Classifying Flexible Measures in Two-Stage Network DEA
الموضوعات : مجله بین المللی ریاضیات صنعتی
S. N. Hosseini Monfared
1
,
M. R. Mozaffari
2
,
M. Rostamy Malkhalifeh
3
1 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
2 - Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran.
3 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
الکلمات المفتاحية: Data Envelopment Analysis, Classifying, flexible measures, CRS and VRS assumptions, General two-stage network,
ملخص المقالة :
In this paper we propose FNDEA models based on the multiplier model under constant returns to scale (CRS) and variable returns to scale (VRS) in general two-stage network structures to classify flexible measures, in which each one of the flexible measure is treated as either input or output to maximize the overall network efficiency of the DMU under evaluation.
1] A. Amirteimoori, A. Emrouznejad, Flexible measures in production process: A DEAbased approach, RAIRO - Operations Research 45 (2011) 63-74. http://dx.doi. org/doi.org/10.1051/ro/2011103/
[2] A. Amirteimoori, A. Emrouznejad, L. Khoshandam, Classifying flexible measures in data envelopment analysis: A slack-based measure, Measurement 46 (2010) 4100-4107. http://dx.doi.org/doi.org/10.1016measurement.2013.08.019/
[3] S. Ang, C. M. Chen, Pitfalls of decomposition weights in the additive multi-stage DEA model, Omega 58 (2016) 139-153. http://dx.doi.org/doi.org/10.1016/j. omega.2015.05.008/
[4] Y. Chen, W. D. Cook, N. Li, J. Zhu, http://dx.doi.org/doi.org/10.1016/ .ejor.2008.05.011/
[5] W. D. Cook, J. Zhu, Classifying inputs and outputs in data envelopment analysis, European Journal of Operational Research 180 (2007) 692-699. http://dx.doi.org/doi. org/10.1016/.ejor2006.03.048/
[6] W. D. Cook, J. Zhu, G. Bi, F. Yang, Network DEA: Additive efficiency decomposition, European Journal of Operational Research 207 (2010) 1122-1129. http://dx.doi.org/doi.org/10.1016/.ejor.2010.05.006/
[7] D. K. Despotis, G. Koronakos, D. Sotiros, Composition versus decomposition in twostage network DEA: a reverse approach, Journal of Productivity Analysis 45 (2016) 71-87. http://dx.doi.org/doi.org/10.1007/s11123-014-0415-x/
[8] L. Fang, Stage efficiency evaluation in a two-stage network data envelopment analysis ,model with weight priority, Omega 97 (2020) 102-118. http://dx.doi.org/doi.org/10.1016/1.omega.2019.06.007/
[9] C. Guo,R. Abbasi Shureshjani,A. A. Foroughi, J. Zhu, Decomposition weights and overall efficiency in two-stage additive network DEA, European Journal of Operational Research 257 (2017) 896-906. http://dx.doi.org/doi.org/10.1016/j. ejor.2016.08.002/
[10] C. Kao, S. N. Hwang, Efficiency decomposition in two-stage data envelopment analysis: An application to non-life insurance companies in Taiwan, European Journal of Operational Research 185 (2008) 418-429. http://dx.doi.org/doi.org/10. 1016/j.ejor.2006.11.041/
[11] S. Kordrostami, Evaluating the efficiency of decision making units in the presence of flexible and negative data, Indian, Journal of Science and Technology 5 (2012) 1-7. http://dx.doi.org/doi.org/10.17485/ijst/2012/v5i12.20/
[12] S. Kordrostami, A. Amirteimoori, M. J. S. Noveiri, Inputs and outputs classification in integer-valued data envelopment analysis, Measurement 139 (2019) 317-325. http://dx.doi.org/doi.org/10. 1016/j.measurement.2019.02.087/
[13] S. Kordrostami,M . J. S. Noveiri, Evaluating the performance and classifying the interval data in data envelopment analysis, International Journal of Management Science and Engineering Management 9 (2014) 243-248. http://dx.doi.org/doi.org/10.1080/17509653.2014.900655/
[14] Y. Li, Y. Chen, L. Liang, J. Xie, DEA models for extended two-stage network structures, Omega 40 (2012) 611-618.
[15] G. Tohidi, F. Matroud, A new non-oriented http://dx.doi.org/doi.org/10.1057/s41274-017-0207-6/
[16] M. Toloo, On classifying inputs and outputs in DEA: A revised model, European Journal of Operational Research 198 (2018) 358-360. http://dx.doi.org/doi.org/10.1016/j.ejor.2008.08.017/
[17] M. Toloo, Alternative solutions for classifying inputs and outputs in data envelopment analysis, Computers & Mathematics with Applications 63 (2012) 1104-1110. http://dx.doi.org/doi.org/10.1016/j. camwa.2011.12.016/
[18] M. Toloo, M. Allahyar, J. Hanlov, A non-radial directional distance method on classifying inputs and outputs in DEA: Application to banking industry, Expert Systems with Applications 92 (2019) 495-506. http://dx.doi.org/doi.org/10.1016/j.eswa.2017.09.034/
