Subject Areas : International Journal of Data Envelopment Analysis
Leila Emami 1 , Farhad Hosseinzadeh Lotfi 2 , Mohsen Rostamy 3
1 -
2 -
3 - Department of Mathematics, science and research Branch, Islamic Azad University, Tehran, Iran
Keywords:
Abstract :
References:
[1] Amirteimoori, A., Fouladvand, M., & Kordrostami, S. (2017). Efficiency measurement using nonparametric production analysis in the presence of undesirable outputs. Application to power plants. Operations research and decisions, 27(3), 5-20.
[2] Amirteimoori, A., Kordrostami, S., & Sarparast, M. (2006). Modeling undesirable factors in data envelopment analysis. Applied Mathematics and Computation, 180(2), 444-452.
[3] Amirteimoori, A., & Masrouri, S. (2021). DEA-based competition strategy in the presence of undesirable products: an application to paper mills. Operations Research and Decisions, 31(2).
[4] Bian, Y., Liang, N., & Xu, H. (2015). Efficiency evaluation of Chinese regional industrial systems with undesirable factors using a two-stage slacks-based measure approach. Journal of Cleaner Production, 87, 348-356.
[5] Charnes A, Cooper WW, Rhodes E . Measuring the efficiency of decision-making units. European Journal of Operational Research 1978;2(6):429–44.
[6] Chen, C. M., Du, J., Huo, J., & Zhu, J. (2012). Undesirable factors in integer-valued DEA: Evaluating the operational efficiencies of city bus systems considering safety records. Decision Support Systems, 54(1), 330-335.
[7] Chen, S., Li, A., Hu, L., & N’Drin, M. G. R. (2024). Understanding the efficiency in generating human development in sub-Saharan Africa: A two-stage network DEA approach. Social Indicators Research, 171(1), 295-324.
[8] Chen, Y. C., Chiu, Y. H., & Chiu, C. J. (2020). The performance evaluation of banks considering risk: an application of undesirable relation network DEA. International transactions in operational research, 27(2), 1101-1120.
[9] Färe, R., & Grosskopf, S. (2003). Nonparametric productivity analysis with undesirable outputs: comment. American journal of agricultural economics, 85(4), 1070-1074.
[10] Färe, R., & Grosskopf, S. (2009). A comment on weak disposability in nonparametric production analysis. American Journal of Agricultural Economics, 91(2), 535-538.
[11] Fare, R., Grosskopf, S., & pasurka, C. (2013). Joint production of Good and Bad Outputs with a Network Application. Encyclopedia of Energy, Natural Resource, and Environmental Economics, 2, 109-118.
[12] Farrell, M. J. (1957). The measurement of productive efficiency. Journal of the royal statistical society: series A (General), 120(3), 253-281.
[13] Feng, Q., & Wu, Z. (2023). Allocating a fixed cost as a reduction of outputs in a non-cooperative decision-making environment: A data envelopment analysis approach. Journal of the Operational Research Society, 74(6), 1507-1519.
[14] Fouladvand, m. (2017). Undesirable Outputs in production process with weak disposability assumption in data envelopment analysis, Ph.D. thesis in Mathematics, Faculty of Science, Islamic Azad University, Science and Research Branch of Tehran (Giulan).
[15] Hailu, A., & Veeman, T.S. (2001). Non-parametric productivity analysis with undesirable outputs: an application to the Canadian pulp and paper industry, American Journal of Agricultural Economics, 83, 605-616.
[16] Izadikhah, M., & Farzipoor Saen, R. (2018). Assessing sustainability of supply chains by chance– constrained two– stage DEA model in the presence of undesirable factors, Camputers&operations Research, 100, 343-367.
[17] Jahanshahloo, G.R., Hadi Vencheh, A., Foroughi, A.A., & Kazemi Matin, R. (2004). Inputs/outputs estimation in DEA when some factors are undesirable, Applied Mathematics and Computation, 156, 19-32.
[18] Jahanshahloo, G.R., Hosseinzadeh Lotfi, F., Shoja, N., Tohidi, G., & Razavyan, S. (2005). Undesirable inputs and outputs in DEA models, Applied Mathematics and Computation, 169, 917-925.
[19] Kalhor, A., & KazemiMatin, R. (2018). Study the effects of abatement factors of weakdisposability in network data envelopment analysis with undesirable outputs, Journal of operational reearch and its applications, 15, 103-121.
[20] Khoshandam, L., & Nematizadeh, M. (2024). An inverse network DEA model for two-stage processes in the presence of undesirable factors. Journal of Applied Research on Industrial Engineering, 11(2), 179-194.
[21] Kordrostami, S., & Amirteimoori, A. (2005). Un-desirable factors in multi-component performance measurement. Applied Mathematics and Computation, 171(2), 721-729.
[22] Kuosmanen, T. (2005). Weak disposability in nonparametric production analysis with undesirable outputs. American journal of agricultural economics, 87(4), 1077-1082.
[23] Kuosmanen, T., & Podinovski, V. (2009). Weak disposability in nonparametric production analysis: reply to Färe and Grosskopf. American journal of agricultural economics, 91(2), 539-545.
[24] Liu, W., Zhou, Z., Ma, C., Liu, D., & Shen, W. (2015). Two-stage DEA models with undesirable input-intermediate-outputs. Omega, 56, 74-87.
[25] Lozano, S., Gutiérrez, E., & Moreno, P. (2013). Network DEA approach to airports performance assessment considering undesirable outputs. Applied Mathematical Modelling, 37(4), 1665-1676.
[26] Ma, H., Geng, B., Fu, Y., Sun, Y., & Sun, Z. (2022). Efficiency analysis of industrial water treatment in China based on two-stage undesirable fixed-sum output DEA model. Journal of Systems Science and Information, 9(6), 660-680.
[27] Maghbouli, M., Amirteimoori, A., & Kordrostami, S. (2014). Two-stage network structures with undesirable outputs: A DEA based approach. Measurement, 48, 109-118.
[28] Monzeli, A., Daneshian, B., Tohidi, G., Sanei, M., & Razavian, S. (2020). Efficiency study with undesirable inputs and outputs in DEA. Journal of fuzzy extension and applications, 1(1), 73-80.
[29] Najari Alamuti, M., Kazemi Matin, R., Khounsiavash, M., & Moghadas, Z. (2021). Evaluation of the Performance in Dynamic Network Data Envelopment Analysis with Undesirable Outputs. Iranian Journal of Optimization, 13(3), 169-179.
[30] Omrani, H., Oveysi, Z., Emrouznejad, A., & Teplova, T. (2023). A mixed-integer network DEA with shared inputs and undesirable outputs for performance evaluation: Efficiency measurement of bank branches. Journal of the Operational Research Society, 74(4), 1150-1165.
[31] Omrani, H., Yang, Z., Karbasian, A., & Teplova, T. (2023). Combination of top-down and bottom-up DEA models using PCA: A two-stage network DEA with shared input and undesirable output for evaluation of the road transport sector. Socio-Economic Planning Sciences, 89, 101706.
[32] Rostamy-Malkhalifeh, M., Sanei, M., & Saleh, H. (2009). A New Method for Solving Fuzzy DEA Models by Trapeziodal Approximation. Journal of Mathematical Extension.
[33] Saleh, H. I. L. D. A., Hosseinzadeh Lotfi, F., Rostmay-Malkhalifeh, M., & Shafiee, M. (2021). Provide a mathematical model for selecting suppliers in the supply chain based on profit efficiency calculations. Journal of New Researches in Mathematics, 7(32), 177-186.
[34] Saleh, H., Hosseinzadeh, F., Rostamy, M., & Shafiee, M. (2020). Performance evaluation and specifying of return to scale in network DEA. Journal of advanced mathematical modeling, 10(2), 309-340.
[35] Sarkhosh-Sara, A., Tavassoli, M., & Heshmati, A. (2020). Assessing the sustainability of high-, middle-, and low-income countries: A network DEA model in the presence of both zero data and undesirable outputs. Sustainable Production and Consumption, 21, 252-268.
[36] Scheel, H. (2001). Undesirable outputs in efficiency valuations. European journal of operational research, 132(2), 400-410.
[37] Shafiee, M., Hosseinzade Lotfi, F., & Saleh, H. (2021). Benchmark forecasting in data envelopment analysis for decision making units. International Journal of Industrial Mathematics, 13(1), 29-42.
[38] Shafiee, M., Saleh, H., & Ziyari, R. (2022). Projects efficiency evaluation by data envelopment analysis and balanced scorecard. Journal of decisions and operations research, 6(Special Issue), 1-19.
[39] Sharafi, H., Lotfi, F. H., Jahanshahloo, G. R., & Razipour-GhalehJough, S. (2020). Fair allocation fixed cost using cross-efficiency based on Pareto concept. Asia-Pacific Journal of Operational Research, 37(01), 1950036.
[40] Shi, X., Emrouznejad, A., & Yu, W. (2021). Overall efficiency of operational process with undesirable outputs containing both series and parallel processes: A SBM network DEA model. Expert Systems with Applications, 178, 115062.
[41] Soofizadeh, S., & Fallahnejad, R. (2022). A bargaining game model for performance evaluation in network DEA considering shared inputs in the presence of undesirable outputs. Journal of Mathematical Modeling, 10(2), 227-245.
[42] Streimikis, J., & Saraji, M. K. (2022). Green productivity and undesirable outputs in agriculture: A systematic review of DEA approach and policy recommendations. Economic research-Ekonomska istraživanja, 35(1), 819-853.
[43] Toloo, M., & Hančlová, J. (2020). Multi-valued measures in DEA in the presence of undesirable outputs. Omega, 94, 102041.
[44] Wu, J., Zhu, Q., Chu, J., & Liang, L. (2015). Two-stage network structures with undesirable intermediate outputs reused: a DEA based approach. Computational Economics, 46, 455-477..
[46] Wu, J., Zhu, Q., Ji, X., Chu, J., & Liang, L. (2016). Two-stage network processes with shared resources and resources recovered from undesirable outputs. European journal of operational research, 251(1), 182-197.
[46] Yu, S., Liu, J., & Li, L. (2020). Evaluating provincial eco-efficiency in China: an improved network data envelopment analysis model with undesirable output. Environmental Science and Pollution Research, 27, 6886-6903.
[47] Zhou, S., & Zhiwei, Xu. (2022). Energy efficiency assessment of RCEP member states: A three-stage slack based measurement DEA with undesirable outputs, Energy, 253, 124170.
[1] Amirteimoori, A., Fouladvand, M., & Kordrostami, S. (2017). Efficiency measurement using nonparametric production analysis in the presence of undesirable outputs. Application to power plants. Operations research and decisions, 27(3), 5-20.
[2] Amirteimoori, A., Kordrostami, S., & Sarparast, M. (2006). Modeling undesirable factors in data envelopment analysis. Applied Mathematics and Computation, 180(2), 444-452.
[3] Amirteimoori, A., & Masrouri, S. (2021). DEA-based competition strategy in the presence of undesirable products: an application to paper mills. Operations Research and Decisions, 31(2).
[4] Bian, Y., Liang, N., & Xu, H. (2015). Efficiency evaluation of Chinese regional industrial systems with undesirable factors using a two-stage slacks-based measure approach. Journal of Cleaner Production, 87, 348-356.
[5] Charnes A, Cooper WW, Rhodes E . Measuring the efficiency of decision-making units. European Journal of Operational Research 1978;2(6):429–44.
[6] Chen, C. M., Du, J., Huo, J., & Zhu, J. (2012). Undesirable factors in integer-valued DEA: Evaluating the operational efficiencies of city bus systems considering safety records. Decision Support Systems, 54(1), 330-335.
[7] Chen, S., Li, A., Hu, L., & N’Drin, M. G. R. (2024). Understanding the efficiency in generating human development in sub-Saharan Africa: A two-stage network DEA approach. Social Indicators Research, 171(1), 295-324.
[8] Chen, Y. C., Chiu, Y. H., & Chiu, C. J. (2020). The performance evaluation of banks considering risk: an application of undesirable relation network DEA. International transactions in operational research, 27(2), 1101-1120.
[9] Färe, R., & Grosskopf, S. (2003). Nonparametric productivity analysis with undesirable outputs: comment. American journal of agricultural economics, 85(4), 1070-1074.
[10] Färe, R., & Grosskopf, S. (2009). A comment on weak disposability in nonparametric production analysis. American Journal of Agricultural Economics, 91(2), 535-538.
[11] Fare, R., Grosskopf, S., & pasurka, C. (2013). Joint production of Good and Bad Outputs with a Network Application. Encyclopedia of Energy, Natural Resource, and Environmental Economics, 2, 109-118.
[12] Farrell, M. J. (1957). The measurement of productive efficiency. Journal of the royal statistical society: series A (General), 120(3), 253-281.
[13] Feng, Q., & Wu, Z. (2023). Allocating a fixed cost as a reduction of outputs in a non-cooperative decision-making environment: A data envelopment analysis approach. Journal of the Operational Research Society, 74(6), 1507-1519.
[14] Fouladvand, m. (2017). Undesirable Outputs in production process with weak disposability assumption in data envelopment analysis, Ph.D. thesis in Mathematics, Faculty of Science, Islamic Azad University, Science and Research Branch of Tehran (Giulan).
[15] Hailu, A., & Veeman, T.S. (2001). Non-parametric productivity analysis with undesirable outputs: an application to the Canadian pulp and paper industry, American Journal of Agricultural Economics, 83, 605-616.
[16] Izadikhah, M., & Farzipoor Saen, R. (2018). Assessing sustainability of supply chains by chance– constrained two– stage DEA model in the presence of undesirable factors, Camputers&operations Research, 100, 343-367.
[17] Jahanshahloo, G.R., Hadi Vencheh, A., Foroughi, A.A., & Kazemi Matin, R. (2004). Inputs/outputs estimation in DEA when some factors are undesirable, Applied Mathematics and Computation, 156, 19-32.
[18] Jahanshahloo, G.R., Hosseinzadeh Lotfi, F., Shoja, N., Tohidi, G., & Razavyan, S. (2005). Undesirable inputs and outputs in DEA models, Applied Mathematics and Computation, 169, 917-925.
[19] Kalhor, A., & KazemiMatin, R. (2018). Study the effects of abatement factors of weakdisposability in network data envelopment analysis with undesirable outputs, Journal of operational reearch and its applications, 15, 103-121.
[20] Khoshandam, L., & Nematizadeh, M. (2024). An inverse network DEA model for two-stage processes in the presence of undesirable factors. Journal of Applied Research on Industrial Engineering, 11(2), 179-194.
[21] Kordrostami, S., & Amirteimoori, A. (2005). Un-desirable factors in multi-component performance measurement. Applied Mathematics and Computation, 171(2), 721-729.
[22] Kuosmanen, T. (2005). Weak disposability in nonparametric production analysis with undesirable outputs. American journal of agricultural economics, 87(4), 1077-1082.
[23] Kuosmanen, T., & Podinovski, V. (2009). Weak disposability in nonparametric production analysis: reply to Färe and Grosskopf. American journal of agricultural economics, 91(2), 539-545.
[24] Liu, W., Zhou, Z., Ma, C., Liu, D., & Shen, W. (2015). Two-stage DEA models with undesirable input-intermediate-outputs. Omega, 56, 74-87.
[25] Lozano, S., Gutiérrez, E., & Moreno, P. (2013). Network DEA approach to airports performance assessment considering undesirable outputs. Applied Mathematical Modelling, 37(4), 1665-1676.
[26] Ma, H., Geng, B., Fu, Y., Sun, Y., & Sun, Z. (2022). Efficiency analysis of industrial water treatment in China based on two-stage undesirable fixed-sum output DEA model. Journal of Systems Science and Information, 9(6), 660-680.
[27] Maghbouli, M., Amirteimoori, A., & Kordrostami, S. (2014). Two-stage network structures with undesirable outputs: A DEA based approach. Measurement, 48, 109-118.
[28] Monzeli, A., Daneshian, B., Tohidi, G., Sanei, M., & Razavian, S. (2020). Efficiency study with undesirable inputs and outputs in DEA. Journal of fuzzy extension and applications, 1(1), 73-80.
[29] Najari Alamuti, M., Kazemi Matin, R., Khounsiavash, M., & Moghadas, Z. (2021). Evaluation of the Performance in Dynamic Network Data Envelopment Analysis with Undesirable Outputs. Iranian Journal of Optimization, 13(3), 169-179.
[30] Omrani, H., Oveysi, Z., Emrouznejad, A., & Teplova, T. (2023). A mixed-integer network DEA with shared inputs and undesirable outputs for performance evaluation: Efficiency measurement of bank branches. Journal of the Operational Research Society, 74(4), 1150-1165.
[31] Omrani, H., Yang, Z., Karbasian, A., & Teplova, T. (2023). Combination of top-down and bottom-up DEA models using PCA: A two-stage network DEA with shared input and undesirable output for evaluation of the road transport sector. Socio-Economic Planning Sciences, 89, 101706.
[32] Rostamy-Malkhalifeh, M., Sanei, M., & Saleh, H. (2009). A New Method for Solving Fuzzy DEA Models by Trapeziodal Approximation. Journal of Mathematical Extension.
[33] Saleh, H. I. L. D. A., Hosseinzadeh Lotfi, F., Rostmay-Malkhalifeh, M., & Shafiee, M. (2021). Provide a mathematical model for selecting suppliers in the supply chain based on profit efficiency calculations. Journal of New Researches in Mathematics, 7(32), 177-186.
[34] Saleh, H., Hosseinzadeh, F., Rostamy, M., & Shafiee, M. (2020). Performance evaluation and specifying of return to scale in network DEA. Journal of advanced mathematical modeling, 10(2), 309-340.
[35] Sarkhosh-Sara, A., Tavassoli, M., & Heshmati, A. (2020). Assessing the sustainability of high-, middle-, and low-income countries: A network DEA model in the presence of both zero data and undesirable outputs. Sustainable Production and Consumption, 21, 252-268.
[36] Scheel, H. (2001). Undesirable outputs in efficiency valuations. European journal of operational research, 132(2), 400-410.
[37] Shafiee, M., Hosseinzade Lotfi, F., & Saleh, H. (2021). Benchmark forecasting in data envelopment analysis for decision making units. International Journal of Industrial Mathematics, 13(1), 29-42.
[38] Shafiee, M., Saleh, H., & Ziyari, R. (2022). Projects efficiency evaluation by data envelopment analysis and balanced scorecard. Journal of decisions and operations research, 6(Special Issue), 1-19.
[39] Sharafi, H., Lotfi, F. H., Jahanshahloo, G. R., & Razipour-GhalehJough, S. (2020). Fair allocation fixed cost using cross-efficiency based on Pareto concept. Asia-Pacific Journal of Operational Research, 37(01), 1950036.
[40] Shi, X., Emrouznejad, A., & Yu, W. (2021). Overall efficiency of operational process with undesirable outputs containing both series and parallel processes: A SBM network DEA model. Expert Systems with Applications, 178, 115062.
[41] Soofizadeh, S., & Fallahnejad, R. (2022). A bargaining game model for performance evaluation in network DEA considering shared inputs in the presence of undesirable outputs. Journal of Mathematical Modeling, 10(2), 227-245.
[42] Streimikis, J., & Saraji, M. K. (2022). Green productivity and undesirable outputs in agriculture: A systematic review of DEA approach and policy recommendations. Economic research-Ekonomska istraživanja, 35(1), 819-853.
[43] Toloo, M., & Hančlová, J. (2020). Multi-valued measures in DEA in the presence of undesirable outputs. Omega, 94, 102041.
[44] Wu, J., Zhu, Q., Chu, J., & Liang, L. (2015). Two-stage network structures with undesirable intermediate outputs reused: a DEA based approach. Computational Economics, 46, 455-477..
[46] Wu, J., Zhu, Q., Ji, X., Chu, J., & Liang, L. (2016). Two-stage network processes with shared resources and resources recovered from undesirable outputs. European journal of operational research, 251(1), 182-197.
[46] Yu, S., Liu, J., & Li, L. (2020). Evaluating provincial eco-efficiency in China: an improved network data envelopment analysis model with undesirable output. Environmental Science and Pollution Research, 27, 6886-6903.
[47] Zhou, S., & Zhiwei, Xu. (2022). Energy efficiency assessment of RCEP member states: A three-stage slack based measurement DEA with undesirable outputs, Energy, 253, 124170.
