Eco-Efficiency in two-stage structure;A DDF Approach
الموضوعات :Monireh Zoriehhabib 1 , Mahnaz Maghbouli 2
1 - Department of Mathematics, Islamic Azad University, Sofian Branch, Sofian, Iran
2 - 2Department of Mathematics, Islamic Azad University, Aras Branch, Jolfa, Iran
الکلمات المفتاحية: Data Envelopment Analysis (DEA), Undesirable outputs, Eco-efficiency, Directional Distance Function(DDF), two-stage network structure,
ملخص المقالة :
The importance of environment protection always raises a considerable among the researchers especially when pollutant and undesirable outputs are present. The non-parametric Data Envelopment Analysis (DEA) literature on network-structured performance analysis normally fail to express the undesirable intermediate production in the process. From the production efficiency point of view, symmetrically handling both of the desirable and the undesirable outputs in the assessment process in the two stage network structure is developed in this paper. The motivation of this study is the application of the directional distance function (DDF) to modeling the two-stage network structure with the undesirable intermediate measures upon employing Stackelberg theory. A real case on the thirteen poultry units in Iran has been illustrated to verify the applicability of the proposed approach.
Amirteimoori, A Toloie-Eshlaghi, A.; Homayoonfar, M., 2014. Efficiency
measurement in Two-Stage network structure considering undesirable outputs. International Journal of Industrial Mathematic, 6(1), 65-71.
Banker, R.D., Charnes, A., Cooper, W.W., 1984. Some models for estimating technical and scale inefficiencies in data envelopment analysis, Management Science, 30 (9) 1078–1092.
Charnes, A., Cooper, W.W., Rhodes, E., 1978. Measuring the efficiency of decision-making units, European Journal of Operational Research 2, 429–444.
Chambers, R.G., Fāre, R., Grosskopf, S., 1996. Productivity growth in APEC countries. Pacific Economic Review, 1 (3), 181–190.
Chen, Y., Cook, W.D., Zhu, J., 2010. Deriving the DEA frontier for two-stage processes. European Journal of Operation Research, 202 (1), 138–142.
Chen, C.M., Delmas, M.A., 2012. Measuring eco-inefficiency: a new frontier approach, Operations Research, 60 (5), 1064–1079.
Chung, Y.H., Färe, R., Grosskopf, S., 1997. Productivity and undesirable outputs: a directional distance function approach. Journal of Environment Management, 51 (3), 229–240.
Emrouznejad, A., Yang, G.L., 2018. A survey and analysis of the first 40 years of scholarly literature in DEA: 1978–2016. Socio- Economic Planning Science, 61, 4–8.
Izadikhah, M., Saen, R. F. 2016. Evaluation sustainability of supply chains by two-stage range directional measure in the presence of negative data. Transportation Research Part D: Transport and Environment, 49, 110–126.
Kao, C., 2014. Network data envelopment analysis: a review. European Journal of Operation Research, 239, 1–16.
Lin, R., Chen, Z., Hu, Q., Li, Z., 2017. Dynamic network DEA approach with diversification to multi-period performance evaluation of funds. Spectrum, 39, 821–860.
Lin, R., Liu, Y. 2021 .Directional distance based efficiency decomposition for series system in network data envelopment analysis. Journal of the Operational Research Society, 85, 26–34.
Liu, X., Meng, X., 2018. Evaluation and empirical research on the energy efficiency of 20 mining cities in Eastern and Central China. International Journal of Mining Science & Technology, 28(3), 525–531.
Petridis, K., Ünsal, M.G., Dey, P.K., Örkcü, H.H., 2019. A novel network data envelopment analysis model for performance measurement of Turkish electric distribution companies. Energy, 174, 985–998.
Rashidi, K., Saen, R.F., 2015. Measuring eco-efficiency based on green indicators and potentials in energy saving and undesirable output abatement. Energy Economy, 50,
18–26.
Sueyoshi, T., Yuan, Y., Goto, M., 2017. A literature study for DEA applied to energy and environment. Energy Economy, 62, 104–124.
Tavana, M., Izadikhah, M., Caprio, D. D., Saen R. F., 2018. A new dynamic range directional measure for two-stage data envelopment analysis models with negative data. Computers & Industrial Engineering, 115, 427–448.
Wanke, P. F., Hadi-Vencheh, A., Forghani, A. 2018. A DDF based model for efficiency evaluation in two stage DEA. Optimization Letters, 12(5), 1029–1044.
Zhou, X. Y., Luo, R., Tu, Y., Lev, B., Pedrycz, W. (2018). Data envelopment analysis for bi-level systems with multiple followers. Omega77(C), 180-188.
Zoriehhabib, M., Rostamy-Malkhalifeh, M., Hosseinzadeh-Lotfi., 2019. Efficiency measurement of the environmental systems: a two-stage structure considering undesirable outputs. Management of Environmental Quality, 32 (2), 227-242.