Multi-period additive efficiency measurement in data envelopment analysis with non-positive and undesirable data

Pooja Bansal () and Aparna Mehra ()
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Pooja Bansal: Indian Institute of Technology Delhi
Aparna Mehra: Indian Institute of Technology Delhi

OPSEARCH, 2018, vol. 55, issue 3, No 4, 642-661

Abstract: Abstract The conventional data envelopment analysis (DEA) models make an assumption of non-negativity in the inputs and outputs data of the decision making units (DMUs) under analysis. In this paper, we present a non-radial measure of efficiency of DMUs by establishing a multi-period additive DEA model taking into consideration both desirable and undesirable inputs and outputs with positive and non-positive values. The proposed efficiency model possesses the requisite features of translation invariance and unit independence, obligatory when dealing with negative values in the data set. Furthermore, this paper contributes with the proposal of a multi-period additive super-efficiency DEA model to discriminate the performance of efficient decision making units. Finally, we present an efficiency evaluation 37 countries worldwide on economic parameters to demonstrate the applicability and efficacy of the proposed models.

Keywords: Data envelopment analysis; Multi-period non-radial additive model; Undesirable inputs–outputs; Non-positive input–output data; Super-efficiency (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s12597-018-0343-z

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