A novel hybrid AHP-entropy weighted dynamic network DEA framework for comprehensive efficiency assessment

•A novel hybrid AHP-Entropy dynamic network DEA model is proposed.•The proposed Methodology blends expert insights with data-driven weighting to fix traditional shortcomings.•Incorporated carryovers and intermediate products for deeper efficiency insights.•Investigate the efficiency of the school ed...

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Published in:Expert systems with applications Vol. 296; p. 129137
Main Authors: Kalyan, Shivani, Bansal, Pooja, Kumar, Sunil
Format: Journal Article
Language:English
Published: Elsevier Ltd 15.01.2026
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ISSN:0957-4174
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Abstract •A novel hybrid AHP-Entropy dynamic network DEA model is proposed.•The proposed Methodology blends expert insights with data-driven weighting to fix traditional shortcomings.•Incorporated carryovers and intermediate products for deeper efficiency insights.•Investigate the efficiency of the school education system across 28 Indian states, utilizing data from 2018 to 2021. This study presents a novel hybrid AHP-Entropy Weighted Dynamic Network Data Envelopment Analysis (DEA) framework for comprehensive efficiency assessment. Traditional DEA models often fail to capture the intricate interdependencies and multidimensional, dynamic nature of real-world systems, typically treating performance measurement as a static process. Even advanced network and dynamic DEA models face challenges in weight determination, as flexible schemes can distort efficiency assessments and yield unrealistic results. Existing weighting methods either rely solely on subjective judgments, potentially introducing bias, or purely on objective data, which may ignore contextual knowledge and stakeholder preferences. To address these fundamental limitations, this research synthesizes the Analytic Hierarchy Process (AHP) with entropy methods, integrating subjective expert judgments and objective data-driven weights. This hybrid approach mitigates potential biases and enables a more nuanced understanding of performance by capturing interdependencies across different stages and periods. These integrated weights are incorporated into dynamic network DEA frameworks employing directional distance vectors for flexible efficiency measurement. Applying this framework to evaluate the efficiency of the Indian state-level school education system from 2018 to 2022, utilizing a dynamic network DEA model, reveals significant disparities in performance across states. Key findings indicate that only a few states, such as Himachal Pradesh, Nagaland, Goa, Tripura, and Mizoram, achieved complete efficiency across all educational divisions, while others, like Gujarat, Karnataka, and Bihar, were found to be inefficient, particularly in Division 4 (Higher Secondary). The novel integration of weighting methodologies within a dynamic network DEA framework contributes significantly to the literature on performance measurement by advancing both methodological understanding and practical application in complex organizational performance assessments.
AbstractList •A novel hybrid AHP-Entropy dynamic network DEA model is proposed.•The proposed Methodology blends expert insights with data-driven weighting to fix traditional shortcomings.•Incorporated carryovers and intermediate products for deeper efficiency insights.•Investigate the efficiency of the school education system across 28 Indian states, utilizing data from 2018 to 2021. This study presents a novel hybrid AHP-Entropy Weighted Dynamic Network Data Envelopment Analysis (DEA) framework for comprehensive efficiency assessment. Traditional DEA models often fail to capture the intricate interdependencies and multidimensional, dynamic nature of real-world systems, typically treating performance measurement as a static process. Even advanced network and dynamic DEA models face challenges in weight determination, as flexible schemes can distort efficiency assessments and yield unrealistic results. Existing weighting methods either rely solely on subjective judgments, potentially introducing bias, or purely on objective data, which may ignore contextual knowledge and stakeholder preferences. To address these fundamental limitations, this research synthesizes the Analytic Hierarchy Process (AHP) with entropy methods, integrating subjective expert judgments and objective data-driven weights. This hybrid approach mitigates potential biases and enables a more nuanced understanding of performance by capturing interdependencies across different stages and periods. These integrated weights are incorporated into dynamic network DEA frameworks employing directional distance vectors for flexible efficiency measurement. Applying this framework to evaluate the efficiency of the Indian state-level school education system from 2018 to 2022, utilizing a dynamic network DEA model, reveals significant disparities in performance across states. Key findings indicate that only a few states, such as Himachal Pradesh, Nagaland, Goa, Tripura, and Mizoram, achieved complete efficiency across all educational divisions, while others, like Gujarat, Karnataka, and Bihar, were found to be inefficient, particularly in Division 4 (Higher Secondary). The novel integration of weighting methodologies within a dynamic network DEA framework contributes significantly to the literature on performance measurement by advancing both methodological understanding and practical application in complex organizational performance assessments.
ArticleNumber 129137
Author Kalyan, Shivani
Kumar, Sunil
Bansal, Pooja
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  givenname: Shivani
  orcidid: 0009-0007-3688-5823
  surname: Kalyan
  fullname: Kalyan, Shivani
  email: shivani.kalyan.phd23@nsut.ac.in
  organization: Department of Mathematics, Netaji Subhas University of Technology, Dwarka, New Delhi, 110078, India
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  givenname: Pooja
  orcidid: 0000-0002-9414-0236
  surname: Bansal
  fullname: Bansal, Pooja
  email: pooja.bansal@nsut.ac.in, pooja.jsm@gmail.com
  organization: Department of Mathematics, Netaji Subhas University of Technology, Dwarka, New Delhi, 110078, India
– sequence: 3
  givenname: Sunil
  surname: Kumar
  fullname: Kumar, Sunil
  email: skumar@econ.sau.ac.in
  organization: Faculty of Economics, South Asian University, Maidan Garhi, New Delhi, 110068, India
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Keywords Dynamic network DEA
Super-efficiency
Entropy method
Analytic hierarchy process
Indian school education system
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Snippet •A novel hybrid AHP-Entropy dynamic network DEA model is proposed.•The proposed Methodology blends expert insights with data-driven weighting to fix...
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StartPage 129137
SubjectTerms Analytic hierarchy process
Dynamic network DEA
Entropy method
Indian school education system
Super-efficiency
Title A novel hybrid AHP-entropy weighted dynamic network DEA framework for comprehensive efficiency assessment
URI https://dx.doi.org/10.1016/j.eswa.2025.129137
Volume 296
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