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Network DEA and Its Applications (2017–2022): A Systematic Literature Review

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  • Svetlana V. Ratner

    (Department of Economic and Mathematical Modelling, Peoples’ Friendship University of Russia, 6 Miklukho-Maklaya St., 117198 Moscow, Russia
    Economic Dynamics and Innovation Management Laboratory, V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, 65 Profsoyuznaya St., 117997 Moscow, Russia)

  • Artem M. Shaposhnikov

    (Department of Economic and Mathematical Modelling, Peoples’ Friendship University of Russia, 6 Miklukho-Maklaya St., 117198 Moscow, Russia
    Graduate School of Corporate Management, Russian Presidential Academy of National Economy and Public Administration, 82 Prospekt Vernadskogo, Bldgs. 4,5, 119571 Moscow, Russia)

  • Andrey V. Lychev

    (College of Information Technologies and Computer Sciences, National University of Science and Technology “MISIS”, 4 Leninsky Ave., Bldg. 1, 119049 Moscow, Russia)

Abstract

Data Envelopment Analysis (DEA) is one of the fastest growing approaches to solving management problems for the multi-criteria evaluation of the efficiency of homogeneous production systems. The general trend in recent years has been the development of network DEA (NDEA) models, which can consider the complicated structure of Decision Making Units (DMUs) and, therefore, can be more informative from the point of view of management science than traditional DEA models. The aim of this study is the systematization and clarification of general trends in the development of NDEA applications over the past 6 years (2017–2022). This study uses the methodology of a systematic literature review, which includes the analysis of the dynamics of the development of the topic, the selection of the main clusters of publications according to formal (citation, branches of knowledge, individual researchers) and informal (topics) criteria, and the analysis of their content. This review reveals that, most frequently, network structures are used for bank models, supply chain models, models of eco-efficiency of complex production systems, models of innovation processes, and models of universities or their departments and healthcare systems. Two-stage models, where the outputs of the first stage are the inputs of the second (intermediate outputs), are the most commonly used. However, in recent years, there has been a noticeable tendency to complicate DEA models and introduce hierarchical structures into them.

Suggested Citation

  • Svetlana V. Ratner & Artem M. Shaposhnikov & Andrey V. Lychev, 2023. "Network DEA and Its Applications (2017–2022): A Systematic Literature Review," Mathematics, MDPI, vol. 11(9), pages 1-24, May.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:9:p:2141-:d:1138520
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    1. Andrey V. Lychev & Svetlana V. Ratner & Vladimir E. Krivonozhko, 2023. "Two-Stage Data Envelopment Analysis Models with Negative System Outputs for the Efficiency Evaluation of Government Financial Policies," Mathematics, MDPI, vol. 11(24), pages 1-21, December.
    2. Raul Moragues & Juan Aparicio & Miriam Esteve, 2023. "Ranking the Importance of Variables in a Nonparametric Frontier Analysis Using Unsupervised Machine Learning Techniques," Mathematics, MDPI, vol. 11(11), pages 1-24, June.

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