Multi-Period Efficiency Analysis with Flexible Measures: Oriented and Non-Oriented Approaches

Abolghasem, S., Toloo, M., & Amézquita, S. (2019). Cross-efficiency evaluation in the presence of flexible measures with an application to healthcare systems. Health Care Management Science, 22(3), 512-533. https://doi.org/https://doi.org/10.1007/s10729-019-09478-0

Alizadeh Afrouzi, M. (2020). The Malmquist productivity index with the flexible variables. Journal of Operational Research and Its Applications, 17 (4), 89-98. (In Persian)

Amirteimoori, A., & Emrouznejad, A. (2011). Flexible measures in production process: A DEA-based approach. RAIRO-Operations Research, 45(01), 63-74.

Amirteimoori, A., Emrouznejad, A., & Khoshandam, L. (2013). Classifying flexible measures in data envelopment analysis: A slack-based measure. Measurement, 46(10), 4100-4107.

Amirteimoori, H., Amirteimoori, A., & Amirteimoori, A. (2020). Sustainability assessment in the presence of undesirable factors over time: A case on gas companies. Expert Systems, 37(3), e12316. https://doi.org/10.1111/exsy.12316

Banker, R. D. (1984). Estimating most productive scale size using data envelopment analysis. European journal of operational research, 17(1), 35-44. https://doi.org/https://doi.org/http://dx.doi.org/10.1016/0377-2217(84)90006-7

Bansal, P., & Mehra, A. (2018). Multi-period additive efficiency measurement in data envelopment analysis with non-positive and undesirable data. OPSEARCH, 55(3), 642-661. https://doi.org/https://doi.org/10.1007/s12597-018-0343-z

Beasley, J. E. (1990). Comparing university departments. Omega, 18(2), 171-183.

Boďa, M. (2020). Classifying flexible measures in data envelopment analysis: A slacks-based measure – A comment. Measurement, 150, 107045. https://doi.org/10.1016/j.measurement.2019.107045

Caves, D. W., Christensen, L. R., & Diewert, W. E. (1982). The economic theory of index numbers and the measurement of input, output, and productivity. Econometrica, 50(6), 1393-1414. https://doi.org/https://doi.org/10.2307/1913388

Charnes, A., Clark, C. T., Cooper, W. W., & Golany, B. (1985). A developmental study of data envelopment analysis in measuring the efficiency of maintenance units in the US air forces. Annals of Operations Research, 2(1),  95-112.

Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2(6), 429-444. //www.sciencedirect.com/science/article/pii/0377221778901388

Chen, W.-C. (2014). Revisiting dual-role factors in data envelopment analysis: Derivation and implications. IIE Transactions, 46(7), 653-663.

Cook, W. D., & Seiford, L. M. (2009). Data envelopment analysis (DEA) – Thirty years on. European Journal of Operational Research, 192(1), 1-17. https://doi.org/10.1016/j.ejor.2008.01.032

Cook, W. D., & Zhu, J. (2007). Classifying inputs and outputs in data envelopment analysis. European Journal of Operational Research, 180(2), 692-699.

Ebrahimi, B., & Hajizadeh, E. (2021). A novel DEA model for solving performance measurement problems with flexible measures: An application to Tehran Stock Exchange. Measurement, 179, 109444. https://doi.org/10.1016/j.measurement.2021.109444

Esfidani, S., Hosseinzadeh Lotfi, F., Razavyan, S., & Ebrahimnejad, A. (2020). A slacks-based measure approach for efficiency decomposition in multi-period two-stage systems. RAIRO-Oper. Res., 54(6), 1657-1671. https://doi.org/https://doi.org/10.1051/ro/2019113

Esmaeilzadeh, A., & Hadi-Vencheh, A. (2013). A super-efficiency model for measuring aggregative efficiency of multi-period production systems. Measurement, 46(10), 3988-3993. https://doi.org/https://doi.org/http://dx.doi.org/10.1016/j.measurement.2013.07.023

Fare, R., & Grosskopf, S. (1996). Intertemporal production frontiers with dynamic DEA. Kluwer Academic Publisher.

Fare, R., Grosskopf, S., Norris, M., & Zhang, Z. (1994). Productivity growth, technical progress, and efficiency change in industrialized countries. The American Economic Review, 84(1), 66-83. http://www.jstor.org/stable/2117971

Jablonsky, J. (2016). Efficiency analysis in multi-period systems: an application to performance evaluation in Czech higher education. Central European Journal of Operations Research, 24(2), 283-296. http://dx.doi.org/10.1007/s10100-015-0401-z

Jahani Sayyad Noveiri, M., & Kordrostami, S. (2019). Multi-period sustainability performance in the presence of discrete and bounded measures. International Journal of Industrial Engineering & Production Research, 30, 507-528.

Jahani Sayyad Noveiri, M., Kordrostami, S., & Amirteimoori, A. (2018). Detecting the multi-period performance and efficiency changes of systems with undesirable outputs. Discrete Mathematics, Algorithms and Applications, 10(03), 1850034. https://doi.org/https://doi.org/10.1142/s1793830918500349

Jahani Sayyad Noveiri, M., Kordrostami, S., & Amirteimoori, A. (2019). An alternative DEA approach for evaluating the system efficiency in the presence of dual-role factors. 26(2). https://journals.sfu.ca/ijietap/index.php/ijie/article/view/3119

Jahani Sayyad Noveiri, M., Kordrostami, S., & Amirteimoori, A. (2020). Efficiency evaluation of closed-loop supply chains with proportional dual-role measures. Kybernetika, 56(4), 695-721. https://doi.org/https://doi.org/10.14736/kyb-2020-4-0695

Joulaei, M., Mirbolouki, M., & Bagherzadeh-Valami, H. (2019). Classifying fuzzy flexible measures in data envelopment analysis. Journal of Intelligent & Fuzzy Systems, 36, 3791-3800. https://doi.org/https://doi.org/10.3233/JIFS-18698

Kao, C., & Hwang, S.-N. (2014). Multi-period efficiency and Malmquist productivity index in two-stage production systems. European journal of operational research, 232(3), 512-521. https://doi.org/https://doi.org/http://dx.doi.org/10.1016/j.ejor.2013.07.030

Kao, C., & Liu, S.-T. (2014). Multi-period efficiency measurement in data envelopment analysis: The case of Taiwanese commercial banks. Omega, 47, 90-98. //www.sciencedirect.com/science/article/pii/S0305048313000881

Kordrostami, S., & Jahani Sayyad Noveiri, M. (2012). Evaluating the efficiency of decision making units in the presence of flexible and negative data. Indian Journal of Science and Technology, 5(12), 3776-3782.

Kordrostami, S., & Jahani Sayyad Noveiri, M. (2014). Evaluating the performance and classifying the interval data in data envelopment analysis. International Journal of Management Science and Engineering Management, 9(4), 243-248. https://doi.org/https://doi.org/10.1080/17509653.2014.900655

Kordrostami, S., & Jahani Sayyad Noveiri, M. (2017). Evaluating the efficiency of firms with negative data in multi-period systems: An application to bank data. International Journal of Industrial Mathematics, 9(1), 27-35.

Kordrostami, S., & Jahani Sayyad Noveiri, M. (2017). Evaluating the multi-period systems efficiency in the presence of fuzzy data. Fuzzy Information and Engineering, 9(3), 281-298. https://doi.org/10.1016/j.fiae.2017.09.003

Kordrostami, S., & Jahani Sayyad Noveiri, M. (2021). Performance analysis in the presence of bounded, discrete and flexible measures. Operations Research and Decisions, 31(3), 41-65.

Kordrostami, S., Amirteimoori, A., & Jahani Sayyad Noveiri, M. (2019). Inputs and outputs classification in integer-valued data envelopment analysis. Measurement, 139, 317-325. https://doi.org/10.1016/j.measurement.2019.02.087

Kordrostami, S., Farajpour‎, G., & Jahani Sayyad Noveiri, M. (2014). Evaluating the efficiency and classifying the fuzzy data: A DEA based ‎approach. International Journal of Industrial Mathematics, 6(4), 321-327. http://ijim.srbiau.ac.ir/article_4836_991280d1e4d3b379ff0af4d6a82e4339.pdf

Kuah, C. T., & Wong, K. Y. (2011). Efficiency assessment of universities through data envelopment analysis. Procedia Computer Science, 3, 499-506.

Liu, D. (2017). Evaluating the multi-period efficiency of East Asia airport companies. Journal of Air Transport Management, 59, 71-82. https://doi.org/https://doi.org/http://dx.doi.org/10.1016/j.jairtraman.2016.11.009

Liu, S.T. (2016). Multi-period efficiency measurement with fuzzy Data and weight restrictions. In Handbook of Operations Analytics Using Data Envelopment Analysis (pp. 89-111). Springer.

Nemoto, J., & Goto, M. (1999). Dynamic data envelopment analysis: modeling intertemporal behavior of a firm in the presence of productive inefficiencies. Economics Letters, 64(1), 51-56.

Park, K. S., & Park, K. (2009). Measurement of multiperiod aggregative efficiency. European Journal of Operational Research, 193(2), 567-580. //www.sciencedirect.com/science/article/pii/S037722170701123X

Pastor, J. T., & Lovell, C. A. K. (2005). A global Malmquist productivity index. Economics Letters, 88(2), 266-271. https://doi.org/https://doi.org/http://dx.doi.org/10.1016/j.econlet.2005.02.013

Razavi Hajiagha, S. H., Hashemi, S. S., Amoozad Mahdiraji, H., & Azaddel, J. (2015). Multi-period data envelopment analysis based on Chebyshev inequality bounds. Expert Systems with Applications, 42(21), 7759-7767. https://doi.org/https://doi.org/http://dx.doi.org/10.1016/j.eswa.2015.06.008

Sedighi Hassan Kiyadeh, M., Saati, S., & Kordrostami, S. (2019). Improvement of models for determination of flexible factor type in data envelopment analysis. Measurement, 137, 49-57. https://doi.org/10.1016/j.measurement.2019.01.042

Tajeddini, K. (2015). Exploring the antecedents of effectiveness and efficiency. International Journal of Hospitality Management, 49, 125-135.

Tavana, M., Izadikhah, M., Toloo, M., & Roostaee, R. (2021). A new non-radial directional distance model for data envelopment analysis problems with negative and flexible measures. Omega, 102, 102355. https://doi.org/10.1016/j.omega.2020.102355

Tavana, M., Khalili-Damghani, K., Santos Arteaga, F. J., & Hosseini, A. (2019). A fuzzy multi-objective multi-period network DEA model for efficiency measurement in oil refineries. Computers & Industrial Engineering, 135, 143-155. https://doi.org/https://doi.org/10.1016/j.cie.2019.05.033

Tohidi, G., & Matroud, F. (2017). A new non-oriented model for classifying flexible measures in DEA. Journal of the Operational Research Society, 68(9), 1019-1029. https://doi.org/https://doi.org/10.1057/s41274-017-0207-6

Toloo, M. (2012). Alternative solutions for classifying inputs and outputs in data envelopment analysis. Computers & Mathematics with Applications, 63(6), 1104-1110.

Toloo, M. (2014). Notes on classifying inputs and outputs in data envelopment analysis: A comment. European Journal of Operational Research, 235(3), 810-812.

Toloo, M., Allahyar, M., & Hančlová, J. (2018). A non-radial directional distance method on classifying inputs and outputs in DEA: Application to banking industry. Expert Systems with Applications, 92, 495-506. https://doi.org/10.1016/j.eswa.2017.09.034

Wang, X., Hu, H., & Wei, Y. (2022). Multi-period two-stage DEA model: Measuring performance of integrated production and service systems in Chinese cable TV industry. INFOR: Information Systems and Operational Research, 60(3), 385-406.