آمار
| تعداد نشریات | 5 |
| تعداد شمارهها | 116 |
| تعداد مقالات | 1,347 |
| تعداد مشاهده مقاله | 1,352,381 |
| تعداد دریافت فایل اصل مقاله | 1,293,427 |
Cost, revenue and profit efficiency in multi-period network system: A DEA-R based approach | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 8، دوره 9، شماره 4، اسفند 2024، صفحه 725-746 اصل مقاله (519.9 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2023.28179.1474 | ||
| نویسندگان | ||
| M. Ahmadkhanlou Gharakhanlo* 1؛ G. Tohidi2؛ N. Azarmir Shotorbani1؛ S. Razavyan3؛ R. Abbasi4 | ||
| 1Department of Applied Mathematics, Islamic Azad University, Tabriz Branch, Tabriz, Iran | ||
| 2Department of Mathematics, Islamic Azad University, Tehran Branch, Tehran, Iran | ||
| 3Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran | ||
| 4Department of Management, Humanities College, Hazrat-e Masoumeh University, Qom, Iran | ||
| چکیده | ||
| It has been proven that Data Envelopment Analysis is an efficient method to compare different decision making units with multiple inputs and outputs, but traditional Data Envelopment Analysis models suffers some difficulties: (a)- the inputs and outputs are not supposed to be given in terms of ratio. Thus, when the data are partially available, the decision maker will be unable to access missing data from the present data; (b) in measuring the efficiency of a set of decision making units for some periods, the conventional Data Envelopment Analysis based technique cannot handle the problem posed in a periodic form where the costs, profits and revenue efficiency of the main problems in the network structures are required. The contribution of this paper is four folded: (1) the cost, revenue and profit efficiency of each stages are calculated from the proposed method depends on the performance of the unit in both stages. (2) Our method evaluates the total cost, revenue and profit efficiency in a whole t(t=1,…,T) time periods derived from all periodic and every stage efficiency, (3) The proposed method in this study yields the efficiency measures deals with ratio data, (4) To elucidate the details of the proposed method, the proposed multi-period DEA-R method was employed to measure the efficiency of ten units in three separate time periods. Numerical examples are also provided to explain the presented methods. | ||
| کلیدواژهها | ||
| Ratio Data Envelopment Analysis (DEA-R)؛ Network multi-Periodic Production Process؛ overall efficiency؛ cost- Revenue and profit efficiency | ||
| مراجع | ||
|
[1] Y. Chen, W.D. Cook, and J. Zhu, Deriving the DEA frontier for two-stage processes, Eur. J. Ope. Res. 202 (2010), no. 1, 138–142. https://doi.org/10.1016/j.ejor.2009.05.012
[2] W.D. Cook, J. Zhu, G. Bi, and F. Yang, Network DEA: Additive efficiency decomposition, Eur. J. Ope. Res. 207 (2010), no. 2, 1122–1129. https://doi.org/10.1016/j.ejor.2010.05.006
[3] O. Despic and J.C. Paradi, Ratio-based comparative efficiency model, its mathematical relation to DEA and its use in applications, J. Product. Anal. 28 (2007), no. 1, 33–44. https://doi.org/10.1007/s11123-007-0050-x
[4] Samaneh Esfidani, Farhad Hosseinzadeh Lotfi, Shabnam Razavyan, and Ali Ebrahimnejad, A slacks-based measure approach for efficiency decomposition in multi-period two-stage systems, RAIRO-Oper. Res. 54 (2020), no. 6, 1657–1671. https://doi.org/10.1051/ro/2019113
[5] A. Esmaeilzadeh and R. Kazemi Matin, Multi-period efficiency measurement of network production systems, Measurement 134 (2019), 835–844. https://doi.org/10.1016/j.measurement.2018.12.024
[6] R. Fallahnejad and E. Rezaei Hezaveh, A new decomposition of cost efficiency based on the price and cost based production possibility sets in non-competitive space in DEA, Int. J. Indu. Math. 14 (2022), no. 1, 43–56.
[7] R. Fare and S. Grosskopf, Productivity and intermediate products: A frontier approach, Economics lett. 50 (1996), no. 1, 65–70.
[8] R. Fáre and V. Zelenyuk, Profit efficiency and its estimation, Tech. report, School of Economics, University of Queensland, Australia, 2020.
[9] A. Gazori, K. Khalili-Damghani, and A. Hafezalkotob, Multi-period network data envelopment analysis to measure the efficiency of a real business, J. Ind. Sys. Eng. 12 (2019), no. 3, 55–77.
[10] M. Ghiyasi, S. Naderi, Z. Ameri, and G. Ghesmati Tabrizi, Cost efficiency analysis of network DEA models: the case of mashhad hospitals running title: Cost efficiency analysis of network DEA models, Int. J. Hospital Res. 8 (2019), no. 2, 1–16.
[11] F. Hosseinzadeh L., Allahviranloo, T. Shafiee, Morteza, and H. Saleh, Data envelopment analysis, Supply Chain Performance Evaluation: Application of Data Envelopment Analysis, Springer, 2023, pp. 179–241.
[12] J. Jablonsky, L. Marek, and P. Berka, Multi-period data envelopment analysis models and resource allocation: A case study, J. Physics: Conference Series, vol. 1026, IOP Publishing, 2018, p. Article ID: 012002.
[13] E. Jamasb Ghalati, M. Mozaffari, and K. Etemad, Calculate of cost and revenue efficiency in projects with controllable and uncontrollable indicators in DEA and DEA-R: a (case study of shiraz road construction projects), J. Decisions Ope. Res. 6 (2022), no. Special Issue, 1–23. [14] C. Kao and S.N. Hwang, Multi-period efficiency and malmquist productivity index in two-stage production systems, Eur. J. Ope. Res. 232 (2014), no. 3, 512–521. https://doi.org/10.1016/j.ejor.2013.07.030
[15] X. Luo, Evaluating the profitability and marketability efficiency of large banks: An application of data envelopment analysis, J. Busin. Res. 56 (2003), no. 8, 627–635.
[16] Z. Moghaddas, A. Amirteimoori, and R. Kazemi Matin, Selective proportionality and integer-valued data in DEA: an application to performance evaluation of high schools, Ope. Res. 22 (2022), no. 4, 3435–3459. https://doi.org/10.1007/s12351-022-00692-3
[17] Z. Moghaddas, B.M. Tosarkani, and S. Yousefi, A developed data envelopment analysis model for efficient sustainable supply chain network design, Sustainability 14 (2021), no. 1, Article ID: 262. https://doi.org/10.3390/su14010262
[18] M.R. Mozaffari, F. Dadkhah, J. Jablonsky, and P. Fernandes Wanke, Finding efficient surfaces in DEA-R models, Appl. Math. Comput. 386 (2020), Articel ID: 125497. https://doi.org/10.1016/j.amc.2020.125497
[19] M.R. Mozaffari, P. Kamyab, J. Jablonsky, and J. Gerami, Cost and revenue efficiency in DEA-R models, Comput. Ind. Eng. 78 (2014), 188–194. https://doi.org/10.1016/j.cie.2014.10.001
[20] M. Najari Alamuti, R. Kazemi Matin, M. Khounsiavash, and Z. Moghadas, Evaluation of the performance in dynamic network data envelopment analysis with undesirable outputs, Iran. J. Optim. 13 (2021), no. 3, 169–179.
[21] H. Omrani and E. Soltanzadeh, Dynamic DEA models with network structure: An application for iranian airlines, J. Air Transport Manag. 57 (2016), 52–61. https://doi.org/10.1016/j.jairtraman.2016.07.014
[22] J. Pourmahmoud, New model for ranking DMUs in DDEA as a special case, Int. J. Ind. Math. 7 (2015), no. 2, 187–192.
[23] L.M. Seiford and J. Zhu, Profitability and marketability of the top 55 US commercial banks, Manag. Sci. 45 (1999), no. 9, 1270–1288.
[24] S. Tohidnia and G. Tohidi, Measuring productivity change in DEA-R: A ratio-based profit efficiency model, J. Ope. Res. Soc. 70 (2019), no. 9, 1511–1521. https://doi.org/10.1080/01605682.2018.1506561
[25] K. Tone and M. Tsutsui, Dynamic DEA with network structure: A slacks-based measure approach, Omega 42 (2014), no. 1, 124–131. https://doi.org/10.1016/j.omega.2013.04.002
[26] C.K. Wei, L.C. Chen, R.K. Li, and C.H. Tsai, Exploration of efficiency under-estimation of CCR model: Based on medical sectors with DEA-R model, Expert Sys. Appl. 38 (2011), no. 4, 3155–3160.
[27] C.K. Wei, L.C. Chen, R.K. Li, and C.H. Tsai, A study of developing an input oriented ratio-based comparative efficiency model, Expert Sys. Appl. 38 (2011), no. 3, 2473–2477. https://doi.org/10.1016/j.eswa.2010.08.036 [28] C.K. Wei, L.C. Chen, R.K. Li, and C.H. Tsai, Using the DEA-R model in the hospital industry to study the pseudo- inefficiency problem, Expert Sys. Appl. 38 (2011), no. 3, 2172–2176. https://doi.org/10.1016/j.eswa.2010.08.003 | ||
|
آمار تعداد مشاهده مقاله: 619 تعداد دریافت فایل اصل مقاله: 1,665 |
||