Performance Evaluation of Universities as Groups of Decision Making Units
Universities have different offices such as educational, research, student, administrative, and financial offices. This paper considers universities as groups of decision making units (DMUs) in which DMUs are their offices. This approach gives us with a more just evaluation of universities instead of separate evaluation of the offices of universities. The proposed approach to evaluate group performance of universities is based on common set of weights method in DEA. The suggested method not only can compare groups and measure their efficiencies, but also can calculate the efficiency of units within group and efficiency spread of groups. At last, the suggested method is applied for the analysis of the performance of universities in 14th district of Islamic Azad University as groups under evaluation.
[1] A. Charnes, W. W. Cooper, and E. Rhodes, "Measuring the efficiency of
decision making units, ”Eur. J. Oper. Res., vol. 2, pp. 429–444, 1878.
[2] R. D. Banker, A. Charnes, and W. W. Cooper, "Some models for
estimating technical and scale efficiencies in data envelopment analysis,
”Manage. Sci., vol. 30, pp. 1078–1092, 1984.
[3] W. D. Cook, and L. M. Seiford, "Data envelopment analysis (DEA)-
thirty years on,” Eur. J. Oper. Res., vol. 192, pp. 1–17, 2009.
[4] J. S. Liu, L. Y. Y. Lu, W. M. Lu, and B. J. Y. Lin, "Data envelopment
analysis 1978–2010: A citation-based literature survey,” Omega-Int. J.
Manage. S., vol. 41, pp. 3–15, 2013.
[5] N. K. Avkiran, "Investigating technical and scale efficiencies of
Australian Universities through data envelopment analysis,” Ocio. Econ.
Plan. Sci., vol. 35, pp. 57–80, 2001.
[6] M. Abbott, and C. Doucouliagos, "The efficiency of Australian
universities: a data envelopment analysis, ”Econ. Educ. Rev., vol. 22, pp.
89–97, 2003.
[7] J. Johnes, "Measuring teaching efficiency in higher education: An
application of data envelopment analysis to economics graduates from
UK Universities 1993,”Eur. J. Oper. Res., vol. 174, pp. 443–456, 2006.
[8] B. Casu, and E. Thanassoulis, "Evaluating cost efficiency in central
administrative services in UK universities,” Omega-Int. J. Manage. S.,
vol. 34, pp. 417–426, 2006.
[9] J. Horne, and B. Hu, "Estimation of cost efficiency of
Australian universities,” Math. Comput. Simulat., vol. 78, pp. 266–275,
2008.
[10] C. Worthington, and B. L. Lee, "Efficiency, technology and productivity
change in Australian universities, 1998–2003,”Econ. Educ. Rev., vol. 27,
pp. 285–298, 2008.
[11] Y. Chu, and S. K. Li, "Efficiency and productivity growth in
Chinese universities during the post-reform period,” China Econ. Rev.,
vol. 20, pp. 183–192, 2009.
[12] M. Katharaki, and G., Katharakis, "A comparative assessment of Greek
universities’ efficiency using quantitative analysis,” Int. J. Educ. Res.,
vol. 49, pp. 115–128, 2010.
[13] S. Ahmadi, and A. Keshavarzi, "Comparing
educational efficiency among male and female literature teachers
graduated from Islamic Azad University, State University and
Payamnoor University,” Procedia - Social and Behavioral Sciences,
vol. 83, pp. 926–931, 2013.
[14] S. Camanho, and R. G. Dyson, "Data envelopment analysis and
Malmquist indices for measuring group performances,” J. Prod. Anal.,
vol. 26, pp. 35–49, 2006.
[15] W. D. Cook, and J. Zhu, "Within-group common weights in DEA: An
analysis of power plant efficiency,” Eur. J. Oper. Res., vol. 178, pp.
207–216, 2007.
[16] H. Bagherzadeh Valami, "Group performance evaluation, an application
of data envelopment analysis,” J. Comput. Appl. Math., vol. 230, pp.
485–490, 2009.
[17] F. Hosseinzadeh Lotfi, A. A. Noora, G. R. Jahanshahloo, M.
Khodabakhshi, and A. Payan, "A linear programming approach to test
efficiency in multi-objective linear fractional programming problems,”
Appl. Math. Model., vol. 34, pp. 4179–4183, 2010.
[1] A. Charnes, W. W. Cooper, and E. Rhodes, "Measuring the efficiency of
decision making units, ”Eur. J. Oper. Res., vol. 2, pp. 429–444, 1878.
[2] R. D. Banker, A. Charnes, and W. W. Cooper, "Some models for
estimating technical and scale efficiencies in data envelopment analysis,
”Manage. Sci., vol. 30, pp. 1078–1092, 1984.
[3] W. D. Cook, and L. M. Seiford, "Data envelopment analysis (DEA)-
thirty years on,” Eur. J. Oper. Res., vol. 192, pp. 1–17, 2009.
[4] J. S. Liu, L. Y. Y. Lu, W. M. Lu, and B. J. Y. Lin, "Data envelopment
analysis 1978–2010: A citation-based literature survey,” Omega-Int. J.
Manage. S., vol. 41, pp. 3–15, 2013.
[5] N. K. Avkiran, "Investigating technical and scale efficiencies of
Australian Universities through data envelopment analysis,” Ocio. Econ.
Plan. Sci., vol. 35, pp. 57–80, 2001.
[6] M. Abbott, and C. Doucouliagos, "The efficiency of Australian
universities: a data envelopment analysis, ”Econ. Educ. Rev., vol. 22, pp.
89–97, 2003.
[7] J. Johnes, "Measuring teaching efficiency in higher education: An
application of data envelopment analysis to economics graduates from
UK Universities 1993,”Eur. J. Oper. Res., vol. 174, pp. 443–456, 2006.
[8] B. Casu, and E. Thanassoulis, "Evaluating cost efficiency in central
administrative services in UK universities,” Omega-Int. J. Manage. S.,
vol. 34, pp. 417–426, 2006.
[9] J. Horne, and B. Hu, "Estimation of cost efficiency of
Australian universities,” Math. Comput. Simulat., vol. 78, pp. 266–275,
2008.
[10] C. Worthington, and B. L. Lee, "Efficiency, technology and productivity
change in Australian universities, 1998–2003,”Econ. Educ. Rev., vol. 27,
pp. 285–298, 2008.
[11] Y. Chu, and S. K. Li, "Efficiency and productivity growth in
Chinese universities during the post-reform period,” China Econ. Rev.,
vol. 20, pp. 183–192, 2009.
[12] M. Katharaki, and G., Katharakis, "A comparative assessment of Greek
universities’ efficiency using quantitative analysis,” Int. J. Educ. Res.,
vol. 49, pp. 115–128, 2010.
[13] S. Ahmadi, and A. Keshavarzi, "Comparing
educational efficiency among male and female literature teachers
graduated from Islamic Azad University, State University and
Payamnoor University,” Procedia - Social and Behavioral Sciences,
vol. 83, pp. 926–931, 2013.
[14] S. Camanho, and R. G. Dyson, "Data envelopment analysis and
Malmquist indices for measuring group performances,” J. Prod. Anal.,
vol. 26, pp. 35–49, 2006.
[15] W. D. Cook, and J. Zhu, "Within-group common weights in DEA: An
analysis of power plant efficiency,” Eur. J. Oper. Res., vol. 178, pp.
207–216, 2007.
[16] H. Bagherzadeh Valami, "Group performance evaluation, an application
of data envelopment analysis,” J. Comput. Appl. Math., vol. 230, pp.
485–490, 2009.
[17] F. Hosseinzadeh Lotfi, A. A. Noora, G. R. Jahanshahloo, M.
Khodabakhshi, and A. Payan, "A linear programming approach to test
efficiency in multi-objective linear fractional programming problems,”
Appl. Math. Model., vol. 34, pp. 4179–4183, 2010.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:67037", author = "Ali Payan and Bijan Rahmani Parchicolaie", title = "Performance Evaluation of Universities as Groups of Decision Making Units ", abstract = "Universities have different offices such as educational, research, student, administrative, and financial offices. This paper considers universities as groups of decision making units (DMUs) in which DMUs are their offices. This approach gives us with a more just evaluation of universities instead of separate evaluation of the offices of universities. The proposed approach to evaluate group performance of universities is based on common set of weights method in DEA. The suggested method not only can compare groups and measure their efficiencies, but also can calculate the efficiency of units within group and efficiency spread of groups. At last, the suggested method is applied for the analysis of the performance of universities in 14th district of Islamic Azad University as groups under evaluation.
", keywords = "Common set of weights, group efficiency, performance analysis, spread efficiency.", volume = "8", number = "4", pages = "690-7", }
