Productivity Center and Son Using the Malmquist Global Index
محورهای موضوعی : International Journal of Data Envelopment Analysis
1 - Department of mathematics, Ramhormoz Branch, Islamic Azad University
کلید واژه: Data envelopment Analysis , progres, Improvements , regressions , cost Efficiency , Profitability , Malmquist Global Index ,
چکیده مقاله :
Data Envelopment Analysis (DEA) is a Nonparametric method for measuring and does not need to have and calculate the production function, which is often difficult to calculate. In this article, we evaluate the units under investigation in terms of cost and production efficiency in several time periods and the progress(Improvements) or regression of each unit.for this purpose,we use the method based on solving linear programing models using Malmquist productivity index .Data envelopment analysis is a non-parametric method for measuring the performance of decision making units.Finally, by designing and solving a numerical example, we emphasize and test the applicability of the material presented in this article.
Data Envelopment Analysis (DEA) is a Nonparametric method for measuring and does not need to have and calculate the production function, which is often difficult to calculate. In this article, we evaluate the units under investigation in terms of cost and production efficiency in several time periods and the progress(Improvements) or regression of each unit.for this purpose,we use the method based on solving linear programing models using Malmquist productivity index .Data envelopment analysis is a non-parametric method for measuring the performance of decision making units.Finally, by designing and solving a numerical example, we emphasize and test the applicability of the material presented in this article.
[1] Ahangari, T., Rostamy - Malkhalifeh, M. Measurement of profit inefficiency in presence of interval data using the directional distance function. Received 16 March 2016; accepted 26 May 2016.
[2] Allahyar, M. & Rostamy-Malkhalifeh, M. (2014). An improved approach for estimating returns to scale in DEA, Bulletin of the Malaysian Mathematical Sciences Society, (2) 37 (4) 1185 - 1194.
[3] Charnes A, Cooper ww and Rhodse, 1978. “Measuring the efficiency of decision making unit”, European Journal of Operation Research: 429 - 444.
[4] Emrouznejad, A. Yang, G-L. A framework for measuring global malmquist - Leunberger productivity index with CO2 emissions on Chinese manufacturing industries. Energy, 115, (2016), 840 - 856.
[5] Fare and Grosskopf S, Norris M, Zhang Z. 1994. productivity growth, technical progress and efficiency change in industrialized countries”, American economic Review, 84 (1): 66 - 83.
[6] Farrell, M.J., 1957. The measurement of productive efficiency. Journal of the Royal statistical society, series A 120: 253 - 281.
[7] FengHe. Xiaoning Xu. Rong Chen. Na Zhang. Sensitivity and stability analysis in DEA with bounded uncertainty. Springer-Verlag. Berlin Hiedelberg 2015.
[8] Kazutoshi, A. Minamide, M. Kazuyuki, S. Shi, J. Monotonivity of minimum distance inefficiency measures for Data Envelopment Analysis. European Journal of Operational Research… (2016) 1 - 12.
[9] Lee, C.Y., & Johnson, A.L., (2014), Proactive data envelopment analysis: Effective production and capacity expansion in stochastic environments operational research, 232, 537 - 545.
[10] Maryam Allahyar, Mohsen Rostamy-malkhalifeh. Negative data in data envelopment Analysis: Efficiency analysis and estimating returns to sale computers & Industrial Engineering. (2015. 50360-8352 (15)… 41 - 8.
[11] Mehdi toloo,Nazila Aghayi,Mohsen Rostamy-Malkhalifeh.Measuring Overall Profit Efficiency with interval data[J].Applied Mathematics and Computation,2008,201:640-649.
[12] M. Khodabakhshi, Y. Gholami, H. Kheirollahi, An additive model approach for estimating returns to scale in imprecise data envelopment Analysis, original Research Article Applied Mathematical Modelling. 34 (2010) 1247 - 1257.
[13] Pejman Peykani, Emran Mohammadi, Ali Emrouznejad, Mirsaman Pishvaee, Mohsen Rostamy-Malkhalifeh. Fuzzy Data Envelpment Analysis: An Adjustable Approach Expert Systems With Applications (2019) 50957-4174 (19) 30439 - 7.
[14] Pejman Peykani,Emran Mohammadi,Mohsen Rostamy-Malkhalifeh,Farhad Hosseinzadeh Lotfi.Fuzzy Data Envelopment Analysis Approach for ranking of stocks with an Application to Tehran stock Exchange.Advances in mathematical finonce &Applications ,4(1),(2019),31-43.
[15] R.Banker,A.Charnes,W.W.Cooper,SomeModels for estimating technical and scale inefficiencies in data
[16] Tohidi, G. Razavyan, S. Tohidnia, S. A global cost molmquist productivity index using data envelopment analysis, Journal of the operational Research Society, (2012). 63, 72 - 78.
