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Multiple Objective Approach as an Alternative to Radial Projection in DEA

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  • 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
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    References listed on IDEAS

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    8. 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.
    9. 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.
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    11. 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.
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    13. Soushi Suzuki & Peter Nijkamp, 2008. "A Generalized Goals-achievement Model in Data Envelopment Analysis," Tinbergen Institute Discussion Papers 08-110/3, Tinbergen Institute.
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