The interval Malmquist productivity index in DEA
محورهای موضوعی : Data Envelopment AnalysisF. Rezai Balf 1 , F. Hosseinzadeh Lotfi 2 , M. Alizadeh Afrouzi 3
1 - Department of Mathematics, Islamic Azad University, Qaemshahr, Iran
2 - Department of Mathematics, Science & Research Branch, Islamic AzadUnivercity, Tehran, Iran
3 - Student of Mathematics, Islamic Azad University, Qaemshahr, Iran
کلید واژه: DEA, interval efficiency, Malmquist Productivity Index,
چکیده مقاله :
One of the most popular approaches to measuring productivity changes is basedon using Malmquist productivity indexes. In this paper we propose a method forobtaining interval Malmquist productivity index (IMPI). The classical DEAmodels have been before used for measuring the Malmquist productivity index.The current article extends DEA models for measuring the interval Malmquistproductivity index by utilize the bounded DEA models instead of classical DEAmodels.
One of the most popular approaches to measuring productivity changes is basedon using Malmquist productivity indexes. In this paper we propose a method forobtaining interval Malmquist productivity index (IMPI). The classical DEAmodels have been before used for measuring the Malmquist productivity index.The current article extends DEA models for measuring the interval Malmquistproductivity index by utilize the bounded DEA models instead of classical DEAmodels.
[1] Caves D.W., Christensen L. R., Diewert W.E., The economic theory of index numbers and the measurement of input, output, and productivity. Economic, 50 (6), 1414-1939, 1982.
[2] Charnes A.A., Cooper W.W., Rhodes E., Measuring the efficiency of decision making units. European Journal of Operation Research 2, 429-441, 1978.
[3] Chen Y., Ali A.I., DEA Malmquist productivity measure: New insights with an application to computer industry, European Journal of Operational Research, 2003.
[4] Farrell M.J., The measurement of production efficiency. Journal of The Royal Statistical Society Series A: General, 120 (3), 253-281, 1957.
[5] Fare R., Grosskopf S., Lindgern B., Roos P., Productivity change in Swedish pharmacies 1980-1989: A non-parametric Malmquist approach. Journal of Productivity Analysis, 3, 85-102, 1992.
[6] Fare R., Grosskopf S., Lovell C.A.K., 1994a.Production Frontiers. Cambridge University Press.
[7] Hosseinzadeh Lotfi F., Navabakhsh M., Rezai Balf F., Jahantighey M.A., Abolghasemzadeh Sh., Application of Malmquist productivity index on interval Data in Education Groups.
[8] Malmquist S., Index numbers and indifferent surfaces. Trabajos de Estatistica 4, 209- 242, 1953.
[9] Parkan C., Wang Y.M., The worst possible relative efficiency analysis based on inefficient production frontier, Working paper, Department of Management Sciences, City University of Hong Kong, 2000.
[10] Wang Y.M., Yang J.B., Measuring the performances of decision-making units using interval efficiencies, Journal of Computational and Applied Mathematics, 198, 253-26, 2007.