Subject Areas : Electrical Engineering

Mohammad Amirkhan ¹

1 - Department of Industrial Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran.

Received: 2021-03-15 Accepted : 2021-06-14 Published : 2021-06-01

Keywords:

References:

[1] W.W. Cooper, L.M. Seiford, and K. Tone, "Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References and DEA-Solver Software", Boston: Kluwer Academic Publishers, 2000.

[2] M. Amirkhan, H. Didehkhani, K. Khalili-Damghani, and A. Hafezalkotob, "Measuring performance of a three-stage network structure using data envelopment analysis and Nash bargaining game: a supply chain application", International Journal of Information Technology & Decision Making, Vol. 17, No. 05: 1429-1467, 2018.

[3] A. Emrouznejad and M. Tavana, "Performance measurement with fuzzy data envelopment analysis", Studies in Fuzziness and Soft Computing, Springer-Verlag Berlin Heidelberg, 2014.

[4] A. Ben-Tal and A. Nemirovski, "Robust solutions of linear programming problems contaminated with uncertain data" Mathematical programming, Vol. 88, No. 3: 411-424, 2000.

[5] D. Bertsimas and M. Sim, "The price of robustness", Operations Research Letters, Vol. 52, No. 1: 35-53, 2004.

[6] S.J. Sadjadi and H. Omrani, "Data envelopment analysis with uncertain data: An application for Iranian electricity distribution companies", Energy Policy, Vol. 36, No. 11: 4247-4254, 2008.

[7] M.E. Bruni, D. Conforti, P. Beraldi, and E. Tundis, "Probabilistically constrained models for efficiency and dominance in DEA", International Journal of Production Economics, Vol. 117, No. 1: 219-228, 2009.

[8] K.C. Land, C.K. Lovell, and S. Thore, "Chance‐constrained data envelopment analysis", Managerial decision economics, Vol. 14, No. 6: 541-554, 1993.

[9] L.A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning—I", Information sciences, Vol. 8, No. 3: 199-249, 1975.

[10] A.L. Soyster, "Convex programming with set-inclusive constraints and applications to inexact linear programming", Operations research, Vol. 21, No. 5: 1154-1157, 1973.

[11] L. El Ghaoui and H. Lebret, "Robust solutions to least-squares problems with uncertain data", SIAM Journal on matrix analysis applications, Vol. 18, No. 4: 1035-1064, 1997.

[12] A. Ben-Tal and A. Nemirovski, "Robust convex optimization", Mathematics of operations research, Vol. 23, No. 4: 769-805, 1998.

[13] S.J. Sadjadi and H. Omrani, "A bootstrapped robust data envelopment analysis model for efficiency estimating of telecommunication companies in Iran", Telecommunications Policy, Vol. 34, No. 4: p. 221-232, 2010.

[14] S.J. Sadjadi, H. Omrani, S. Abdollahzadeh, M. Alinaghian, and H. Mohammadi, "A robust super-efficiency data envelopment analysis model for ranking of provincial gas companies in Iran", Expert Systems with Applications, Vol. 38, No. 9: 10875-10881, 2011.

[15] J.M. Mulvey, R.J. Vanderbei, and S.A. Zenios, "Robust optimization of large-scale systems" Operations research, Vol. 43, No. 2: 264-281, 1995.

[16] A. Hafezalkotob, E. Haji-Sami, and H. Omrani, "Robust DEA under discrete uncertain data: a case study of Iranian electricity distribution companies", Journal of Industrial Engineering International, Vol. 11, No. 2: 199-208, 2015.

[17] D. Bertsimas, D. Pachamanova, and M. Sim, "Robust linear optimization under general norms", Operations Research Letters, Vol. 32, No. 6:  510-516, 2004.

[18] P .Peykani, E. Mohammadi, A. Jabbarzadeh, and A. Jandaghian, "Utilizing robust data envelopment analysis model for measuring efficiency of stock, a case study: Tehran stock exchange", Journal of New Researches in Mathematics, Vol. 1, No. 4: 5-24, 2016.

[19] M. Esfandiari, A. Hafezalkotob, K. Khalili-Damghani, and M. Amirkhan, "Robust two-stage DEA models under discrete uncertain data", International Journal of Management Science and Engineering Management, Vol. 12, No. 3:  216-224, 2017.

[20] S. Yousefi, H. Shabanpour, R. Fisher, and R.  Farzipoor Saen, "Evaluating and ranking sustainable suppliers by robust dynamic data envelopment analysis", Measurement, Vol. 83: 72-85, 2016.

[21] M. Rabbani, H. Farrokhi-Asl, and N. Manavizadeh, "Using Robust-DEA optimization approach to analyze performance and efficiency of a mine in north of Iran", Management Science Letters, Vol. 7, No. 2: 97-110, 2017.

[22] M. Amirkhan, H. Didehkhani, K. Khalili-Damghani, and A. Hafezalkotob, "Mixed uncertainties in data envelopment analysis: A fuzzy-robust approach", Expert Systems with Applications, Vol. 103: 218-237, 2018.

[23]. P. Peykani, E. Mohammadi, R. Farzipoor Saen, S.J. Sadjadi, and M. Rostamy-Malkhalifeh, "Data envelopment analysis and robust optimization: A review", Vol. 37, No. 4: 1-30, 2020.

[24] H. Omrani, M. Valipour, and A. Emrouznejad, "A novel best worst method robust data envelopment analysis: Incorporating decision makers" preferences in an uncertain environment", Operations Research Perspectives, Vol. 8: 100184, 2021.

[25] H. Omrani, M. Valipour, and A. Emrouznejad, "A robust cross-efficiency data envelopment analysis model with undesirable outputs", Expert Systems with Applications, Vol. 167: 114117, 2021.

[26] A. Charnes, W.W. Cooper, and E. Rhodes, "Measuring the efficiency of decision making units", European journal of operational research, Vol. 2, No. 6: 429-444, 1978.

[27] R.D. Banker, A. Charnes, and W.W. Cooper, "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis", Management Science, Vol. 30, No. 9: 1078-1092, 1984.