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A Study on Overall Efficiency Measure in Data Envelopment Analysis

Research Project

Project/Area Number 09680415
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 社会システム工学
Research InstitutionNational Graduate Institute for Policy Studies Grant-in-Aid for Scientific Research (C) (2)

Principal Investigator

TONE Kaoru  National Graduate GRIPS Professor Intitute for Graduate Policy studies, School, 政策研究科, 教授 (00051235)

Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 1998: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1997: ¥1,300,000 (Direct Cost: ¥1,300,000)
KeywordsDEA / slackes / Mix efficiency / ミックス効率 / スラックス / 効率値
Research Abstract

In this study, I proposed a slacks-based measure of efficiency (SBM) in Data Envelopment Analysis (DEA). This measure takes account of input excesses and output shortfalls that are not involved in the radial measures of efficiency e.g. the CCR and the BCC measures. This measure (SBM) is defined as a ratio of two terms, one concerning with the output shortfalls, and the other with the input excesses, It was proved that SBM is not greater than the COR measure. SBM can be modified to cope with input-orientation as well as output-orientation. These modifications make easy the comparisons of SBM with the traditional measures of efficiencies. I then observed the dual side of SBM and found that it maximizes a virtual profit. As a consequence, SBM can be interpreted in terms of economics. Hence, price information on inputs and outputs can be incorporated in a similar way as the assurance region method and the cone-ratio model. Furthermore, I studied on the subjects such as decomposition of inefficiency into mix, technical and pure technical inefficiencies. These results will expand the application areas of DEA.

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (9 results)

All Other

All Publications (9 results)

  • [Publications] Cooper and Tone: "Measuris of Inefficiency in DEA and Stochastic Frontier Estimation" European Journal of Operational Research. 99. 72-88 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 刀根薫: "評価のORと数理計画-DEAを中心として-" オペレーションズ・リサーチ. 43・2. 76-80 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Tone: "Computational Approaches to Economic Problems(eds Amman他)" Kluwer Academic Publishers, Dordrecht, 91-109 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Cooper and Tone: "Measures of Inefficiency in DEA and Stochastic Frontier Estimation" European Journal of Operational Research. 99. 72-88 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Tone: "OR for Evaluation using Mathematical Programming-In Case of DEA- (in Japanese)" Communications of the Operations Research Sociely of Japan. 43. 76-80 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Tone: "Several Algorithms to Determine Multipliers for Use in Cone-Ratio Envelopment Approaches to Efficiency Evaluations in DEA" in Amman et al. (eds) Compulutional Approache to Economic Problems. Klumer Academic Publisbers, Dordrecht. 91-109 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Cooper and Tone: "Measures of Inefficiency in DEA and Stochastic Frontier Estimation" European'Journal of Operational Research. 99. 72-88 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] 刀根 薫: "評価のORと数理計画-DEAを中心として-" オペレージョンズ・リサーチ. 43・2. 76-80 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] K.Tone: "Computational Approaches to Economic Problems (eds, Amman 他)" Kluwer Academic Publishers, Dordrecht, 91-109 (1997)

    • Related Report
      1998 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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