G. R. Jahanshahloo1, F. Hosseinzadeh Lotfi1, A. A. Noora2 and B. Rahmani Parchikolaei1*
1Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, Iran.
2Department of Mathematics, Sistan and Balochestan University, Zahedan, Iran.
In this paper, we extend the work of Camanho and Dyson (2006, 26:35-49) into a group of Malmquist productivity index for two time periods of measurement, based on the Malmquist index to enable the decision making units’ internal efficiencies from those associated with their group characteristics. We construct an index reflecting the relative performance groups in two time periods, which can be decomposed into two indices, first for the comparison of efficiency changing and another index for comparison of technological change. We provide a computational method for extension of the Malmquist index group A in relation to group B of time t to time t+1. The utilization of the proposed approach is demonstrated with an illustrative example.
Key words: Data envelopment analysis (DEA), Malmquist productivity index, group efficiency.
|Camanho AS, Dyson RG (2006). Data envelopment analysis and Malmquist indices for measuring group performance. J. prod. Anal., pp.35-49.|
Caves DW, Christensen LR, Diewert WE (1982). ''The Economic Theory of Index Numbers and theMeasurement of Input, Output, and Productivity.'' Econometrica 50(6):1393-1414
|Charnes A, Cooper WW, Rhodes E (1981). Evaluating Program and manageral efficiency: an application of data envelopment analysis to program follow through. Manag. Sci. 27:668-697.|
|Cook WD, Chai D, Doyle J (1998). Hierarchies and groups in DEA. J. Prod. Anal. pp.177-198.|
|Fare R, Grosskopf S (1996). International production frontiers: with dynamic DEA. Kluwer Academic publishers, Dordrecht.|
|Jahanshahloo GR, Hosseinzadeh LF, Rahmani PB (2011). Measuring Human Development Index based on Malmquist Productivity Index. App. Math. Sci. 5(62):3057-3064.|
|APA||(2013). Progress and regression group performance in data envelopment analysis (DEA): An application of productivity Malmquist index. African Journal of Business Management, 7(19), 1894-1902.|
|Chicago||G. R. Jahanshahloo, F. Hosseinzadeh Lotfi, A. A. Noora and B. Rahmani Parchikolaei. "Progress and regression group performance in data envelopment analysis (DEA): An application of productivity Malmquist index." African Journal of Business Management 7, no. 19 (2013): 1894-1902.|
|MLA||G. R. Jahanshahloo, et al. "Progress and regression group performance in data envelopment analysis (DEA): An application of productivity Malmquist index." African Journal of Business Management 7.19 (2013): 1894-1902.|