A data-based comparison of the two undesirable output disposability approaches in environmental efficiency
محورهای موضوعی : Data Envelopment Analysis
Azam Pourhabib Yekta
1
,
Mahnaz Maghbouli
2
,
Monireh Zorriehhabib
3
1 - Islamic Azad University, Sowmesara Branch, Guilan, iran.
2 - Islamic Azad University, Aras Branch, Jofa, East Azerbaijan, IRAN
3 - Department of Mathematics, Islamic Azad University, Sufian Branch, East Azerbaijan, Iran
کلید واژه: Undesirable outputs, Data Envelopment Analysis (DEA), Decision Making Unit (DMU), Weak disposability, Environmental assessment, performance analysis.,
چکیده مقاله :
Data envelopment analysis (DEA) was originally developed to evaluate entities that carry out production processes in which multiple inputs are converted into multiple outputs. Subsequent advancement in DEA literature also points out the production of undesirable outputs. The most common approach which has attracted the researcher attention was the assumption of weak disposability. This axiom makes the proportional reduction for desirable and undesirable outputs in underlying technology. Linking to individual-proportion reduction of bad outputs, this study aims to reveal the contribution of non-disposed inputs or the idle inputs in production process. Toward this end, a simple modification is presented. The modified model demonstrates the effect of pointless inputs in reduction undesirable outputs and implies that fading their effect may improve the efficiency measure and optimize the performance. A real example compares the results and illuminate the model practicality.
Data envelopment analysis (DEA) was originally developed to evaluate entities that carry out production processes in which multiple inputs are converted into multiple outputs. Subsequent advancement in DEA literature also points out the production of undesirable outputs. The most common approach which has attracted the researcher attention was the assumption of weak disposability. This axiom makes the proportional reduction for desirable and undesirable outputs in underlying technology. Linking to individual-proportion reduction of bad outputs, this study aims to reveal the contribution of non-disposed inputs or the idle inputs in production process. Toward this end, a simple modification is presented. The modified model demonstrates the effect of pointless inputs in reduction undesirable outputs and implies that fading their effect may improve the efficiency measure and optimize the performance. A real example compares the results and illuminate the model practicality.
[1] Amirteimoori, A. R., Fooladvand, M., Kordrostami,S. Efficiency measurement using nonparametric Production Analysis in Presence of Undesirable Outputs: Application to Power Plants. Operations Research and Decisions,
2017, 27(3), 5-20. DOI 10.5277/ord170301.
[2] Banker, R.D., Charnes, A., Cooper, W.W. Some models foe estimating technical and scale inefficiency in data Envelopment analysis, Management Series, 1984, 30, 1078-1092.
[3] Charnrs, A., Cooper, W.W., Rhodes, E. Measuring the efficiency of Decision Making Units, European Journal of Operation Research, 1978,2,429-444.
[4] Fare, R., Grosskopf, S. Nonparametric productivity analysis with undesirable outputs: comment, American Journal of Agricultural Economics, 2003, 85, 10701074.
[5] Färe, R., Grosskopf, S. Modeling undesirable factors in efficiency evaluation: comment. European Journal of Operational Research, 2004, 157, 242245.
[6] Jo, A.H., Chang, and Y.T., Environmental efficiency of seaports correcting estimation biases: Weak Disposability and bootstrapping method, Transportation Research Part D: Transport and Environment, 2023, 122,103884, DOI:10.1016/j.trd.2023.103884.
[7] Kao, C., Hwang, S.N., Measuring the effects of undesirable outputs on the efficiency of production units. European Journal of Operational Research, 2020, 292(3), 996-1003. DOI: 10.1016/j.ejor.2020.11.026.
[8]Kao, C., & Hwang, S.N. Separating the effect of undesirable outputs generation from the inefficiency of desirable outputs production in efficiency measurement. European Journal of Operational Research, 2023,311, 1097-1102. DOI:10.1016/J.EJOR.2023.06.012.
[9] Kuosmanen, T. Weak disposability in nonparametric production analysis with undesirable outputs. American Journal of Agricultural Economics, 2005, 87, 10771082.
[10] Kuosmanen T. and Podinovski V. Weak disposability in nonparametric production analysis: Reply to Färe and Grosskopf. American Journal of Agricultural Economics, 91, 2009, 539-545.
[11]Maghbouli, M., Pourhabib Yekta, A., and Jablonsky, J. Weak Disposability in the Non-Parametric Analysis of Efficiency: An Interval Abatement Factor. Operations Research and Decisions, 2024, 34(3), 193-203. DOI 10.37190/ord2403010.
[12] Mehdiloozad, M., Podinovski, V., Nonparametric Production Technologies with Weakly Disposable Inputs. European Journal of Operational Research, 2017, 266(1), 247-258. DOI: 10.1016/j.ejor.2017.09.030.
[13] Mehdiloo, M., Podinovski, V., Selective strong and weak disposability in efficiency analysis. European Journal of Operational Research, 2019, 276(3), 1154-1169. DOI: 10.1016/j.ejor.2019.01.064.
[14] Monzeli, A.L., Daneshian, B., Tohidi, G., Sanei, M., Razavyan, S., Efficiency study with undesirable inputs and Outputs in DEA, Journal of Fuzzy Extension and Applications,2020,1(1),73-80. DOI:10.22105/jfea.2020.248018.1005.
[15] Pham, D.M., and Zeleynuk, V. Weak disposability in nonparametric production analysis: A new taxonomy of reference technology sets. European Journal of Operational Research, 2018, 274(1), 186-198. DOI: 10.1016/j.ejor.2018.09.019
[16]Piao, S.R., Li, J., and Ting, C.J. Assessing regional environmental efficiency in China with Distinguishing weak and strong disposability of undesirable outputs. Journal of Cleaner Production, 2019, 227, 748-759. DOI: 10.1016/j.jclepro.2019.04.207.
[17]Qiang, C. A data-based comparison of the five undesirable output disposability approaches in airline environmental efficiency, Socio-Economic Planning Sciences, 2021, 74, 100931. DOI:10.1016/j.seps.2020.100931.
[18]Roshdi, I., Hasannasab, M., Margaritis, D., & Rouse, P. Generalized Weak Disposability and Efficiency Measurement in Environmental Technologies. European Journal of Operational Research, 2017, 266(3), 1000-1012. DOI: 10.1016/j.ejor.2017.10.033.
[19]Shepard, R.W. (1970). Theory of Cost and Production Functions. Princeton University Press.
