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Evaluating the Efficiencies of Academic Research Groups: A Problem of Shared Outputs

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  • Sonia Valeria Avilés-Sacoto

    (Universidad San Francisco de Quito USFQ, Campus Cumbayá, Diego de Robles s/n, Quito, Pichincha 170157, Ecuador2Tecnologico de Monterrey, Campus Monterrey, Ave. Eugenio Garza Sada 2501, Monterrey N.L. 64849, México)

  • Wade D. Cook

    (Schulich School of Business, York University, Toronto, Ontario, Canada M3J 1P3, Canada)

  • David Güemes-Castorena

    (Tecnologico de Monterrey, Campus Monterrey, Ave. Eugenio Garza Sada 2501, Monterrey N.L. 64849, México)

  • Francisco Benita

    (Singapore University of Technology and Design, 8 Somapah Rd, Singapore 487372, Singapore)

  • Hector Ceballos

    (Tecnologico de Monterrey, Campus Monterrey, Ave. Eugenio Garza Sada 2501, Monterrey N.L. 64849, México)

  • Joe Zhu

    (College of Auditing and Evaluation, Nanjing Audit University, Nanjing, Jiangsu Province 211815, P. R. China6Foisie Business School, Worcester Polytechnic Institute, Worcester, MA 01609, USA)

Abstract

Data envelopment analysis (DEA) is a methodology for evaluating the relative efficiencies of a set of decision-making units (DMUs), based on their multiple inputs and outputs. The original model is based on the assumption that DMUs operate independently of one another. However, this assumption may not apply in some situations, as in the case we present in this paper, in which DMUs can work together to produce joint outputs. What makes it more interesting is the situation in which this characteristic of sharing outputs among some DMUs differs from one DMU to another; this makes it more challenging to determine independent efficiency scores that cater for this phenomenon. To address this, the current paper presents a methodology for measuring efficiency in situations in which DMUs share outputs with other units. We examine the case of a set of research groups in a Mexican university. For this study, the inputs used are professors belonging to various groups, and outputs are the published journal articles, some of which are produced completely within a group, whereas others arise from collaboration with professors from other research groups. Jointly published articles form a link connecting the groups.

Suggested Citation

  • Sonia Valeria Avilés-Sacoto & Wade D. Cook & David Güemes-Castorena & Francisco Benita & Hector Ceballos & Joe Zhu, 2018. "Evaluating the Efficiencies of Academic Research Groups: A Problem of Shared Outputs," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(06), pages 1-22, December.
  • Handle: RePEc:wsi:apjorx:v:35:y:2018:i:06:n:s0217595918500422
    DOI: 10.1142/S0217595918500422
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    References listed on IDEAS

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    1. Kristof De Witte & Laura López-Torres, 2017. "Efficiency in education: a review of literature and a way forward," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 339-363, April.
    2. Chen, Yao & Du, Juan & David Sherman, H. & Zhu, Joe, 2010. "DEA model with shared resources and efficiency decomposition," European Journal of Operational Research, Elsevier, vol. 207(1), pages 339-349, November.
    3. Tone, Kaoru & Tsutsui, Miki, 2009. "Network DEA: A slacks-based measure approach," European Journal of Operational Research, Elsevier, vol. 197(1), pages 243-252, August.
    4. Kao, Chiang & Hung, Hsi-Tai, 2008. "Efficiency analysis of university departments: An empirical study," Omega, Elsevier, vol. 36(4), pages 653-664, August.
    5. 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.
    6. 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.
    7. Loren Tauer & Harold Fried & William Fry, 2007. "Measuring Efficiencies of Academic Departments within a College," Education Economics, Taylor & Francis Journals, vol. 15(4), pages 473-489.
    8. Wade D. Cook & Joe Zhu, 2011. "Multiple Variable Proportionality in Data Envelopment Analysis," Operations Research, INFORMS, vol. 59(4), pages 1024-1032, August.
    9. Cook, Wade D. & Hababou, Moez, 2001. "Sales performance measurement in bank branches," Omega, Elsevier, vol. 29(4), pages 299-307, August.
    10. Zieschang, Kimberly D., 1984. "An extended farrell technical efficiency measure," Journal of Economic Theory, Elsevier, vol. 33(2), pages 387-396, August.
    11. Tsai, P. F. & Mar Molinero, C., 2002. "A variable returns to scale data envelopment analysis model for the joint determination of efficiencies with an example of the UK health service," European Journal of Operational Research, Elsevier, vol. 141(1), pages 21-38, August.
    12. Wade Cook & Moez Hababou & Hans Tuenter, 2000. "Multicomponent Efficiency Measurement and Shared Inputs in Data Envelopment Analysis: An Application to Sales and Service Performance in Bank Branches," Journal of Productivity Analysis, Springer, vol. 14(3), pages 209-224, November.
    13. Charnes, A. & Cooper, W. W. & Golany, B. & Seiford, L. & Stutz, J., 1985. "Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 91-107.
    14. Tommaso Agasisti & Giuseppe Catalano & Paolo Landoni & Roberto Verganti, 2012. "Evaluating the performance of academic departments: an analysis of research-related output efficiency," Research Evaluation, Oxford University Press, vol. 21(1), pages 2-14, February.
    15. Kao, Chiang, 2009. "Efficiency measurement for parallel production systems," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1107-1112, August.
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