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A optimization modeling and analysis for mutual evaluation with symmetry

Research Project

Project/Area Number 18510121
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Social systems engineering/Safety system
Research InstitutionShizuoka University

Principal Investigator

SEKITANI Kazuyuki  Shizuoka University, 工学部, 教授 (60256667)

Co-Investigator(Kenkyū-buntansha) 安藤 和敏  静岡大学, 工学部, 助教授 (00312819)
Project Period (FY) 2006 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥2,850,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥450,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2006: ¥900,000 (Direct Cost: ¥900,000)
Keywords階層化意思決定法(AHP) / データ包絡分析法(DEA) / 経営科学 / 数理計画 / 意思決定 / 最適化 / AHP / ANP / DEA / 最適化モデル分析 / オペレーションズリサーチ
Research Abstract

相互評価であるAHP, ANP, DEAにおける理論と応用の両面からの展開とその融合研究を行った。一対比較行列に対する最小χ二乗法の開発, 固有ベクトル法による超行列分析の開発, 多重DEA解に対する対処などの理論的貢献とこれらの成果の多様な分野への適用による事例研究における応用面での貢献を得ることができた。これらの研究成果は、国内外の科学雑誌に掲載され, 国際会議等で口頭発表を実施した.これらの研究活動により, 国際交流の活性化し, 国内における意思決定法の研究の中心的役割を果たすことができた。

Report

(4 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (30 results)

All 2009 2008 2007 2006 Other

All Journal Article (16 results) (of which Peer Reviewed: 7 results) Presentation (14 results)

  • [Journal Article] DEA conges-tion and returns to scale under an occurrence of multiple optimal projections2009

    • Author(s)
      T. Sueyoshi and K. Sekitani
    • Journal Title

      European Journal of Operational Research vol. 194

      Pages: 592-607

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] An occurrence of multiple projections in DEA-based measurement of technical efficiency : theoretical comparison among DEA models from desirable properties2009

    • Author(s)
      Sueyoshi, K. Sekitani.
    • Journal Title

      European Journal of Operational Research 196

      Pages: 764-794

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Congestion and returns to scale : A theoretical synthesis under an occurrence of multiple projections2009

    • Author(s)
      T. Sueyoshi, K. Sekitan
    • Journal Title

      European Journal of Operational Research 194

      Pages: 592-607

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the existence of consensus weights of group decision DEA2008

    • Author(s)
      M. Kuraoka, K. Sekitani
    • Journal Title

      Proceedings of DEA symposium 2008

      Pages: 131-136

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Matrix balancing problem and binary AHP2007

    • Author(s)
      K. Genma, Y.Kato and K. Sekitani
    • Journal Title

      Journal of the Operations Research Society of Japan 50

      Pages: 515-539

    • Related Report
      2008 Final Research Report
  • [Journal Article] The measure-ment of returns to scale under a simultaneous occurrence of multiple solutions in a refer-ence set and a supporting hyperplane2007

    • Author(s)
      T. Sueyoshi and K. Sekitani
    • Journal Title

      Euro-pean Journal of Operational Research vol. 181

      Pages: 549-570

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] 例解 ANP2007

    • Author(s)
      関谷和之
    • Journal Title

      オペレーションズリサーチ 52巻

      Pages: 567-571

    • NAID

      110006380773

    • Related Report
      2008 Final Research Report
  • [Journal Article] Computational strategy for Russell measure in DEA : Sec-ond order cone programming2007

    • Author(s)
      T. Sueyoshi and K. Sekitani
    • Journal Title

      European Journal of Operational Research vol.180

      Pages: 459-471

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Measurement of returns to scale using a non-radial DEA model : A range-adjusted measure approach2007

    • Author(s)
      T. Sueyoshi and K. Sekitani
    • Journal Title

      European Journal of Operational Research vol.176

      Pages: 1918-1946

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] 例解ANP2007

    • Author(s)
      関谷 和之
    • Journal Title

      オペレーションズリサーチ 52

      Pages: 567-571

    • NAID

      110006380773

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Matrix Balancing Problem and Binary AHP2007

    • Author(s)
      K. Genma, Y. Kato, K. Sekitani
    • Journal Title

      JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN 50

      Pages: 515-540

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The measurement of returns to scale under a simultaneous occurrence of multiple solutions in a reference set and a supporting hyperplane2007

    • Author(s)
      T.Sueyoshi, K.Sekitani
    • Journal Title

      European Journal of Operational Research 181/2

      Pages: 549-570

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Computational strategy for Russell measure in DEA : Second Order Cone Programming2007

    • Author(s)
      T.Sueyoshi, K.Sekitani
    • Journal Title

      European Journal of Operational Research 180/1

      Pages: 459-471

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A two-stage approach for Russell measure in DEA2007

    • Author(s)
      Y.Kobayashi, K.Sekitani
    • Journal Title

      Proceedings of DEA symposium 2007

      Pages: 90-97

    • Related Report
      2006 Annual Research Report
  • [Journal Article] W杯地域出場枠の競争的配分2006

    • Author(s)
      中村義人, 田村亮, 関谷和之
    • Journal Title

      オペレーションズ・リサーチ 51

      Pages: 319-327

    • NAID

      110004731760

    • Related Report
      2008 Final Research Report 2006 Annual Research Report
  • [Journal Article] An occurrence of multiple projections in DEA-based meas-urement of technical efficiency

    • Author(s)
      T. Sueyoshi and K. Sekitani
    • Journal Title

      Theoretical comparison among DEA models from desir-able properties, European Journal of Opera-tional Research vol. 196

      Pages: 764-794

    • Related Report
      2008 Final Research Report
  • [Presentation] Efficiency measure-ment in an enhanced DEA framework2009

    • Author(s)
      関谷和之, 福山博文
    • Organizer
      日本OR学会2009年春季研究発表会
    • Place of Presentation
      つくば
    • Year and Date
      2009-03-18
    • Related Report
      2008 Final Research Report
  • [Presentation] Efficiency measurement in an enhanced DEA frame-work2009

    • Author(s)
      H. Fukuyama and K. Sekitani
    • Organizer
      DEA Symposium 2009
    • Place of Presentation
      Osaka
    • Year and Date
      2009-01-15
    • Related Report
      2008 Final Research Report
  • [Presentation] Efficiency measurement in an enhanced DEA framework2009

    • Author(s)
      Fukuvama, K. Sekitani
    • Organizer
      DEA symposium 2009
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-01-15
    • Related Report
      2008 Annual Research Report
  • [Presentation] 相互評価における最適化-固有値問題と行列バランシング問題の最適化モデリング-2008

    • Author(s)
      関谷和之
    • Organizer
      日本OR学会研究部会「コンピュテーション」
    • Place of Presentation
      京都大学
    • Year and Date
      2008-12-04
    • Related Report
      2008 Final Research Report
  • [Presentation] 相互評価における最適化-固有値問題と行列バランシング問題の最適化モデリング-2008

    • Author(s)
      関谷和之
    • Organizer
      日本OR学会 研究部会「コンピュテーション」
    • Place of Presentation
      京都大学
    • Year and Date
      2008-12-04
    • Related Report
      2008 Annual Research Report
  • [Presentation] 最適化とAHP2008

    • Author(s)
      関谷和之
    • Organizer
      日本OR学会北海道支部講演会
    • Place of Presentation
      北海道電力北二条クラブ
    • Year and Date
      2008-10-25
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] 選択科目試験による入学者選抜方法への提案2008

    • Author(s)
      関谷和之, 山本芳嗣
    • Organizer
      日本OR学会2008年秋季研究発表会
    • Place of Presentation
      札幌
    • Year and Date
      2008-09-11
    • Related Report
      2008 Final Research Report
  • [Presentation] 選択科目試験による入学者選抜方法への提案2008

    • Author(s)
      関谷和之, 山本芳嗣
    • Organizer
      日本OR学会 秋季研究大会
    • Place of Presentation
      札幌コンベンションセンター
    • Year and Date
      2008-09-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] ラッセルDEAモデルに対する2段階法2008

    • Author(s)
      関谷和之
    • Organizer
      RIMS研究集会「21世紀の数理計画 : 最適化モデルとアルゴリズム」
    • Place of Presentation
      京都大学
    • Year and Date
      2008-07-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] On the exis-tence of consensus weights of group decision DEA2008

    • Author(s)
      M. Kuraoka and K. Sekitani
    • Organizer
      DEA Symposium 2008
    • Place of Presentation
      Tokyo
    • Year and Date
      2008-02-19
    • Related Report
      2008 Final Research Report
  • [Presentation] プロ野球球団の最大勝率算定と補強分析における確率的DEA2007

    • Author(s)
      関谷 和之
    • Organizer
      日本OR学会研究部会「評価のOR」
    • Place of Presentation
      大阪中央電気倶楽部
    • Year and Date
      2007-12-15
    • Related Report
      2007 Annual Research Report
  • [Presentation] プロ野球攻守別戦力活用の分析 : 不確定な入出力値を持つDEA2007

    • Author(s)
      関谷和之, 河合清登
    • Organizer
      日本OR学会2007年秋季研究発表会
    • Place of Presentation
      東京
    • Year and Date
      2007-09-27
    • Related Report
      2008 Final Research Report
  • [Presentation] プロ野球攻守別戦力活用の分析:不確定な入出力値をもつDEA2007

    • Author(s)
      河合 清登、関谷 和之
    • Organizer
      日本オペレーションズリサーチ学会
    • Place of Presentation
      政策研究大学院大学
    • Year and Date
      2007-09-27
    • Related Report
      2007 Annual Research Report
  • [Presentation] A two-stage approach for Russell measure in DEA2007

    • Author(s)
      Y. Kobayashi and K. Sekitani
    • Organizer
      DEA Symposium 2007
    • Place of Presentation
      Osaka
    • Year and Date
      2007-02-20
    • Related Report
      2008 Final Research Report

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Published: 2006-04-01   Modified: 2016-04-21  

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