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Finding the Most Efficient DMU in DEA: A Model-Free Procedure | ||
| Control and Optimization in Applied Mathematics | ||
| مقاله 2، دوره 7، شماره 1، فروردین 2022، صفحه 15-29 اصل مقاله (539.99 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.30473/coam.2022.62871.1193 | ||
| نویسندگان | ||
| Zahra Noori1؛ Hamed Zhiani Rezai* 2؛ Alireza Davoodi3؛ Sohrab Kordrostami4 | ||
| 1Department of Mathematics, Islamic Azad University, Lahijan Branch, Lahijan, Iran. | ||
| 2Department of Mathematics, Islamic Azad University, Mashhad Branch, Mashhad, Iran. | ||
| 3Department of Mathematics, Islamic Azad University, Neyshabur Branch, Neyshabur, Iran. | ||
| 4Department of Mathematics, Islamic Azad University, Lahijan Branch, Lahijan, Iran | ||
| چکیده | ||
| Data envelopment analysis models are able to rank decision-making units (DMUs) based on their efficiency scores. In spite of the fact that there exists a unique ranking of inefficient DMUs, ranking efficient DMUs is problematic. However, rather than ranking methods, another way to choose one of the efficient units is to determine the most efficient DMU. Up to the present, many models have been proposed to rank DMUs and determine the most efficient one. These models require solving nonlinear or integer programs, which are NP-hard and time-consuming. Considering efficient DMU's characteristics, this paper proposes a procedure to find the most efficient DMU through some simple operations. The validity of the proposed approach is verified and tested via some numerical examples. | ||
| کلیدواژهها | ||
| Data envelopment analysis؛ Most efficient DMU؛ Input and output weights؛ Mathematical model | ||
| مراجع | ||
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[1] Adler N., Friedman L., Stern Z.S. (2002). “Review of ranking methods in data envelopment analysis context”, European Journal of Operational Research, 140, 249-265.
[2] Amin G.R. (2009). “Comments on finding the most efficient DMUs in DEA: An improved integrated model”, Computers and Industrial Engineering, 56, 1701-1702.
[3] Amin G.R., Toloo M. (2007). “Finding the most efficient DMUs in DEA: An improved integrated model”, Computers and Industrial Engineering, 52(2), 71-77.
[4] Amin G.R., Toloo M., Sohrabi B. (2006). “An improved MCDM DEA model for technology selection”, International Journal of Production Research, 44, 2681-2686.
[5] Andersen P., Petersen N.C. (1993). “A procedure for ranking efficient units in data envelopment analysis”, Management Science, 39(10), 1261-1294.
[6] Banker R.D., Charnes A., Cooper W.W. (1984). “Some models for estimating technical and scale ineficiency in data envelopment analysis”, Management Science, 30, 1078-1092.
[7] Charnes A., Cooper W.W. (1962). “Programming with linear fractional functional”, Naval Research Logistics Quarterly, 9, 67-88.
[8] Charnes A., Cooper W.W., Rhodes E. (1978). “Measuring the efficiency of decision-making units”, European Journal of Operational Research, 2, 429-444.
[9] Chen Y., Ali A.I. 2002. “Continuous optimization output-input ratio analysis and DEA frontier”, European Journal of Operational Research, 142, 476-479.
[10] Cooper W.W., Seiford L.M., Tone K. (2007). “Data envelopment analysis: a comprehensive text with models, applications, references and DEA-solver software”, Springer Science & Business Media.
[11] Davoodi A., Zhiani Rezai H. (2012). “Common set of weights in data envelopment analysis: a linear programming problem”, Central European Journal of Operations Research, 20(2), 355-365.
[12] Dyson R., Allen R., Camanho A., Podinovski V., Sarrico C., Shale E. (2001). “Pitfalls and protocols in DEA”, European Journal of Operational Research, 132(2), 245-259.
[13] Dyson R.G., Thanassoulis E. (1988). “Reducing weight flexibility in Data Envelopment Analysis”, Journal of the Operational Research Society, 39(6), 563-576.
[14] Ertay T., Ruan D. (2005). “Data envelopment analysis based decision model for optimal operator allocation in CMS”, European Journal of Operational Research, 164, 800-810.
[15] Ertay T., Ruan D., Tuzkaya U.R. (2006). “Integrating data envelopment analysis and analytic hierarchy for the facility layout design in manufacturing systems”, Information Sciences, 176, 237-262.
[16] Foroughi A.A. (2011). “A new mixed integer linear model for selecting the best decision-making units in data envelopment analysis”, Computers and Industrial Engineering, 60(4), 550-554.
[17] Friedman L., Sinuany-Stern Z. (1997). “Scaling units via the canonical correlation analysis in the DEA context”, European Journal of Operational Research, 100(3), 629-637.
[18] Friedman L., Sinuany-Stern Z. (1998). “Combining ranking scales and selecting variables in the DEA context: The case of industrial branches”, Computers and Operations Research, 25(9), 781-791.
[19] Golany B. (1988). “An interactive MOLP procedure for the extension of data envelopment analysis to effectiveness analysis”, Journal of the Operational Research Society, 39(8), 725-734.
[20] Heydari A., Yousefzadeh H. (2016). “A new measure for evaluating the efficiency of human’s resources in university”, Control and Optimization in Applied Mathematics, 1(1), 41-53.
[21] Karsak E.E., Ahiska S.S. (2005). “Practical common weight multi-criteria decision-making approach with an improved discriminating power for technology selection”, International Journal of Production Research, 43(8), 1537-1554.
[22] Lam K.F. (2014). “In the determination of the most efficient decision making unit in data envelopment analysis”, Computers and Industrial Engineering, 79, 76-84.
[23] Li X.B., Reeves G.R. (1999). “A multiple criteria approach to data envelopment analysis”, European Journal of Operational Research, 115, 507-517.
[24] Liu F.H.F., Peng H.H. (2008). “Ranking of units on the DEA frontier with common weights”, Computers and Operations Research, 35(5), 1624-1637.
[25] Martello S., Pisinger D., Toth P. (2000). “New trends in exact algorithms for the 0±1 knapsack problem”, European Journal of Operational Research, 123, 325-332.
[26] Özsoy V.S., Örkcü H.H., Örkcü M. (2021 a). “A simplistic approach without epsilon to choose the most eficient unit in data envelopment analysis”. Expert Systems with Applications, 168, 114472.
[27] Özsoy V.S., Örkcü M., Örkcü H.H. (2021 b). “A minimax approach for selecting the overall and stage-level most eficient unit in two stage production processes”. Annals of Operations Research, 300, 137-169.
[28] Roll Y., Golany B. (1993). “Alternate methods of treating factor weights in DEA”, Omega, 21, 99-109.
[29] Rostamy-Malkhalifeh M., Poudineh E., Payan A. (2018). “A fully fuzzy method of network data envelopment analysis for assessing revenue efficiency based on ranking functions”, Control and Optimization in Applied Mathematics, 3(2), 77-96.
[30] Salahi M., Toloo M. (2017). “In the determination of the most efficient decision-making unit in data envelopment analysis: A comment”. Computers & Industrial Engineering, 104, 216-218.
[31] Seiford L.M., Thrall R.M. (1990). “Recent developments in DEA, the mathematical programming approach to frontier analysis”, Journal of Econometrics, 46, 7-38.
[32] Sexton T.R. (1986). “The methodology of data envelopment analysis. In R. H. Silkman (Ed.), Measuring eficiency: An assessment of data envelopment analysis”, Jossey-Bass, San Francisco, 7-29.
[33] Sexton T.R., Silkman R.H., Hogan A.J. (1986). “Data envelopment analysis: Critique and extensions. In R. H. Silkman (Ed.), Measuring efficiency: An assessment of data envelopment analysis”, Jossey-Bass, San Francisco, 73-105.
[34] Shang J., Sueyoshi T. (1995). “A unified framework for the selection of flexible manufacturing system”, European Journal of Operational Research, 85, 297-315.
[35] Sinuany-Stern Z., Mehrez A., Barboy A. (1994). “Academic departments’ efficiency in DEA”, Computers and Operations Research, 21(5), 543-556.
[36] Toloo M. (2012). “On finding the most BCC-efficient DMU: A new integrated MIP–DEA model”, Applied Mathematical Modeling, 36, 1104-1110.
[37] Toloo M. (2013). “The most efficient unit without explicit inputs: An extended MILPDEA model”, Measurement, 46, 3628-3634.
[38] Toloo M. (2015). “Alternative minimax model for finding the most efficient unit in data envelopment analysis”, Computers and Industrial Engineering, 81, 186-194.
[39] Toloo M., Nalchigar S. (2009). “A new integrated DEA model for finding most BCC efficient DMU”, Applied Mathematical Modeling, 33, 597-604.
[40] Toloo M., Nalchigar S., Sohrabi B. (2018). “Selecting most efficient information system projects in presence of user subjective opinions: A DEA approach”. Central European Journal of Operations Research, 26, 1027-1051.
[41] Toloo M., Salahi M. (2018). “A powerful discriminative approach for selecting the most efficient unit in DEA”. Computers & Industrial Engineering, 115, 269-277.
[42] Torgersen A.M., Forsund F.R., Kittelsen S.A.C. (1996). “Slack-adjusted efficiency measures and ranking of eficient units”, The Journal of Productivity Analysis, 7, 379-398.
[43] Wang Y.H.B., Beasley J. E. (1990). “Restricting weight flexibility in data envelopment analysis”, Journal of the Operational Research Society, 41(9), 829-835.
[44] Wang Y.M., Jiang P. (2012). “Alternative mixed integer linear programming models for identifying the most efficient decision-making unit in data envelopment analysis”, Computers and Industrial Engineering, 62, 546-553.
[45] Yousefzadeh H. R., Teimuri A., Heidari A. (2021). “HF-GDEA: Hybrid fuzzy approach to integrate ranking of goal models in DEA”, Journal of Decisions and Operations Research, 6(1), 56-74. | ||
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