resource reallocation in Spanish airports," Annals of Operations Research, Springer, vol. 288(2), pages 701-732, May.
    55. Merkert, Rico & Williams, George, 2013. "Determinants of European PSO airline efficiency – Evidence from a semi-parametric approach," Journal of Air Transport Management, Elsevier, vol. 29(C), pages 11-16.
    56. Liang Liang & Wade D. Cook & Joe Zhu, 2008. "DEA models for two‐stage processes: Game approach and efficiency decomposition," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(7), pages 643-653, October.
    57. Veronique Distexhe & Sergio Perelman, 1994. "Technical Efficiency and Productivity Growth in an Era of Deregulation: the Case of Airlines," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 130(IV), pages 669-689, December.
    58. Jorge Antunes & Abdollah Hadi-Vencheh & Ali Jamshidi & Yong Tan & Peter Wanke, 2022. "Bank efficiency estimation in China: DEA-RENNA approach," Annals of Operations Research, Springer, vol. 315(2), pages 1373-1398, August.
    59. Mallikarjun, Sreekanth, 2015. "Efficiency of US airlines: A strategic operating model," Journal of Air Transport Management, Elsevier, vol. 43(C), pages 46-56.
    60. Carla Oliveira Henriques & Maria Elisabete Neves & Licínio Castelão & Duc Khuong Nguyen, 2022. "Assessing the performance of exchange traded funds in the energy sector: a hybrid DEA multiobjective linear programming approach," Annals of Operations Research, Springer, vol. 313(1), pages 341-366, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kottas, Angelos T. & Madas, Michael A., 2018. "Comparative efficiency analysis of major international airlines using Data Envelopment Analysis: Exploring effects of alliance membership and other operational efficiency determinants," Journal of Air Transport Management, Elsevier, vol. 70(C), pages 1-17.
    2. Kaya, Gizem & Aydın, Umut & Ülengin, Burç & Karadayı, Melis Almula & Ülengin, Füsun, 2023. "How do airlines survive? An integrated efficiency analysis on the survival of airlines," Journal of Air Transport Management, Elsevier, vol. 107(C).
    3. Li, Ye & Wang, Yan-zhang & Cui, Qiang, 2016. "Has airline efficiency affected by the inclusion of aviation into European Union Emission Trading Scheme? Evidences from 22 airlines during 2008–2012," Energy, Elsevier, vol. 96(C), pages 8-22.
    4. Voltes-Dorta, Augusto & Britto, Rodrigo & Wilson, Bradley, 2024. "Efficiency of global airlines incorporating sustainability objectives: A Malmquist-DEA approach," Journal of Air Transport Management, Elsevier, vol. 119(C).
    5. Seufert, Juergen Heinz & Arjomandi, Amir & Dakpo, K. Hervé, 2017. "Evaluating airline operational performance: A Luenberger-Hicks-Moorsteen productivity indicator," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 104(C), pages 52-68.
    6. Yakath Ali, Nurul Syuhadah & Yu, Chunyan & See, Kok Fong, 2021. "Four decades of airline productivity and efficiency studies: A review and bibliometric analysis," Journal of Air Transport Management, Elsevier, vol. 96(C).
    7. Li, Ye & Wang, Yan-zhang & Cui, Qiang, 2015. "Evaluating airline efficiency: An application of Virtual Frontier Network SBM," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 81(C), pages 1-17.
    8. Duygun, Meryem & Prior, Diego & Shaban, Mohamed & Tortosa-Ausina, Emili, 2016. "Disentangling the European airlines efficiency puzzle: A network data envelopment analysis approach," Omega, Elsevier, vol. 60(C), pages 2-14.
    9. Yu, Ming-Miin & Chen, Li-Hsueh & Chiang, Hui, 2017. "The effects of alliances and size on airlines’ dynamic operational performance," Transportation Research Part A: Policy and Practice, Elsevier, vol. 106(C), pages 197-214.
    10. Ye Li & Qiang Cui, 2017. "Airline energy efficiency measures using the Virtual Frontier Network RAM with weak disposability," Transportation Planning and Technology, Taylor & Francis Journals, vol. 40(4), pages 479-504, May.
    11. Cui, Qiang & Li, Ye, 2017. "Airline efficiency measures using a Dynamic Epsilon-Based Measure model," Transportation Research Part A: Policy and Practice, Elsevier, vol. 100(C), pages 121-134.
    12. Chen, Zhongfei & Wanke, Peter & Antunes, Jorge Junio Moreira & Zhang, Ning, 2017. "Chinese airline efficiency under CO2 emissions and flight delays: A stochastic network DEA model," Energy Economics, Elsevier, vol. 68(C), pages 89-108.
    13. Cui, Qiang & Li, Ye & Yu, Chen-lu & Wei, Yi-Ming, 2016. "Evaluating energy efficiency for airlines: An application of Virtual Frontier Dynamic Slacks Based Measure," Energy, Elsevier, vol. 113(C), pages 1231-1240.
    14. Cui, Qiang & Li, Ye, 2017. "Airline efficiency measures under CNG2020 strategy: An application of a Dynamic By-production model," Transportation Research Part A: Policy and Practice, Elsevier, vol. 106(C), pages 130-143.
    15. Carol C. Huang & Chris C. Hsu & Emilio Collar, 2021. "An Evaluation of the Operational Performance and Profitability of the U.S. Airlines," International Journal of Global Business and Competitiveness, Springer, vol. 16(2), pages 73-85, December.
    16. Cui, Qiang & Li, Ye, 2018. "Airline dynamic efficiency measures with a Dynamic RAM with unified natural & managerial disposability," Energy Economics, Elsevier, vol. 75(C), pages 534-546.
    17. Wanke, Peter & Barros, C.P., 2016. "Efficiency in Latin American airlines: A two-stage approach combining Virtual Frontier Dynamic DEA and Simplex Regression," Journal of Air Transport Management, Elsevier, vol. 54(C), pages 93-103.
    18. Li, Ye & Cui, Qiang, 2017. "Carbon neutral growth from 2020 strategy and airline environmental inefficiency: A Network Range Adjusted Environmental Data Envelopment Analysis," Applied Energy, Elsevier, vol. 199(C), pages 13-24.
    19. See, Kok Fong & Rashid, Azwan Abdul & Yu, Ming-Miin, 2024. "Measuring the network capacity utilization, energy consumption and environmental inefficiency of global airlines," Energy Economics, Elsevier, vol. 132(C).
    20. Tatiana Bencova & Andrea Bohacikova, 2022. "DEA in Performance Measurement of Two-Stage Processes: Comparative Overview of the Literature," Economic Studies journal, Bulgarian Academy of Sciences - Economic Research Institute, issue 5, pages 111-129.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:annopr:v:351:y:2025:i:2:d:10.1007_s10479-024-06142-x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.