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A DEA theoretical foundation coping with both precise improvement target and quality assurance of efficiency measurement

Research Project

Project/Area Number 26350421
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Social systems engineering/Safety system
Research InstitutionShizuoka University

Principal Investigator

Sekitani Kazuyuki  静岡大学, 工学部, 教授 (60256667)

Co-Investigator(Kenkyū-buntansha) 安藤 和敏  静岡大学, 工学部, 准教授 (00312819)
山本 芳嗣  静岡大学, 工学部, 客員教授 (00119033)
Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords経営効率性分析 / 最適化問題 / 公理的アプローチ / 列挙アルゴリズム / 数理計画 / オペレーションズリサーチ / 最適化 / 凸解析 / DEA / 国際情報交換
Outline of Final Research Achievements

Data Envelopment Analysis (DEA) is a marginal approach to evaluate performance/efficiency of various organizations. The DEA is one of very popular OR (Operations Research) schemes and it has a theoretical background of micro economics. The DEA provides not only the efficiency score but also improvement target. The conventional DEA models find the farthest target from the evaluated organization. The farthest target is difficult to be practically attained because there is significant difference between the target and the organization. This study explores the minimum distance inefficiency measure for the DEA model. A critical issue is that this measure does not satisfy monotonicity, i.e., the measure may provide a better evaluation score to an inferior decision making unit (DMU) than to a superior one. To overcome this, we focus several special classes of the DEA model, and show that for these models, the minimum distance inefficiency measure satisfies the monotonicity property.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (12 results)

All 2017 2016 2015 2014 Other

All Int'l Joint Research (1 results) Journal Article (3 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 3 results,  Open Access: 1 results,  Acknowledgement Compliant: 3 results) Presentation (7 results) (of which Invited: 1 results) Book (1 results)

  • [Int'l Joint Research] University of Copenhagen(Denmark)

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Monotonicity of minimum distance inefficiency measures for Data Envelopment Analysis2017

    • Author(s)
      Kazutoshi Andoa, Masato Minamidea, Kazuyuki Sekitani, Jianming Shi
    • Journal Title

      European Journal of Operational Research

      Volume: 260 Issue: 1 Pages: 232-243

    • DOI

      10.1016/j.ejor.2016.12.028

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Efficiency Measurement with a Non-Convex Free Disposal Hull Technology2016

    • Author(s)
      Hirofumi Fukuyama, Jens Leth Hougaard, Kazuyuki Sekitani, Jianming Shi
    • Journal Title

      Journal of the Operational Research Society

      Volume: 67 Issue: 1 Pages: 9-19

    • DOI

      10.1057/jors.2015.41

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Efficiency measurement with a nonconvex free disposal hull technology2015

    • Author(s)
      Hirofumi Fukuyama, Jens Leth Hougaard, Kazuyuki Sekitani, Jianming Shi
    • Journal Title

      Journal of Operational Research Society

      Volume: x Pages: 1-13

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] 五輪メダル獲得国別評価 に対する最短距離非凸D EAモデルと金銀銅メダ ル枚数で表示する非効率 性尺度の開発2016

    • Author(s)
      関谷和之,南翔太
    • Organizer
      日本オペレーションズ・リサーチ学会 2016年秋季研究発表会
    • Place of Presentation
      山形大学 小白川キャンパス 山形県 山形市
    • Year and Date
      2016-09-15
    • Related Report
      2016 Annual Research Report
  • [Presentation] Monotonic inefficiency measures of least distance DEA2016

    • Author(s)
      南出将仁, 安藤和敏, 関谷和之, 施建明
    • Organizer
      日本オペレーションズ・リサーチ学会2016年春季研究発表会
    • Place of Presentation
      慶応義塾大学,神奈川県横浜市
    • Year and Date
      2016-03-16
    • Related Report
      2015 Research-status Report
  • [Presentation] 乗数形式2段階DEAにおける非協力・協力型モデルとの一致性2016

    • Author(s)
      中澤友哉, 吉竹洵人, 関谷和之
    • Organizer
      日本オペレーションズ・リサーチ学会2016年春季研究発表会
    • Place of Presentation
      慶応義塾大学,神奈川県横浜市
    • Year and Date
      2016-03-16
    • Related Report
      2015 Research-status Report
  • [Presentation] 乗数形式2段階DEA協力型モデルの効率値に対する計算2016

    • Author(s)
      中澤友哉, 山本芳嗣, 関谷和之
    • Organizer
      日本オペレーションズ・リサーチ学会2016年春季研究発表会
    • Place of Presentation
      慶応義塾大学,神奈川県横浜市
    • Year and Date
      2016-03-16
    • Related Report
      2015 Research-status Report
  • [Presentation] 出力データの変動に応じて効率値が変化する2段階DEA2014

    • Author(s)
      北森拓也, 関谷和之
    • Organizer
      日本オペレーションズ・リサーチ学会
    • Place of Presentation
      北海道科学大学(札幌市)
    • Year and Date
      2014-08-29 – 2014-08-30
    • Related Report
      2014 Research-status Report
  • [Presentation] 最短距離DEAの性質2014

    • Author(s)
      南出将仁, 関谷和之
    • Organizer
      日本オペレーションズ・リサーチ学会
    • Place of Presentation
      北海道科学大学(札幌市)
    • Year and Date
      2014-08-29 – 2014-08-30
    • Related Report
      2014 Research-status Report
  • [Presentation] An Illustrated Guide to the ANALYTIC HIERARCHY PROCESS and the ANALYTIC NETWORK PROCESS2014

    • Author(s)
      関谷和之
    • Organizer
      日本OR学会研究部会「評価のOR」
    • Place of Presentation
      斜里町公民館(北海道)
    • Year and Date
      2014-08-06
    • Related Report
      2014 Research-status Report
    • Invited
  • [Book] 『サービスサイエンスの基礎』第5章「ランキングを求める数理的方法」2014

    • Author(s)
      高木英明,関谷和之
    • Total Pages
      25
    • Publisher
      筑波大学出版会
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2018-03-22  

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