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

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  • Pooja Bansal

    (Indian Institute of Technology Delhi)

  • Aparna Mehra

    (Indian Institute of Technology Delhi)

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.

Suggested Citation

  • Pooja Bansal & Aparna Mehra, 2018. "Multi-period additive efficiency measurement in data envelopment analysis with non-positive and undesirable data," OPSEARCH, Springer;Operational Research Society of India, vol. 55(3), pages 642-661, November.
    • Handle: RePEc:spr:opsear:v:55:y:2018:i:3:d:10.1007_s12597-018-0343-z
    DOI: 10.1007/s12597-018-0343-z
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    Cited by:

    1. Chidozie Chukwuemeka Nwobi-Okoye, 2020. "Modelling the performance of single-input–single-output (SISO) processes using transfer function and fuzzy logic," OPSEARCH, Springer;Operational Research Society of India, vol. 57(3), pages 815-836, September.
    2. Lukáš Melecký & Michaela Staníčková & Jana Hančlová, 2019. "Nonparametric Approach to Evaluation of Economic and Social Development in the EU28 Member States by DEA Efficiency," JRFM, MDPI, vol. 12(2), pages 1-34, April.
    3. Jeong-Hun Sin, 2020. "A study on the financial efficiency analysis method by redesigning the DEA model," OPSEARCH, Springer;Operational Research Society of India, vol. 57(2), pages 347-363, June.

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