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Development of optimization model analysis for mutual evaluation systems

Research Project

Project/Area Number 15510123
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 Univ., Fac.of Engineering, Assoc.Professor, 工学部, 助教授 (60256667)

Co-Investigator(Kenkyū-buntansha) ANDO Kazutoshi  Shizuoka Univ., Fac.of Engineering, Assoc.Professor, 工学部, 助教授 (00312819)
Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 2005: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2004: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2003: ¥900,000 (Direct Cost: ¥900,000)
KeywordsMathematical programming / Optimization model / AHP / ANP / DEA / Operations Research / Engenvalue problem / 相互評価 / サプライチェーン / 意思決定 / 合意形成 / 相互評価システム / RTS
Research Abstract

This purpose of this study is to develop optimization modeling approaches to mutual evaluation systems that are Analytical Hierarchy Process (AHP), Analytical Network Process(ANP) and Data Envelopment Analysis(DEA). This study is carded out by theoretical approaches on the mathematical programming and empirical studies for managerial decision making problems.
We build a class of optimization models based on the eigenvector method and a sensitivity analysis for AHP/ANP. This approach is examined for personnel evaluation and a strategic decision making problem of the Supply Chain Management. We round that the conventional method provides a strange output that is not affected by a part of input data. A sufficient condition for the non response output is given. It is well known that an inner dependence among input data on the personnel evaluation is occurred. By incorporating Bayes theorem into the eigenvector method, we develop an optimization model that is effective to remove the inner dependence. Furthermore, it is free from a contradiction on a group consensus that is occurred in the conventional method.
We develop a new DEA model in time-series data and a single step measurement of Returns to Scale(RTS). The new DEA model for time-series analysis is well applied to measure relative efficiency among electric power companies. The single step RTS measurement has an advantage over the conventional multiphase measurement of RTS because the multiphase analysis occurs bias errors among the previous phase and the current one

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (22 results)

All 2005 2004 2003 Other

All Journal Article (17 results) Publications (5 results)

  • [Journal Article] Returns to scale in dynamic DEA2005

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

      European Journal of Operational Research 161

      Pages: 536-544

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] A new approach of revising unstable data in ANP by Bayes Theorem2005

    • Author(s)
      K.Sekitani, I.Takahashi
    • Journal Title

      Journal of the Operations Research Society of Japan 48

      Pages: 24-40

    • NAID

      110001192103

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] 道路関係四公団民営化推進委員会「意見書」に基づく道路公団分割民営化2005

    • Author(s)
      白川琢朗, 鈴木崇弘, 関谷和之
    • Journal Title

      システム/制御/情報 49

      Pages: 90-95

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] Privating four heighway-related Public corporations in the last written statement of promotion committee for their Privatization2005

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

      Systems, Control and information 49

      Pages: 9-95

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A new approach of revising unstable data in ANP by Bayes Theorem,2005

    • Author(s)
      K.Sekitani, I.Takahashi
    • Journal Title

      Journal of the Operations Research Society of Japan 48

      Pages: 24-40

    • NAID

      110001192103

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Remarks on the Concurrent Convergence Method for a Typical Mutual Evaluation System2004

    • Author(s)
      K.Sekitani, H.Ueta
    • Journal Title

      Journal of the Operations Research Society of Japan 47

      Pages: 82-95

    • NAID

      110001184534

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] A use of Analytical Network Process for Supply Chain Management2004

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

      International Journal of Asia Pacific Management Review 9

      Pages: 783-800

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] A use of Analytical Network Process for Supply Chain Management2004

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

      International Journal of Asia Pacific Management 9

      Pages: 783-800

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A model-based AHP including the case of incomplete information2003

    • Author(s)
      K.Sekitani, N.Yamaki
    • Journal Title

      International Journal of Asia Pacific Management Review 8

      Pages: 241-258

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] AHP,ANPの固有ベクトル法における数理構造2003

    • Author(s)
      関谷和之
    • Journal Title

      オペレーションズリサーチ 48

      Pages: 294-299

    • NAID

      110001183702

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] ANPを組み込んだAHPの適用 : 教員の評価を例題として2003

    • Author(s)
      関谷和之
    • Journal Title

      オペレーションズリサーチ 48

      Pages: 259-264

    • NAID

      110001183697

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A model-based AHP including the case of incomplete information2003

    • Author(s)
      K.Sekitani, N.Yamaki
    • Journal Title

      International Journal of Asia Pacific Management 8

      Pages: 241-258

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Mathematical Strucuture of eigenvector method of AHP ANP2003

    • Author(s)
      K.Sekitani
    • Journal Title

      Communication of Operations Research 48

      Pages: 294-299

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Application of AHP containing ANP-illustrative example : mutual evaluation between teaching staff and students---2003

    • Author(s)
      I.Sekitani
    • Journal Title

      Communication of Operations Research 48

      Pages: 259-264

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Remarks on the Concurrent Convergence Method for a Typical Mutual Evaluation System2003

    • Author(s)
      K.Sekitani, H.Ueta
    • Journal Title

      Journal of the Operations Research Society of Japan 48

      Pages: 82-95

    • NAID

      110001184534

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Measurement of Returns to Scale Using a Non-Radial DEA Model : A Range-Adjusted Measure Approach

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

      European Journal of Operational Research (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Measurement of Returns to Scale Using a Non-Radial DEA Model : A Range-Adjusted Measure Approach

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

      European Journal of Operational Research (In press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Publications] Kazuyuki Sekitani, Hiromitsu Ueta: "Remarks on the Concurrent Convergence Method for a Typical Mutual Evaluation System"Journal of the Operations Research Society of Japan. (掲載予定).

    • Related Report
      2003 Annual Research Report
  • [Publications] Kazuyuki Sekitani, Naokazu Yamaki: "A model-based AHP including the case of incomplete information"International Journal of Asia Pacific Management Review. 8. 241-258 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Toshiyuki Sueyoshi, Kazuyuki Sekitani: "Returns to scale in dynamic DEA"European Journal of Operational Research. (掲載予定). (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 関谷和之: "AHP,ANPの固有ベクトル法における数理構造"オペレーションズリサーチ. 48. 294-299 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 関谷和之: "ANPを組み込んだAHPの適用:教員の評価を例題として"オペレーションズリサーチ. 48. 259-264 (2003)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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