تعداد نشریات | 21 |
تعداد شمارهها | 593 |
تعداد مقالات | 8,812 |
تعداد مشاهده مقاله | 66,762,965 |
تعداد دریافت فایل اصل مقاله | 7,326,066 |
Determining the practical frontier for decision-making units by developing a new additive model in the DEA | ||
International Journal of Nonlinear Analysis and Applications | ||
مقاله 24، دوره 13، شماره 2، مهر 2022، صفحه 253-263 اصل مقاله (433.65 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25520.3040 | ||
نویسندگان | ||
Abbasali Monzeli1؛ B Daneshian* 1؛ G Tohidi1؛ M Sanei1؛ Sh Razavian2 | ||
1Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran | ||
2Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran | ||
تاریخ دریافت: 17 آبان 1400، تاریخ بازنگری: 17 آذر 1400، تاریخ پذیرش: 29 دی 1400 | ||
چکیده | ||
Data envelopment analysis (DEA) assigns a score to each unit of the decision-making units being analyzed indicating the efficiency or inefficiency of that unit over the other units. However, in the early DEA models, there is no strategy to improve the efficiency of the efficient units. Therefore, in Paradi & Sowlati's (2004) practical boundary theory, they tried to expand these models to increase the efficiency of the efficient decision-making units. They had a basis for improving performance to a certain extent, thus, they presented the P-DEA linear programming model to extend the efficiency of the efficient units. Because of the staff management in organizations, it is important to increase the efficiency units in order to improve the organization based on the possible changes in the level of input and output of decision-making units. This is done to produce newly advanced based on the efficiency of these new units. In this research, after studying the P-DEA model thoroughly, we identified its drawbacks and proposed a new method for determining the practical boundary by developing an additive model using an example. | ||
کلیدواژهها | ||
Data envelopment analysis؛ Decision-making unit؛ Linear programming؛ practical boundary | ||
مراجع | ||
[1] D. Adelman, An efficient Frontier approach to scoring and ranking hospital performance, Oper. Res. 68 (2020), no. 3, 762–792. [2] P. Andersen and N.C. Petersen, A procedure for ranking efficient units in data envelopment analysis, Manag. Sci. 39 (1993), no. 10, 1261–1264. [3] A. Charnes, W. W. Cooper and E. Rhodes, Measuring the efficiency of decision making units, Eur. J. Oper. Res. 2 (1978), 429–444. [4] L. Chen, Y. Huang, M.J. Li and Y.M. Wang, Meta-frontier analysis using cross efficiency method for performance evaluation, Eur. J. Oper. Res. 280 (2020), no. 1, 219–229. [5] L. Fang, Centralized resource allocation based on efficiency analysis for step-by-step improvement paths, Omega 51 (2015), 24–28. [6] F. Gianfranco, Fancello, M. Carta and P. Serra, Data envelopment analysis for the assessment of road safety in urban road networks: A comparative study using CCR and BCC models, Case Stud. Transport Policy 8 (2020), no. 3, 736–744. [7] G.R. Jahanshahloo, F. Hosseinzadeh Lotfi and M. Zohrehbandian, Finding the piecewise linear frontier production function in data envelopment analysis, Appl. Math. Comput. 163 (2005), no. 1, 483–488. [8] D.-J. Lim, Inverse data envelopment analysis for operational planning: The impact of oil price shocks on the production frontier, Expert Syst. Appl. 161 (2020), 113726. [9] T.O. Ojo. and L.J.S. Baiyegunhi, Impact of climate change adaptation strategies on rice productivity in South-west, Nigeria: An endogeneity corrected stochastic frontier model, Sci. Total Envir. 745 (2020) 141–151. [10] C. Qiang, A data-based comparison of the five undesirable output disposability approaches in airline environmental [11] H. Shi, Y. Wang and L. Chen, Neutral cross-efficiency evaluation regarding an ideal frontier and anti-ideal frontier as evaluation criteria, Comput. Indust. Engin. 24 (2019), no. 3, 806–817. [12] T. Sowlati and J. Paradi, Establishing the practical frontier in data envelopment analysis management science, Omega 32 (2004), 261–272. [13] N. Wang, J. Chen, S. Yao and Y.C. Chang, A meta-frontier DEA approach to efficiency comparison of carbon reduction technologies on project level, Renew. Sustain. Energy Rev. 82 (2018), 2606–2612. [14] P. Wang, B. Zhu, X. Tao, R. Xie, Measuring regional energy ef sciencies in China: a meta-frontier SBMUndesirable approach, Natural Hazards 85 (2017), no. 2. 105–114. [15] M. Yang, Y.J. Li, Y. Chen and L. Liang, An equilibrium efficiency frontier data envelopment analysis approach for evaluating decision-making units with fixed-sum outputs, Eur. J. Oper. Res. 239 (2014), no. 2, 479–489. [16] M. Yang, Y.J. Li and L. Liang, A generalized equilibrium efficient frontier data envelopment analysis approach for evaluating DMUs with fixed-sum outputs, Eur. J. Oper. Res. 246 (2015), no. 1, 209–217. [17] Q. Zhu, J. Wu, M. Song and L. Liang, A unique equilibrium efficient frontier with fixed-sum outputs in data envelopment analysis, Oper. Res. Soc. 68 (2017), no. 12, 1483–1490. | ||
آمار تعداد مشاهده مقاله: 43,847 تعداد دریافت فایل اصل مقاله: 427 |