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Data Envelopment Approximation model in the Stochastic Frontier Analysis and Its Application to TV Advertising Planning

Research Project

Project/Area Number 13630123
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Commerce
Research InstitutionOsaka University

Principal Investigator

TAKEDA Eiji  Osaka University, Graduate School of Economics, Professor, 大学院・経済学研究科, 教授 (80106624)

Project Period (FY) 2001 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 2002: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2001: ¥1,600,000 (Direct Cost: ¥1,600,000)
KeywordsAdvertising planning / Stochastic frontier analysis / Data envelopment analysis / TV advertising efficiency / 効率性 / マーケティング / 確率フロンティア / 広告計画 / メディア・ミックス / 個人視聴率データ / ノンパラメトリックアプローチ
Research Abstract

This report is concerned with TV advertising efficiency.
The substantial volume of the past research on advertising has focused on advertising effectiveness. On the other hand, although advertising productivity (or efficiency) has been identified as an important issue, research on advertising productivity is still limited. The efficiency is measured by the ratio of observed oulput(s) to maximum potential output(s) obtainable from the given input(s). The frontier analysis addresses advertising efficiency. There are, however, not least situations in which it is difficult to know the functional fame of the frontier, for instance, the maximum awareness value of the audiences given the number of repetitive insertions of a certain TV commercial to dayparts because of many factors in TV advertising.
In this report,
1. we proposed the data envelopment approximation (DEAP) model for an optimization problem in the stochastic frontier model with unknown functional form of the frontier based on DEA. As an application, we described the optimal allocation of spots to dayparts so as to maximize the "CM- awareness" under the constraint of advertising budget using the past TV commertials by CM-KARTE;
2. we also employed another DEA approach to the problem of repetitive insertions of a certain TV commercial to dayparts so as to attain the maximum "reach" of each target segment simultaneously. In general, there are enormous daypart combinations within an advertising budget because of a fine partition of time interval of day. Therefore, generating many individual allocating patterns and exploring efficient allocations which are progressively located by DEA, a near optimal daypart allocation under the constraint of advertising budget is examined.

Report

(3 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • Research Products

    (6 results)

All Other

All Publications (6 results)

  • [Publications] Eiji Takeda: "A method for multiple pseudo-criteria decision problems"Computers & Operations Research. Vol.28. 1427-1439 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Tetsuzo Tanino 他: "Multi-Objective Programming and Goal-Programming"Spriner-Verlag. 427 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Takeda, E.: "A method for multiple pseudo-criteria decision problem"Computers and Operations Research. Vol.28. 1427-1439 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Chenayah, S and E. Takeda, Tanino, T., Tanaka,T., and Inuiguchi, M.(eds.): "Psuedo-Criterion Approaches to Evaluating Alternatives in Mangrove Forests Management, Multi-Objective Programming and Goal-Programming"389-394 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Tanaka, K and E. Takeda, Tanino, T., Tanaka, T., and Inuiguchi, M.(eds.): "DEA Approach to the Allocation of Various TV Commeecials to Dayparts, Multi-Objective Programming and Goal-Programming"Springer-Verlag. 403-406 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Eiji Takeda: "A method for multiple pseudo-criteria decision problems"Computers & Operations Research. vol.28, No.14. 1427-1439 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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