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Introduction of Uncertainty into Data Envelopment Analysis

Research Project

Project/Area Number 22K14443
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 25010:Social systems engineering-related
Research InstitutionTokyo University of Science

Principal Investigator

Zhao Yu  東京理科大学, 経営学部経営学科, 講師 (40879384)

Project Period (FY) 2022-04-01 – 2025-03-31
Project Status Completed (Fiscal Year 2024)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2024: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2023: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2022: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords不確実性 / 効率性の評価 / フロンティア推定法 / データ包絡分析法 / フロンティアの推定法 / 非効率性 / データの確率的変動 / 効率性尺度 / 多入力多出力システム / データ包絡分析法(DEA) / 効率性分析 / 統計的手法 / 確率的変動
Outline of Research at the Start

情報化社会と言われる現代では、生産や経営管理の現場の多種多様なデータを駆使して業務の効率化を図ることが必要であり、データ包絡分析法(Data Envelopment Analysis; DEA)による分析が様々な分野で広く行われている。しかしながら、データには観測誤差などの不確実性が存在しているにもかかわらず、データの確率的変動を取り入れたDEAモデルの開発は十分に行われているとは言えない。本研究の目的は、不確実性環境下におけるDEAモデルの開発である。具体的には、データの確率的変動を取り入れた生産フロンティアの推定方法を構築し、実用的で信頼性の高い確率的効率性尺度を開発することである。

Outline of Final Research Achievements

This study develops a novel method for estimating production frontiers under uncertainty in multi-input, multi-output systems, based on Data Envelopment Analysis (DEA). Traditional DEA models often fail to adequately account for stochastic fluctuations and measurement errors in the data, resulting in limited accuracy in frontier estimation. To address this issue, the proposed approach integrates statistical learning theory, machine learning, and information theory to enhance the precision and flexibility of both frontier and efficiency estimation. Simulation studies and empirical applications demonstrate that the proposed method outperforms existing DEA models in terms of accuracy and robustness.

Academic Significance and Societal Importance of the Research Achievements

本研究は、DEAに不確実性を導入することで、従来の決定論的モデルでは捉えきれなかったデータの確率的変動や観測誤差に対応可能な理論的枠組みを提示した点で学術的意義がある。統計的学習理論や機械学習との融合により、効率性評価の精度と汎用性を高めた。また、提案手法は、医療、金融、公共部門など、実社会での意思決定支援にも応用可能であり、限られた資源の有効活用やサービスの質の向上に貢献する社会的意義を有する。

Report

(4 results)
  • 2024 Annual Research Report   Final Research Report ( PDF )
  • 2023 Research-status Report
  • 2022 Research-status Report
  • Research Products

    (27 results)

All 2025 2024 2023 2022

All Journal Article (8 results) (of which Peer Reviewed: 7 results,  Open Access: 5 results) Presentation (18 results) (of which Int'l Joint Research: 9 results,  Invited: 4 results) Book (1 results)

  • [Journal Article] Closest targets in Russell graph measure of strongly monotonic efficiency for an extended facet production possibility set2025

    • Author(s)
      Sekitani Kazuyuki、Zhao Yu
    • Journal Title

      Journal of the Operational Research Society

      Volume: - Issue: 10 Pages: 1-19

    • DOI

      10.1080/01605682.2025.2460617

    • Related Report
      2024 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A Density-Weighted Information Gain Tree for Clustering Mixed-Type Data2024

    • Author(s)
      Zhao Yu
    • Journal Title

      2024 7th International Conference on Data Science and Information Technology (DSIT)

      Volume: - Pages: 1-6

    • DOI

      10.1109/dsit61374.2024.10882131

    • Related Report
      2024 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Estimating Malmquist-type indices with StoNED2024

    • Author(s)
      Zhao Yu、Morita Hiroshi
    • Journal Title

      Expert Systems with Applications

      Volume: 250 Pages: 123877-123877

    • DOI

      10.1016/j.eswa.2024.123877

    • Related Report
      2024 Annual Research Report 2023 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Empirical Estimation of the Production Frontier2024

    • Author(s)
      Yu Zhao
    • Journal Title

      Advances in the Theory and Applications of Performance Measurement and Management

      Volume: - Pages: 59-69

    • Related Report
      2024 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Empirical Estimation of the Production Frontier2024

    • Author(s)
      Zhao Yu
    • Journal Title

      Advances in Theory and Applictions of Performance Measurement and Management - Proceedings of DEA45 - International Conference on Data Envelopment Analysis

      Volume: -

    • Related Report
      2023 Research-status Report
    • Peer Reviewed
  • [Journal Article] 統計的DEA法:理論と応用2024

    • Author(s)
      国友直人, 趙宇
    • Journal Title

      統計数理研究所共同研究リポート471-極値理論の工学への応用(21)

      Volume: 21 Pages: 52-57

    • Related Report
      2023 Research-status Report
    • Open Access
  • [Journal Article] Least-distance approach for efficiency analysis: A framework for nonlinear DEA models2023

    • Author(s)
      Kazuyuki Sekitani, Yu Zhao
    • Journal Title

      European Journal of Operational Research

      Volume: 306 Issue: 3 Pages: 1296-1310

    • DOI

      10.1016/j.ejor.2022.09.001

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Nonparametric Estimation of the Production Frontier Using a Data-Fitting Technique2022

    • Author(s)
      Yu Zhao
    • Journal Title

      Frontiers in Artificial Intelligence and Applications

      Volume: 352 Pages: 9-20

    • DOI

      10.3233/faia220079

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] Sustainable Performance Evaluation and Prediction of the Banking Sector: Opening the Black Box of DEA with Machine Learning and Explainable AI2025

    • Author(s)
      Yu Zhao
    • Organizer
      17th International Conference on Machine Learning and Computing
    • Related Report
      2024 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A Density-Weighted Information Gain Tree for Clustering Mixed-Type Data2024

    • Author(s)
      Yu Zhao
    • Organizer
      7th International Conference on Data Science and Information Technology
    • Related Report
      2024 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A Tree-Based Resampling Approach for Estimating Statistical Production Frontier and Confidence Intervals of Efficiencies2024

    • Author(s)
      Yu Zhao
    • Organizer
      The 20th Annual Meeting & International Conference of OR Society of TAIWAN (ORSTW 2024)
    • Related Report
      2024 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A Forest-Based Resampling Approach for Estimating Statistical Production Frontier and Confidence Intervals of Efficiencies2024

    • Author(s)
      Yu Zhao
    • Organizer
      International Conference on Data Envelopment Analysis 2024
    • Related Report
      2024 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Evaluating Efficiency in DEA with Consideration of Probabilistic Variations in Data2024

    • Author(s)
      Yu Zhao
    • Organizer
      2024 INFORMS Annual Meeting
    • Related Report
      2024 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A Tree-Based Method for Bootstrapping in Data Envelopment Analysis2024

    • Author(s)
      Yu Zhao
    • Organizer
      The 2nd Joint Conference on Statistics and Data Science in China
    • Related Report
      2024 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A Maximum Russell Graph Measure with Strong Monotonicity and Closest Targets2024

    • Author(s)
      関谷和之, 趙宇
    • Organizer
      日本オペレーションズ・リサーチ学会2024年春季研究発表会
    • Related Report
      2023 Research-status Report
  • [Presentation] An empirical data-fitting approach to estimate the production frontier2023

    • Author(s)
      Zhao Yu
    • Organizer
      DEA45: International Conference on Data Envelopment Analysis
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research
  • [Presentation] Maximum Russell graph measures and extended production possibility sets2023

    • Author(s)
      関谷和之, 趙宇
    • Organizer
      日本オペレーションズ・リサーチ学会2023年春季研究発表会
    • Related Report
      2022 Research-status Report
  • [Presentation] Strongly Monotonic Efficiency Measures in Data Envelopment Analysis2022

    • Author(s)
      Yu Zhao
    • Organizer
      2022 INFORMS Annual Meeting
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Nonparametric Estimation of the Production Frontier Using a Data-Fitting Technique2022

    • Author(s)
      Yu Zhao
    • Organizer
      The 3rd International Conference on Modern Management based on Big Data (MMBD2022)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] 統計的 DEA 法とその応用について2022

    • Author(s)
      趙宇
    • Organizer
      東京理科大学総合研究院統計科学部門第 15 回統計科学セミナー
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] 不確実性を考慮した生産フロンティアの推定手法とその応用について2022

    • Author(s)
      趙宇
    • Organizer
      スケジューリング学会リスクマネジメント研究部会
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] A well-defined extended production possibility set and strongly monotonic efficiency measures2022

    • Author(s)
      関谷和之, 趙宇
    • Organizer
      日本オペレーションズ・リサーチ学会2022年秋季研究発表会
    • Related Report
      2022 Research-status Report
  • [Presentation] ノンパラメトリックなアプローチによる生産フロンティアの推定2022

    • Author(s)
      趙宇
    • Organizer
      日本OR学会九州支部2022年度第1回講演会・研究会
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] 統計的DEA法2022

    • Author(s)
      趙宇, 国友直人
    • Organizer
      2022年度統計関連学会連合大会
    • Related Report
      2022 Research-status Report
  • [Presentation] LP approach to the least-distance efficiency of nonlinear DEA models2022

    • Author(s)
      関谷和之, 趙宇
    • Organizer
      日本オペレーションズ・リサーチ学会2022年春季研究発表会
    • Related Report
      2022 Research-status Report
  • [Presentation] LP approach to the least-distance efficiency measures2022

    • Author(s)
      Yu Zhao, Kazuyuki Sekitani
    • Organizer
      京都大学数理解析研究所共同研究(公開型)「数理最適化の理論と応用の深化」
    • Related Report
      2022 Research-status Report
  • [Book] Operations Management and Management Science (Chapter 5: Performance measurement using deterministic and stochastic multiplicative directional distance functions)2023

    • Author(s)
      Yu Zhao
    • Total Pages
      222
    • Publisher
      IntechOpen
    • Related Report
      2022 Research-status Report

URL: 

Published: 2022-04-19   Modified: 2026-01-16  

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