IDEAS home Printed from https://ideas.repec.org/a/kap/jproda/v20y2003i3p305-321.html
   My bibliography  Save this article

Multiple Objective Approach as an Alternative to Radial Projection in DEA

Author

Listed:
  • Pekka Korhonen
  • Sari Stenfors
  • Mikko Syrjänen

Abstract

Radial projection is a standard technique applied in data envelopment analysis (DEA) to calculate efficiency scores for input and/or output variables. In this paper, we have studied the appropriateness of radial projection for target setting. We have created a situation where the decision making units (DMUs) are free to choose their own target values on the efficient frontier and then compared the results to those of radial projection. In practice, target values are primarily used for future goal attainment; hence, not only preferences but also, and on the whole, change in time frame, affect the choice of target values. Based on that, we conducted an empirical experiment with an aim to study how the DMUs choose their most preferred target values on the efficient frontier. The subjects, who all were students of the Helsinki School of Economics, were given the freedom to explore their personalized efficient frontiers by using a multiple objective linear programming (MOLP) approach. To study various and relevant scenarios, the personalized efficient frontiers for all students were constructed in such a way that the current position of each student in relation to the frontier made him/her inefficient, efficient, or super-efficient. The results show that the use of radial projection for target setting is too restrictive. Copyright Kluwer Academic Publishers 2003

Suggested Citation

  • Pekka Korhonen & Sari Stenfors & Mikko Syrjänen, 2003. "Multiple Objective Approach as an Alternative to Radial Projection in DEA," Journal of Productivity Analysis, Springer, vol. 20(3), pages 305-321, November.
  • Handle: RePEc:kap:jproda:v:20:y:2003:i:3:p:305-321
    DOI: 10.1023/A:1027351816946
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1023/A:1027351816946
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1023/A:1027351816946?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Tarja Joro & Pekka Korhonen & Jyrki Wallenius, 1998. "Structural Comparison of Data Envelopment Analysis and Multiple Objective Linear Programming," Management Science, INFORMS, vol. 44(7), pages 962-970, July.
    2. P. Korhonen, 1997. "Searching the Efficient Frontier in Data Envelopment Analysis," Working Papers ir97079, International Institute for Applied Systems Analysis.
    3. Kopp, Raymond J., 1981. "Measuring the technical efficiency of production: A comment," Journal of Economic Theory, Elsevier, vol. 25(3), pages 450-452, December.
    4. Thanassoulis, E. & Dyson, R. G., 1992. "Estimating preferred target input-output levels using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 56(1), pages 80-97, January.
    5. Fare, Rolf & Knox Lovell, C. A., 1978. "Measuring the technical efficiency of production," Journal of Economic Theory, Elsevier, vol. 19(1), pages 150-162, October.
    6. Borger, Bruno De & Ferrier, Gary D. & Kerstens, Kristiaan, 1998. "The choice of a technical efficiency measure on the free disposal hull reference technology: A comparison using US banking data," European Journal of Operational Research, Elsevier, vol. 105(3), pages 427-446, March.
    7. 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.
    8. Korhonen, Pekka J. & Laakso, Jukka, 1986. "A visual interactive method for solving the multiple criteria problem," European Journal of Operational Research, Elsevier, vol. 24(2), pages 277-287, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tavana, Madjid & Ebrahimnejad, Ali & Santos-Arteaga, Francisco J. & Mansourzadeh, Seyed Mehdi & Matin, Reza Kazemi, 2018. "A hybrid DEA-MOLP model for public school assessment and closure decision in the City of Philadelphia," Socio-Economic Planning Sciences, Elsevier, vol. 61(C), pages 70-89.
    2. Soushi Suzuki & Peter Nijkamp & Piet Rietveld, 2013. "Preference Elicitation in Generalized Data Envelopment Analysis - In Search of a New Energy Balance in Japan," Tinbergen Institute Discussion Papers 13-162/VIII, Tinbergen Institute.
    3. Quariguasi Frota Neto, J. & Walther, G. & Bloemhof, J. & van Nunen, J.A.E.E. & Spengler, T., 2009. "A methodology for assessing eco-efficiency in logistics networks," European Journal of Operational Research, Elsevier, vol. 193(3), pages 670-682, March.
    4. Soushi Suzuki & Peter Nijkamp, 2008. "A Generalized Goals-achievement Model in Data Envelopment Analysis," Tinbergen Institute Discussion Papers 08-110/3, Tinbergen Institute.
    5. Sebastián Lozano & Gabriel Villa, 2023. "Multiobjective centralized DEA approach to Tokyo 2020 Olympic Games," Annals of Operations Research, Springer, vol. 322(2), pages 879-919, March.
    6. Peter Bogetoft & Kurt Nielsen, 2005. "Internet Based Benchmarking," Group Decision and Negotiation, Springer, vol. 14(3), pages 195-215, May.
    7. Lin, Shoufu & Lin, Ruoyun & Sun, Ji & Wang, Fei & Wu, Weixiang, 2021. "Dynamically evaluating technological innovation efficiency of high-tech industry in China: Provincial, regional and industrial perspective," Socio-Economic Planning Sciences, Elsevier, vol. 74(C).
    8. Henriques, C.O. & Marcenaro-Gutierrez, O.D., 2021. "Efficiency of secondary schools in Portugal: A novel DEA hybrid approach," Socio-Economic Planning Sciences, Elsevier, vol. 74(C).
    9. Suzuki, Soushi & Nijkamp, Peter, 2016. "An evaluation of energy-environment-economic efficiency for EU, APEC and ASEAN countries: Design of a Target-Oriented DFM model with fixed factors in Data Envelopment Analysis," Energy Policy, Elsevier, vol. 88(C), pages 100-112.
    10. Frota Neto, J. Quariguasi & Bloemhof-Ruwaard, J.M. & van Nunen, J.A.E.E. & van Heck, E., 2008. "Designing and evaluating sustainable logistics networks," International Journal of Production Economics, Elsevier, vol. 111(2), pages 195-208, February.
    11. Soushi Suzuki & Peter Nijkamp & Piet Rietveld, 2012. "A preference allocation-DFM model in Data Envelopment Analysis -An application to Energy-Environment-Economic efficiency in Japan-," ERSA conference papers ersa12p332, European Regional Science Association.
    12. Peter Nijkamp & Soushi Suzuki, 2009. "A Generalized Goals-achievement Model in Data Envelopment Analysis: an Application to Efficiency Improvement in Local Government Finance in Japan," Spatial Economic Analysis, Taylor & Francis Journals, vol. 4(3), pages 249-274.
    13. Lozano, S. & Hinojosa, M.A. & Mármol, A.M., 2019. "Extending the bargaining approach to DEA target setting," Omega, Elsevier, vol. 85(C), pages 94-102.
    14. Dehnokhalaji, Akram & Korhonen, Pekka J. & Köksalan, Murat & Nasrabadi, Nasim & Wallenius, Jyrki, 2010. "Efficiency analysis to incorporate interval-scale data," European Journal of Operational Research, Elsevier, vol. 207(2), pages 1116-1121, December.
    15. Soushi Suzuki & Peter Nijkamp, 2021. "High urban population density as a facilitator of energy–environment–economy performance–development of an autoconfiguration target model in data envelopment analysis," Asia-Pacific Journal of Regional Science, Springer, vol. 5(1), pages 261-287, February.
    16. Karima Kourtit & Peter Nijkamp & Soushi Suzuki, 2023. "Quantitative performance assessment of Asian stellar cities by a DEA cascade system: a capability interpretation," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 70(1), pages 259-286, February.
    17. Suzuki, Soushi & Nijkamp, Peter & Rietveld, Piet & Pels, Eric, 2010. "A distance friction minimization approach in data envelopment analysis: A comparative study on airport efficiency," European Journal of Operational Research, Elsevier, vol. 207(2), pages 1104-1115, December.

    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. T. Joro, 1998. "Models for Identifying Target Units in Data Envelopment Analysis: Comparison and Extension," Working Papers ir98055, International Institute for Applied Systems Analysis.
    2. P. Korhonen & A. Siljamaeki & M. Soismaa, 1998. "Practical Aspects of Value Efficiency Analysis," Working Papers ir98042, International Institute for Applied Systems Analysis.
    3. Walter Briec & Laurent Cavaignac & Kristiaan Kerstens, 2020. "Input Efficiency Measures: A Generalized, Encompassing Formulation," Operations Research, INFORMS, vol. 68(6), pages 1836-1849, November.
    4. P. Korhonen, 1997. "Searching the Efficient Frontier in Data Envelopment Analysis," Working Papers ir97079, International Institute for Applied Systems Analysis.
    5. Peter Bogetoft & Kurt Nielsen, 2005. "Internet Based Benchmarking," Group Decision and Negotiation, Springer, vol. 14(3), pages 195-215, May.
    6. Pekka Korhonen & Mikko Syrjänen, 2004. "Resource Allocation Based on Efficiency Analysis," Management Science, INFORMS, vol. 50(8), pages 1134-1144, August.
    7. Suzuki, Soushi & Nijkamp, Peter & Rietveld, Piet & Pels, Eric, 2010. "A distance friction minimization approach in data envelopment analysis: A comparative study on airport efficiency," European Journal of Operational Research, Elsevier, vol. 207(2), pages 1104-1115, December.
    8. Adler, Nicole & Friedman, Lea & Sinuany-Stern, Zilla, 2002. "Review of ranking methods in the data envelopment analysis context," European Journal of Operational Research, Elsevier, vol. 140(2), pages 249-265, July.
    9. Peter Nijkamp & Soushi Suzuki, 2009. "A Generalized Goals-achievement Model in Data Envelopment Analysis: an Application to Efficiency Improvement in Local Government Finance in Japan," Spatial Economic Analysis, Taylor & Francis Journals, vol. 4(3), pages 249-274.
    10. Maria Silva Portela & Pedro Borges & Emmanuel Thanassoulis, 2003. "Finding Closest Targets in Non-Oriented DEA Models: The Case of Convex and Non-Convex Technologies," Journal of Productivity Analysis, Springer, vol. 19(2), pages 251-269, April.
    11. Ruggiero, John, 2000. "Measuring technical efficiency," European Journal of Operational Research, Elsevier, vol. 121(1), pages 138-150, February.
    12. Yang, Jian-Bo & Wong, Brandon Y.H. & Xu, Dong-Ling & Stewart, Theodor J., 2009. "Integrating DEA-oriented performance assessment and target setting using interactive MOLP methods," European Journal of Operational Research, Elsevier, vol. 195(1), pages 205-222, May.
    13. Youchao Tan & Udaya Shetty & Ali Diabat & T. Pakkala, 2015. "Aggregate directional distance formulation of DEA with integer variables," Annals of Operations Research, Springer, vol. 235(1), pages 741-756, December.
    14. Yun, Y. B. & Nakayama, H. & Tanino, T., 2004. "A generalized model for data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 157(1), pages 87-105, August.
    15. Halme, Merja & Korhonen, Pekka, 2000. "Restricting weights in value efficiency analysis," European Journal of Operational Research, Elsevier, vol. 126(1), pages 175-188, October.
    16. Isabelle Piot-Lepetit & Dominique Vermersch & Robert D. Weaver & . American Agricultural Economics Association, 1995. "Subvector Technical EffÏciency : An Application to French Agriculture," Post-Print hal-02403487, HAL.
    17. William Cooper & Kyung Park & Jesus Pastor, 1999. "RAM: A Range Adjusted Measure of Inefficiency for Use with Additive Models, and Relations to Other Models and Measures in DEA," Journal of Productivity Analysis, Springer, vol. 11(1), pages 5-42, February.
    18. Maria Portela & Emmanuel Thanassoulis, 2006. "Zero weights and non-zero slacks: Different solutions to the same problem," Annals of Operations Research, Springer, vol. 145(1), pages 129-147, July.
    19. Laurens Cherchye & Tom Van Puyenbroeck, 1999. "A Shadow Price Approach to Technical Efficiency Measurement," Public Economics Working Paper Series ces9924, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics.
    20. Isabelle Piot-Lepetit & Dominique Vermersch & Robert D. Weaver, 1995. "Agriculture's environmental externalities : is there a free lunch ? DEA evidence for French agriculture," Post-Print hal-02306149, HAL.

    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:kap:jproda:v:20:y:2003:i:3:p:305-321. 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.