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Efficiency measures and computational approaches for data envelopment analysis models with ratio inputs and outputs

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  • Olesen, Ole Bent
  • Petersen, Niels Christian
  • Podinovski, Victor V.

Abstract

In a recent paper to this journal, the authors developed a methodology that allows the incorporation of ratio inputs and outputs in the variable and constant returns-to-scale DEA models. Practical evaluation of efficiency of decision making units (DMUs) in such models generally goes beyond the application of standard linear programming techniques. In this paper we discuss how the DEA models with ratio measures can be solved. We also introduce a new type of potential ratio (PR) inefficiency. It characterizes DMUs that are strongly efficient in the model of technology with ratio measures but become inefficient if the volume data used to calculate ratio measures become available. Potential ratio inefficiency can be tested by the programming approaches developed in this paper.

Suggested Citation

  • Olesen, Ole Bent & Petersen, Niels Christian & Podinovski, Victor V., 2017. "Efficiency measures and computational approaches for data envelopment analysis models with ratio inputs and outputs," European Journal of Operational Research, Elsevier, vol. 261(2), pages 640-655.
    • Handle: RePEc:eee:ejores:v:261:y:2017:i:2:p:640-655
    DOI: 10.1016/j.ejor.2017.02.021
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    1. Blackburn, Vincent & Brennan, Shae & Ruggiero, John, 2014. "Measuring efficiency in Australian Schools: A preliminary analysis," Socio-Economic Planning Sciences, Elsevier, vol. 48(1), pages 4-9.
    2. Fried, Harold O. & Lovell, C. A. Knox & Schmidt, Shelton S. (ed.), 1993. "The Measurement of Productive Efficiency: Techniques and Applications," OUP Catalogue, Oxford University Press, number 9780195072181.
    3. 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.
    4. Andrew Johnson & John Ruggiero, 2014. "Nonparametric measurement of productivity and efficiency in education," Annals of Operations Research, Springer, vol. 221(1), pages 197-210, October.
    5. R. G. Chambers & Y. Chung & R. Färe, 1998. "Profit, Directional Distance Functions, and Nerlovian Efficiency," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 351-364, August.
    6. Podinovski, V. V., 2005. "Selective convexity in DEA models," European Journal of Operational Research, Elsevier, vol. 161(2), pages 552-563, March.
    7. Dominique Deprins & Léopold Simar & Henry Tulkens, 2006. "Measuring Labor-Efficiency in Post Offices," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 285-309, Springer.
    8. Haelermans, Carla & Ruggiero, John, 2013. "Estimating technical and allocative efficiency in the public sector: A nonparametric analysis of Dutch schools," European Journal of Operational Research, Elsevier, vol. 227(1), pages 174-181.
    9. Olesen, Ole Bent & Petersen, Niels Christian & Podinovski, Victor V., 2015. "Efficiency analysis with ratio measures," European Journal of Operational Research, Elsevier, vol. 245(2), pages 446-462.
    10. 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.
    11. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
    12. Rajiv D. Banker & Richard C. Morey, 1986. "Efficiency Analysis for Exogenously Fixed Inputs and Outputs," Operations Research, INFORMS, vol. 34(4), pages 513-521, August.
    13. Ruggiero, John, 1996. "On the measurement of technical efficiency in the public sector," European Journal of Operational Research, Elsevier, vol. 90(3), pages 553-565, May.
    14. William W. Cooper & Lawrence M. Seiford & Kaoru Tone, 2007. "Data Envelopment Analysis," Springer Books, Springer, edition 0, number 978-0-387-45283-8, September.
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    Cited by:

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    5. Victoria Wojcik & Harald Dyckhoff & Marcel Clermont, 2019. "Is data envelopment analysis a suitable tool for performance measurement and benchmarking in non-production contexts?," Business Research, Springer;German Academic Association for Business Research, vol. 12(2), pages 559-595, December.
    6. Ole Bent Olesen & Niels Christian Petersen & Victor V. Podinovski, 2022. "Scale characteristics of variable returns-to-scale production technologies with ratio inputs and outputs," Annals of Operations Research, Springer, vol. 318(1), pages 383-423, November.
    7. D’Inverno, Giovanna & Smet, Mike & De Witte, Kristof, 2021. "Impact evaluation in a multi-input multi-output setting: Evidence on the effect of additional resources for schools," European Journal of Operational Research, Elsevier, vol. 290(3), pages 1111-1124.
    8. Mehmet Cahit GÜRAN & Emine AYRANCI, 2019. "Efficiency Changes in Higher Education in OECD Countries: Implementation of Malmquist Total Factor Productivity Index for 2000 and 2012 PeriodAbstract: This study analyzes the total factor productivit," Sosyoekonomi Journal, Sosyoekonomi Society, issue 27(41).
    9. Zha, Jianping & He, Lamei & Liu, Yang & Shao, Yuhong, 2019. "Evaluation on development efficiency of low-carbon tourism economy: A case study of Hubei Province, China," Socio-Economic Planning Sciences, Elsevier, vol. 66(C), pages 47-57.
    10. Victor V. Podinovski & Ole Bent Olesen & Cláudia S. Sarrico, 2018. "Nonparametric Production Technologies with Multiple Component Processes," Operations Research, INFORMS, vol. 66(1), pages 282-300, January.
    11. Dariush Akbarian, 2021. "Network DEA based on DEA-ratio," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 7(1), pages 1-26, December.
    12. Javad Gerami & Reza Kiani Mavi & Reza Farzipoor Saen & Neda Kiani Mavi, 2023. "A novel network DEA-R model for evaluating hospital services supply chain performance," Annals of Operations Research, Springer, vol. 324(1), pages 1041-1066, May.
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    16. Mohammad Reza Mozaffari & Sahar Ostovan & Peter Fernandes Wanke, 2020. "A Hybrid Genetic Algorithm-Ratio DEA Approach for Assessing Sustainable Efficiency in Two-Echelon Supply Chains," Sustainability, MDPI, vol. 12(19), pages 1-17, September.
    17. Javad Gerami & Mohammad Reza Mozaffari & P. F. Wanke & Henrique Correa, 2022. "A novel slacks-based model for efficiency and super-efficiency in DEA-R," Operational Research, Springer, vol. 22(4), pages 3373-3410, September.
    18. Boďa, Martin & Zimková, Emília, 2021. "Overcoming the loan-to-deposit ratio by a financial intermediation measure — A perspective instrument of financial stability policy," Journal of Policy Modeling, Elsevier, vol. 43(5), pages 1051-1069.

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