Imprecise Revenue Efficiency under Productivity Change
Subject Areas :
Applied Mathematics
Mohsen Rostamy-Malkhalifeh
1
1 - Science and Research Branch, Islamic Azad University, Tehran, Iran
Received: 2022-03-10
Accepted : 2022-01-20
Published : 2021-12-01
Keywords:
Data envelopment analysis,
Revenue Efficiency,
Interval data,
Revenue Malmquist Productivity Index,
Abstract :
Traditional data envelopment analysis (DEA) models evaluate the performance of decision-making units (DMUs) with the exact data and do not assume evaluation in the condition that the environment is uncertain. When some data are unknown, such as interval data, the DEA model is called imprecise DEA (IDEA). In this paper, we develop a new Malmquist productivity index(MPI) for dealing with interval data in DEA. Then, an approach for measuring the Malmquist productivity index using revenue efficiency is extended, too. The capabilities of the presented approach are shown by means of an example.
References:
Berg,S.A.,Forsund,F.R.,Jansen,E.S., Malmquist indices of produc- tivity growth during the deregulation of Norwegian banking,1980-89. Scandinavian Journal of economics(supplement), 1992, 211-228.
Despotis,D.K., Smirlis,Y.G., Data envelopment analysis with imprecise data. European Journal of Operational Researc 2002, 140, 24-36.
Malmquist,S., Index numbers and indifference surfaces. Trabajos de 1953, 4,209-242.
Robert Therall, Measures in DEA with an Application to the Malmquist Index. Journal of Productivity Analysis, 2000, 13,125-137. Thanassoulis,E.,Maniadakis,N., A cost Malmquist productivity index. European Journal of Operational Research. 2004, 154,396-409.
Charnes; W. W. Cooper; E. Rhodes; Measuring the efficiency of decision making units. European Journal of Operational Research 1978, 2, 429-444, 10.1016/0377-2217(78)90138-8.
Tone, K., Toloo, M., & Izadikhah, M, A modified slacks-based measure of efficiency in data envelopment analysis. European Journal of Operational Research, 2020, 287(2).
Fare,R.,Grosskopf,Norris M.,Zhang,Z., Productivity growth,technical progress,and efficiency change in industrialized counties.American Economic Review.1994, 84,66-83.
Ghiyasi, M., Inverse DEA based on cost and revenue efficiency, Computers & Industrial Engineering, 2017, 114, 258-263
Nguyen, M-A., Yu, M-M., Lirn, T-C., Revenue efficiency across airline business models: A bootstrap non-convex meta-frontier approach, Transport Policy, 2022, 117, 108-117
Fatemeh Sadat Seyed Esmaeili, Pejman Peykani, Mohsen Rostamy-Malkhalifeh, Farhad Lotfi. Measuring Productivity Changes of Hospitals in Tehran: The Fuzzy Malmquist Productivity Index. International Journal of Hospital Research, Iran University of Medical Sciences, 2018. ⟨hal-02401184v2⟩
Mombini, E., Rostamy-Malkhalifeh, M., Saraj, M., Zahraei, M., & Tayebi Khorami, R. Global malmquist index for measuring the economic productivity changes. Measurement and Control, 2020, 53(7–8), 1278–1285. https://doi.org/10.1177/0020294020923096
Poordavoodi, A., Moazami Goudarzi, M.R., Haj Seyyed Javadi, H., Rahmani, A.M., Izadikhah, M., Toward a More Accurate Web Service Selection Using Modified Interval DEA Models with Undesirable Outputs, Computer Modeling in Engineering & Sciences, 2020, 123(2), P. 525-570, Doi: 10.32604/cmes.2020.08854
Hamid Sharafi, Mohsen Rostamy-Malkhalifeh, Alireza Salehi, Mohammad Izadikhah, Efficiency Evaluation and Ranking DMUs in the Presence of Interval Data with Stochastic Bounds, International Journal of Data Envelopment Analysis, 2015, 3(1), 617-626
Izadikhah, M., Roostaee, R., & Emrouznejad, A., Fuzzy Data Envelopment Analysis with Ordinal and Interval Data. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2021, 29(3), 385-410.
https://doi.org/10.1142/s0218488521500173
Mombini, E., Rostamy-Malkhalifeh, M., Saraj, M. The sustainability radius of the cost efficiency in Interval Data Envelopment Analysis: A case study from Tehran Stocks. Advances in Mathematical Finance and Applications, 2022; 7(2): 279-291. doi: 10.22034/amfa.2021.1917327.1528
