Selective proportionality and integer-valued data in DEA: an application to performance evaluation of high schools

Conventional data envelopment analysis (DEA) models are often extended for constant or variable returns to scale assumptions based on the under-investigated technology. It is assumed that all inputs and outputs are real-valued data. However, in many practical applications, proportionality or convexi...

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Bibliographic Details
Published in:Operational research 2022-09, Vol.22 (4), p.3435-3459
Main Authors: Moghaddas, Zohreh, Amirteimoori, Alireza, Kazemi Matin, Reza
Format: Article
Language:English
Subjects:
Axioms
Business and Management
Computational Intelligence
Convexity
Data analysis
Data envelopment analysis
Decision making
Efficiency
Empirical analysis
Integer programming
Linear programming
Literature reviews
Management Science
Mathematical programming
Mathematics
Mixed integer
Operations Research
Operations Research/Decision Theory
Original Paper
Performance evaluation
Secondary schools
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Summary:Conventional data envelopment analysis (DEA) models are often extended for constant or variable returns to scale assumptions based on the under-investigated technology. It is assumed that all inputs and outputs are real-valued data. However, in many practical applications, proportionality or convexity axioms require to be modified. This study attempts to further expand upon the hybrid returns to scale DEA models in the presence of integer-valued input and output data. We refine the previous axioms to introduce a new minimal extrapolation technology set. Moreover, we formulate a couple of mixed-integer linear programming models for efficiency evaluation and target setting. An empirical application on 30 high schools in Iran is provided to validate the proposed approach. The data analysis, including efficiency evaluations along with providing benchmark units, is also performed.
ISSN:1109-2858
1866-1505
DOI:10.1007/s12351-022-00692-3