TY - JOUR
T1 - Global multi-period performance evaluation - New model and productivity index
AU - Mahjoub, A. Ridha
AU - Laghrib, A.
AU - Metrane, A.
AU - Moghaddas, Zohreh
AU - Oukil, Amar
AU - Vaez-Ghasemi, Mohsen
N1 - Publisher Copyright:
© The authors. Published by EDP Sciences, ROADEF, SMAI 2022.
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PY - 2022/5/1
Y1 - 2022/5/1
N2 - In this paper, we introduce a novel multi-period data envelopment analysis (MDEA) model that attempts to circumvent the limitations of the existing MDEA models. The proposed global MDEA model is essentially based on major modifications of fundamental DEA axioms to enable a decision making unit (DMU), defined with inputs and outputs of period t, to be evaluated within the production possibility set (PPS) of another period l, t - l. Building on the properties of the global MDEA model, we also introduce a global productivity index, identified as Global Progress and Regress index (GPRI), that render possible the evaluation of a DMU- s extent of progress or regress over multi-period time horizons under variable returns to scale (VRS) production technologies. This lifts the restrictions to two successive periods and constant returns to scale (CRS) of existing productivity indices. The most salient features of the new MDEA model as well as the GPRI are highlighted using an application that involves a real-life sample of 25 bank branches considered over 4 years.
AB - In this paper, we introduce a novel multi-period data envelopment analysis (MDEA) model that attempts to circumvent the limitations of the existing MDEA models. The proposed global MDEA model is essentially based on major modifications of fundamental DEA axioms to enable a decision making unit (DMU), defined with inputs and outputs of period t, to be evaluated within the production possibility set (PPS) of another period l, t - l. Building on the properties of the global MDEA model, we also introduce a global productivity index, identified as Global Progress and Regress index (GPRI), that render possible the evaluation of a DMU- s extent of progress or regress over multi-period time horizons under variable returns to scale (VRS) production technologies. This lifts the restrictions to two successive periods and constant returns to scale (CRS) of existing productivity indices. The most salient features of the new MDEA model as well as the GPRI are highlighted using an application that involves a real-life sample of 25 bank branches considered over 4 years.
KW - Data envelopment analysis
KW - Global efficiency
KW - Multi-period production systems
KW - Productivity index
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U2 - 10.1051/ro/2022065
DO - 10.1051/ro/2022065
M3 - Article
AN - SCOPUS:85132194250
SN - 0399-0559
VL - 56
SP - 1503
EP - 1521
JO - RAIRO - Operations Research
JF - RAIRO - Operations Research
IS - 3
M1 - 3
ER -