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Performance analysis of two-stage network processes with feedback flows and undesirable factors

100%
NEMATIZADEH M., AMIRTEIMOORI A., KORDROSTAMI S.
Operations Research and Decisions
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2019
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vol. 29
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issue 3
51-66
EN
Network data envelopment analysis (NDEA) is a non-parametric technique to evaluate the relative efficiency of decision-making units (DMUs) with network structures. An interesting and important network structure is a two-stage feedback process in which the outputs of the second stage are used as the inputs for the first stage. The existing approach did not consider undesirable products and from experience though we know that in real applications, network structures may consist of desirable and undesirable products outputs in which undesirable products can be used in the systems. The present paper proposes a DEA-based method for evaluating the relative efficiency of such a two-stage-feedback network structure with undesirable factors. Directional distance function along with weak disposability assumption for undesirable outputs has been used to analyse the performance of the network. A real case on ecological system of 31 regions in China is used to illustrate the applicability of the proposed approach.
2

Application of the Nonparametric DEA Meta-frontier Approach with Undesirable Outputs in the Case of EU Regions

67%
Hančlová J., Melecký L.
Business Systems Research Journal
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2016
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vol. 7
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issue 2
65-77
EN
Background: The paper focusses on the efficiency evaluation of the EU-28 NUTS 2 regions production process according to the concept of the Regional Competitiveness Index 2013. Objectives: Production units are divided into four groups using the factors of regional competitiveness. Production technology also enables reduction of the undesirable outputs (a negative impact on health and long-term unemployment). Based on the analysis of distance of the production units from the efficiency frontiers, a directional output distance function assuming a constant return to scale is used. This approach thus respects the heterogeneity among the groups of regions. Methods/Approach: The nonparametric meta-frontier Data Envelopment Analysis approach was used in two steps. Firstly, the efficiency evaluation within each group of regions is provided and in the second step the meta-frontier is set down. For the measurement of the gap between the group-frontier and the meta-frontier, the technology gap ratios are provided. The paper also analyses environmental inefficiencies. Results: The obtained results indicate that a significant improvement of meta-technology ratio holds within the European context. Conclusions: The combination of empirical findings, with respect to technology gaps and environmental technology gaps, supports the evidence that traditional differences of technological frontiers formation are more significant in comparison to group frontiers constitution.
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