Efficiency Measure Under Inter-Temporal Dependence
S. Ghobadi,
G. R. Jahanshahloo (jahanshahloo@tmu.ac.ir),
F. Hosseinzadeh Lotfi (hosseinzadeh_lotfi@srbiau.ac.ir) and
M. Rostamy-Malkhalifeh (mohsen_rostamy@yahoo.com)
Additional contact information
S. Ghobadi: Department of Mathematics, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Isfahan, Iran
G. R. Jahanshahloo: #x2020;Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
F. Hosseinzadeh Lotfi: #x2020;Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
M. Rostamy-Malkhalifeh: #x2020;Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Information Technology & Decision Making (IJITDM), 2018, vol. 17, issue 02, 657-675
Abstract:
In this paper, a linear programming (LP) model is proposed to estimate the efficiency of a decision-making unit (DMU) in the framework of dynamic Data Envelopment Analysis (DEA). Necessary and sufficient conditions required for characterizing dynamically efficient paths are established. An LP model is proposed to estimate the dynamic cost efficiency (DCE) measure. It is proved that the aggregate CE in an assessment window is a convex combination of CEs of available periods in the assessment window. In addition, it is shown that a DMU in an assessment window is dynamically efficient when the DMU is dynamically cost/revenue efficient. Mathematical relationships between relative, cost, revenue, and profit efficiencies are studied in the framework of dynamic DEA.
Keywords: Data Envelopment Analysis (DEA); dynamic DEA; Thompson–Dharmapala–Thrall (TDT)-measure; efficiency; inter-temporal dependence (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)
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DOI: 10.1142/S0219622018500050
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