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尤度比管理図の経済的運用法とその設計に関する研究

Research Project

Project/Area Number 10680434
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 InstitutionUniversity of Osaka Prefecture

Principal Investigator

ARIZONO Ikuo  University of Osaka Prefecture, College of Engineering, Associate Professor, 工学部, 助教授 (20175988)

Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 1999: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1998: ¥1,300,000 (Direct Cost: ¥1,300,000)
Keywords(x, s) Control Chart / Adaptive Control Chart / Double Sampling Control Chart / Taguchi's Loss Function / Economical Operation of Control Chart / Double Sampling管理図 / (χ^^-,s)同時管理図
Research Abstract

The (x, s) control chart which is a kind of the control chart based on the likelihood statistic enables the user to monitor both the sift in process mean and the change in process variance. We have considered the approximate distributions of the log-likelihood ratio statistic in the (x, s) control chart. As a result, it has been possible to decide the control limit under the specified probability of the first kind of error and sample size and to evaluate the power of the (x, s) control chart. Further, the adaptive (x, s) control chart with variable sample size and sampling intervals has been considered for the purpose of improving chart performance. Comparing the powers between the (x, s) control chart and the adaptive (x, s) control chart, it has been confirmed that the performance of the variable sample size and sampling interval (x, s) Control Chart is superior to the (x, s) control chart. Furthermore, the double sampling procedure has been applied to the (x, s) control chart, then the double sampling (x, s) control chart has been proposed. It has been proved that the double sampling (x, s) control chart is particularly effective for decreasing the average run length under the out-of-control state. On the other hand, we defined the expected total operating cost function based on the sampling cost for the (x, s) control chart and the loss derived on the lot quality, then the economical operations of the (x, s) control chart and the loss derived on the lot quality, then the economical operations of the (x, s) control chart have been considered. Consequently, both of the economical operation minimizing the expected total operating cost in the situation that the loss to be considered is specified and the economical, operation minimizing the expected total operating cost for any loss have been presented.

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (7 results)

All Other

All Publications (7 results)

  • [Publications] 青山行宏,渡壁京子,有薗育生: "可変サンプル・サイズと可変サンプリング間隔をもつ(x^^-,s)同時管理図の設計"日本経営工業会論文誌. 49. 374-383 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kyoko Watanabe, Ikuo Anzono: "The Power of the (x^^-,s) Control Chart Based on the Log-Likelihood Ratio Statistic"Saval Research Logistics. 46. 928-951 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Yukihiro AOYAMA, Kyoko WATAKABE and Ikuo ARIZONO: "Design of an Adaptive (x, s) Simulataneous Control Chart with Variable Sample Size and Sampling Intervals"Journal of Japan Industrial Management Association. Vol.49. 374-383 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kyoko WATAKABE and Ikuo ARIZONO: "The Power of the (x, s) Simulataneous Control Chart Based on the Log-Likelihood Ratio Statistic"Naval Research Logistics. Vol.46. 928-951 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 青山行宏,渡壁京子,有薗育生: "可変サンプルサイズと可変サンプリング間隔をもつ(x^^-,s)同時管理図の設計"日本経営工学会論文誌. 49・6. 374-383 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Kyoko Watakabe, Ikuo Arizono: "The Power of the (x,s) Control Chart Based on the Log-Likelihood Ratio Statistic"Saval Research Logistics. 46・8. 928-951 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 青山行宏,渡壁京子,有園育生: "可変サンプル・サイズと可変サンプリング間隔をもつ((χ^^-,s)同時管理図の設計" 日本経営工学会論文誌. 49・6. 374-383 (1999)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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