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Theory of integer-valued data envelopment analysis
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DOI：10.1016/j.ejor.2007.09.040.png)
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Conventional data envelopment analysis (DEA) models assume real-valued inputs and outputs. In many occasions, some inputs and/or outputs can only take integer values. In some cases, rounding the DEA solution to the nearest whole number can lead to misleading efficiency assessments and performance targets. This paper develops the axiomatic foundation for DEA in the case of integer-valued data, introducing new axioms of natural disposability and natural divisibility. We derive a DEA production possibility set that satisfies the minimum extrapolation principle under our refined set of axioms, We also present a mixed integer linear programming formula for computing efficiency scores. An empirical application to Iranian university departments illustrates the approach. (C) 2007 Elsevier B.V. All rights reserved.
Keyword:
Data envelopment analysis
Efficiency
Mixed Integer linear programming
Production theory
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IF:
6
论文数:
2.2W
被引数:
6.4W
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