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2013 Fiscal Year Final Research Report

Development of the nonlinear DEA aimed at improvement of the reliability and the practicality by the advanced optimization techniques

Research Project

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Project/Area Number 23510165
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(系)研究科(研究院), 教授 (60256667)

Co-Investigator(Kenkyū-buntansha) SHI Jainming  東京理科大学, 経営学部, 教授 (70287465)
FUKUYAMA Hirofumi  福岡大学, 商学部, 教授 (80218958)
Project Period (FY) 2011 – 2013
KeywordsDEA / 数理計画
Research Abstract

Data Envelopment Analysis (DEA) is a managerial approach to evaluate performance/efficiency of various organizations. The DEA is one of very popular OR (Operations Research) methods. Furthermore, DEA is closely linked to production economics. DEA provides not only the efficiency score of each Decision Making Unit (DMU) but also a target to improve the efficiency of the DMU. Identification of the improvement target depends on DEA models that are formulated as mathematical programming problems. The previous DEA studies are explored in the analytical framework of a linear programing (LP). The LP-based DEA is easy to modeling and analysis, however, it has several shortcomings, such as the degenerations and finding the farthest benchmark on improvement.
This research project develops nonlinear DEA models and its solutions explored in advanced optimization techniques. A part of the research project result is rewarded by the Operations Research Society of Japan in 2013.

  • Research Products

    (19 results)

All 2014 2013 2012 2011 Other

All Journal Article (7 results) (of which Peer Reviewed: 6 results) Presentation (12 results)

  • [Journal Article] Input-output substitutability and strongly monotonic p-norm least distance DEA measures2014

    • Author(s)
      Hirofumi Fukuyama, Yasunobu Maeda, Kazuyuki Sekitani, Jianming Shi
    • Journal Title

      European Journal of Operational Research

      Volume: Vol. 237, No. 3 Pages: 997-1007

    • Peer Reviewed
  • [Journal Article] 最短距離DEAの単調性に関する検証2013

    • Author(s)
      安藤和敏,金満達也, 前田恭伸, 関谷和之
    • Journal Title

      オペレーションズ・リサーチ

      Volume: Vol. 58 No. 12 Pages: 732-742

    • Peer Reviewed
  • [Journal Article] Least distance based inefficiency measures on the Pareto-efficient frontier in DEA2012

    • Author(s)
      Kazutoshi Ando, Atsuhiko Kai, Yasunobu Maeda, Kazuyuki Sekitani
    • Journal Title

      Journal of Operations Research of Japan

      Volume: Vol. 55, No. 1 Pages: 73-91

    • Peer Reviewed
  • [Journal Article] Decomposing the efficient frontier of the DEA production possibility set into a smallest number of convex polyhedrons by mixed integer programming2012

    • Author(s)
      Hirofumi Fukuyama, Kazuyuki Sekitani
    • Journal Title

      European Journal of Operational Research

      Volume: Vol. 221 Pages: 165-174

    • Peer Reviewed
  • [Journal Article] An efficiency measure satisfying the Dmitruk-Koshevoy criteria on DEA technologies2012

    • Author(s)
      Hirofumi Fukuyama, Kazuyuki Sekitani
    • Journal Title

      Journal of Productivity Analysis

      Volume: Vol. 38 No. 2 Pages: 131-143

    • Peer Reviewed
  • [Journal Article] 最短距離DEAによるプログラムコンテスト「敢闘賞」の決定2012

    • Author(s)
      安藤和敏,伊藤公人, 甲斐充彦, 前田恭伸, 関谷和之
    • Journal Title

      オペレーションズ・リサーチ

      Volume: Vol. 57, No. 6 Pages: 315-321

  • [Journal Article] Distance optimization approach to ratio-form efficiency measures in data envelopment analysis

    • Author(s)
      Hirofumi Fukuyama, Hiroya Masaki, Kazuyuki Sekitani, Jianming Shi
    • Journal Title

      Journal of Productivity Analysis

      Volume: (採録決定)

    • DOI

      10.1007/s11123-013-0366-7

    • Peer Reviewed
  • [Presentation] Distance optimization approach to ratio-form efficiency measures in DEA2014

    • Author(s)
      福山博文, 正木裕也, 関谷和之, 施建明
    • Organizer
      日本 OR 学会春季研究発表会
    • Place of Presentation
      大阪大学
    • Year and Date
      20140300
  • [Presentation] 2入力1出力DEAに対する最短距離非効率尺度の単調性の特徴付け2013

    • Author(s)
      関谷和之, 安藤和敏, 金満達也, 前田恭伸
    • Organizer
      日本 OR 学会秋季研究発表会
    • Place of Presentation
      徳島大学
    • Year and Date
      20130900
  • [Presentation] Input-oriented enhanced efficiency measures and Malmquist Indexes : An application to Japanese Banking2013

    • Author(s)
      関谷和之, 福山博文
    • Organizer
      13th European Workshop on Efficiency and Productivity Analysis
    • Place of Presentation
      Helsinki, Finland, Aalto University
    • Year and Date
      20130600
  • [Presentation] 最短距離 DEA の発展と諸問題2012

    • Author(s)
      関谷和之
    • Organizer
      日本オペレーションズリサーチ学会研究部会「評価のOR」
    • Place of Presentation
      政策研究大学院大学
    • Year and Date
      20121200
  • [Presentation] Linking conditions of Network DEA2012

    • Author(s)
      関谷和之, 笹山賢司
    • Organizer
      日本 OR 学会秋季研究発表会
    • Place of Presentation
      ウィンクあいち
    • Year and Date
      20120900
  • [Presentation] LEAST DISTANCE EFFICIENCY MEASURES SATISFYING STRONGMONOTONICITY ON THE EFFICIENT FRONTIER2012

    • Author(s)
      Hirofumi Fukuyama, Kazuyuki Sekitani, Jianming Shi
    • Organizer
      10th International Conference on DEA
    • Place of Presentation
      Pestana Natal
    • Year and Date
      20120800
  • [Presentation] Measuring Japanese Bank Performance : A Dynamic Network DEA Approach2012

    • Author(s)
      Hirofumi Fukuyama, Kazuyuki Sekitani, William L. Weber
    • Organizer
      Asia-Pacific Productivity Conference (APPC 2012)
    • Place of Presentation
      King Mongkut's Inst. of Tech. Ladkrabang
    • Year and Date
      20120600
  • [Presentation] Simultaneous idenfication of efficiency status and effiiciency score in DEA2012

    • Author(s)
      関谷和之, 土屋佳祐
    • Organizer
      日本 OR 学会春季研究発表会
    • Place of Presentation
      防衛大学校
    • Year and Date
      20120300
  • [Presentation] Some properties of efficiency and inefficiency in network DEA2012

    • Author(s)
      Kenji Sasayama, Kazuyuki Sekitani, Hirofumi Fukuyama, S. M Mirdehghan
    • Organizer
      DEA Symposium 2012
    • Place of Presentation
      成蹊大学
    • Year and Date
      20120200
  • [Presentation] Least distance based inefficiency measure of the Pareto efficient frontier of DEA2011

    • Author(s)
      Ando Kazutoshi, Kai Atsuhiko, Maeda Tadanobu, Sekitani Kazuyuki
    • Organizer
      日本 OR 学会
    • Place of Presentation
      甲南大学
    • Year and Date
      20110900
  • [Presentation] Minimum distance based inefficiency measure to the Pareto efficiency frontier2011

    • Author(s)
      関谷和之
    • Organizer
      横浜国立大学経営学部ワークショップ
    • Place of Presentation
      横浜国立大学
    • Year and Date
      20110800
  • [Presentation] 削減不可能な入出力に対する改善目標の設定 -グループ学習活動評価へのDEA の適用-2011

    • Author(s)
      関谷和之
    • Organizer
      日本 OR 学会研究部会「評価のOR」
    • Place of Presentation
      政策研究大学院大学
    • Year and Date
      20110600

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Published: 2015-07-16  

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