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A Mathematical Study on Risks of the Limited-cycle problem in Multi-period in society system

Research Project

Project/Area Number 20510130
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Social systems engineering/Safety system
Research InstitutionThe University of Electro-Communications

Principal Investigator

MATSUI Masayuki  The University of Electro-Communications, 大学院・情報理工学研究科, 教授 (00034413)

Co-Investigator(Kenkyū-buntansha) YAMAMOTO Hisashi  首都大学東京, システムデザイン研究科, 教授 (60231677)
SUN Jing  名古屋工業大学, 工学研究科, 助教 (20581010)
Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords多期間制約サイクル問題 / 最適切換 / 最適配置 / 生産座席予約問題 / 生産ライン / 最適切替 / 量適切換
Research Abstract

In this study, we considered a limited-cycle problem in multi-period with a balancing approach. A limited-cycle problem in multi-period is systematically classified to non-reset model and reset model. In non-reset model, first we considered controlling the production process by switching to a faster processing rate at a given period (period-based) or a station (station-based). Next, the mathematic formulations of the total expectation for the above were proposed. Finally, the property of an optimal switching period and an optimal switching station were investigated in detail through numerical experiments. Meanwhile, in reset model, first the mathematic formulation of the total expectation was proposed. Then the problem of workers' assignment to each station was considered. When two kinds of worker exist, properties of workers' optimal assignment which can take a minimized total expected cost of the production process were proposed under a relation between distribution of workers' processing time and costs. Finally, some properties of which three kinds of worker exist were given by numerical experiments.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (32 results)

All 2011 2010 2009 2008

All Journal Article (9 results) (of which Peer Reviewed: 9 results) Presentation (23 results)

  • [Journal Article] An evaluating algorithm for system state distributions of generalized multi-statek-out-of-n:Fsystems2011

    • Author(s)
      Hisashi Yamamoto, Tomoaki Akiba, Takahiro Yamaguchi, Hideki Nagatsuka
    • Journal Title

      日本経営工学会論文誌(英文版)

      Volume: 615 Pages: 347-354

    • NAID

      110008762512

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ノンリセット多期間制約サイクルモデルにおける最適切換問題に関する研究~基準工程により加工率を切換える場合~2010

    • Author(s)
      山本久志, 孫晶, 大石貴之, 松井正之
    • Journal Title

      日本経営工学会論文誌 Vol.61, No.4

      Pages: 234-243

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] A study on limited-cycle scheduling problem with multiple periods2010

    • Author(s)
      山本久志, 孫晶, 松井正之
    • Journal Title

      Computer & Industrial Engineering Vol.59, No.4

      Pages: 675-681

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] A study of optimal switching problem in limited-cycle with multiple periods2010

    • Author(s)
      孫晶, 山本久志, 松井正之
    • Journal Title

      Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering) Vol.11, No.12

      Pages: 933-937

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] An evaluating algorithm for system state distributions of generalized multi-state k-out-of-n : F systems2010

    • Author(s)
      Hisashi Yamamoto, Tomoaki Akiba, Takahiro Yamaguchi, Hideki Nagatsuka
    • Journal Title

      日本経営工学会論文誌(英文版) Vol.61, No.6E

      Pages: 347-354

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Models of P-Control Chart with Tardiness Penalty2010

    • Author(s)
      孫晶, 松井正之
    • Journal Title

      International Journal of Productivity and Quality Management Vol.6, No.2

      Pages: 137-155

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] ノンリセット多期間制約サイクルモデルにおける最適切換問題に関する研究~基準工程により加工率を切換える場合~2010

    • Author(s)
      山本久志, 孫晶, 大石貴之, 松井正之
    • Journal Title

      日本経営工学会論文誌

      Volume: 61 Pages: 234-243

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Astudy on limited-cycle scheduling problem with multiple periods2010

    • Author(s)
      Yamamoto Hisashi, Sun Jing, Matsui Masayuki
    • Journal Title

      Computer & Industrial Engineering

      Volume: 59 Pages: 675-681

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A study of optimal switching problem in limited-cycle with multiple periods2010

    • Author(s)
      Jing Sun, Hisashi Yamamoto, Masayuki Matsui
    • Journal Title

      Journal of Zhejiang University-SCIENCE A(Applied Physics & Engineering)

      Volume: 11 Pages: 933-937

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] Optimal switching period in limited-cycle problem with multiple periods2010

    • Author(s)
      孫晶, 山本久志, 松井正之, 満作才
    • Organizer
      The 11^<th> proceeding of Asia Pacific Industrial Engineering & Management Systems Conference (APIEMS2010)
    • Place of Presentation
      査読有(CD-ROM)
    • Year and Date
      2010-12-08
    • Related Report
      2010 Final Research Report
  • [Presentation] A study of the optimal arrangement of processing system with two kinds of special workers in the limited-cycle problem with multiple periods2010

    • Author(s)
      孔憲達, 孫晶, 山本久志, 松井正之
    • Organizer
      The 11^<th> proceeding of Asia Pacific Industrial Engineering & Management Systems Conference
    • Place of Presentation
      査読有(CD-ROM)
    • Year and Date
      2010-12-08
    • Related Report
      2010 Final Research Report
  • [Presentation] Optimal switching period in limited-cycle problem with multiple periods2010

    • Author(s)
      Jing Sun, Hisashi Yamamoto, Masayuki Matsui, ZuoCai Man
    • Organizer
      The proceeding of 11th Asia Pacific industrial Engineering & Management Systems Conference(APIEMS2010)
    • Place of Presentation
      Melaka, Malaysia.
    • Year and Date
      2010-12-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] Astudy of the optimal arrangement of processing system with two kinds of special workers in the limited-cycle problem with multiple periods2010

    • Author(s)
      Xianda Kong, Jing Sun, Hisashi Yamamoto, Masayuki Matsui
    • Organizer
      The proceeding of 11th Asia Pacific Industrial Engineering & Management Systems Conference(APIEMS2010)
    • Place of Presentation
      Melaka, Malaysia
    • Year and Date
      2010-12-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] A trend on the optimal arrangements in a multi-state consecutive-k-out-of-n : F system2010

    • Author(s)
      Tomonori Komuro, Hisashi Yamamoto, Tomoaki Akiba, Hideki Nagatsuka
    • Organizer
      The proceeding of 4^<th> Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling (APARM2010), 357-364
    • Place of Presentation
      査読有
    • Year and Date
      2010-12-02
    • Related Report
      2010 Final Research Report
  • [Presentation] Atrend on the optimal arrangements in a multi-state consecutive-k-out-of-n:.F system2010

    • Author(s)
      Tomonori Komuro, Hisashi Yamamoto, Tomoaki Akiba , Hideki Nagatsuka
    • Organizer
      The proceeding of 4th Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling(APARM2010)
    • Place of Presentation
      Wellington, New Zealand
    • Year and Date
      2010-12-02
    • Related Report
      2010 Annual Research Report
  • [Presentation] リセット多期間制約サイクル問題における最適配置法則に関する研究~2人の特殊作業者が居る場合~2010

    • Author(s)
      孔憲達, 孫晶, 松井正之, 山本久志
    • Organizer
      日本経営工学会平成22年度秋季大会,250-251
    • Place of Presentation
      査読無
    • Year and Date
      2010-10-24
    • Related Report
      2010 Final Research Report
  • [Presentation] リセット多期間制約サイクル問題における最適配置法則に関する研究~2人の特殊作業者が居る場合~2010

    • Author(s)
      孔憲達, 孫晶, 松井正之, 山本久志
    • Organizer
      日本経営工学会2010秋季大会
    • Place of Presentation
      福岡工業大学
    • Year and Date
      2010-10-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] リセット多期間制約サイクル問題における最適配置法則に関する研究特殊加工率を有する加工者が少人数の場合2010

    • Author(s)
      孔憲達, 孫晶, 松井正之, 山本久志
    • Organizer
      日本経営工学会平成22年度春季大会,14-15
    • Place of Presentation
      査読無
    • Year and Date
      2010-05-15
    • Related Report
      2010 Final Research Report
  • [Presentation] リセット多期間制約サイクル問題における最適配置法則に関する研究-特殊加工率を有する加工者が少人数の場合-2010

    • Author(s)
      孔憲達, 孫晶, 松井正之, 山本久志
    • Organizer
      日本経営工学会2010春季大会
    • Place of Presentation
      日本大学
    • Year and Date
      2010-05-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] ノンリセット多期間制約サイクルモデルにおける最適切換問題に関する研究~基準時間により加工スピードを切換える場合~2009

    • Author(s)
      満作才, 孫晶, 松井正之, 山本久志
    • Organizer
      日本経営工学会平成21年度秋季大会,86-87
    • Place of Presentation
      査読無
    • Year and Date
      2009-11-07
    • Related Report
      2010 Final Research Report
  • [Presentation] リセット多期間制約サイクル問題における最適配置法則に関する研究~特殊な加工者が2人の場合~2009

    • Author(s)
      孔憲達, 孫晶, 松井正之, 山本久志
    • Organizer
      日本経営工学会平成21年度秋季大会,84-85
    • Place of Presentation
      査読無
    • Year and Date
      2009-11-07
    • Related Report
      2010 Final Research Report
  • [Presentation] リセット多期間制約サイクル問題における最適配置法則に関する研究~特殊な加工者が2人の場合~2009

    • Author(s)
      孔憲達, 孫晶, 松井正之, 山本久志
    • Organizer
      日本経営工学会2009秋季大会
    • Place of Presentation
      愛知工業大学 (愛知県)
    • Year and Date
      2009-11-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] ノンリセット多期間制約サイクルモデルにおける最適切換問題に関する研究~基準時間により加工スピードを切り換える場合~2009

    • Author(s)
      満作才, 孫晶, 松井正之, 山本久志
    • Organizer
      日本経営工学会2009秋季大会
    • Place of Presentation
      愛知工業大学 (愛知県)
    • Year and Date
      2009-11-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] A Study of Optimal Switching Point on Limited-Cycle Problem with Multiple Periods2009

    • Author(s)
      Jing Sun, Yamamoto Hisashi, Masayuki Matsui, Oishi Takayuki
    • Organizer
      The 21st International Conference on Production Research
    • Place of Presentation
      Shanghai, China
    • Year and Date
      2009-08-05
    • Related Report
      2009 Annual Research Report
  • [Presentation] A Study of optimal switching point on Limited-Cycle Problem with Multiple Periods2009

    • Author(s)
      Jing Sun, Hisashi Yamamoto, Masayuki Matsui, Oishi Takayuki
    • Organizer
      the proceeding of 19th International Conference on Production Research 2009 (ICPR 2009)
    • Place of Presentation
      査読有(CD-ROM)
    • Year and Date
      2009-08-01
    • Related Report
      2010 Final Research Report
  • [Presentation] A Study on Limited-Cycle Problem with Multiple Periods2008

    • Author(s)
      Jing Sun, Yamamoto Hisashi, Masayuki Matsui, Kuniyoshi Watanabe
    • Organizer
      The 9th Asia Pacific Industrial Engineering & Management System Conference and the 11th Asia Pacific Regional Meeting of International Foundation for Production Research
    • Place of Presentation
      Bali, Indonesia
    • Year and Date
      2008-12-05
    • Related Report
      2008 Annual Research Report
  • [Presentation] A Study on Limited-Cycle Problem with Multiple Periods2008

    • Author(s)
      孫晶, 山本久志, 松井正之, 渡部訓祥
    • Organizer
      The 9th Asia Pacific Industrial Engineering &Management System Conference and the 11th AsiaPacific Regional Meeting of International Foundation for Production Research
    • Place of Presentation
      査読有(CD-ROM)
    • Year and Date
      2008-12-04
    • Related Report
      2010 Final Research Report
  • [Presentation] ノンリセット多期間制約サイクルモデルにおける最適切換問題に関する研究-基準工程及び時間より加工スピードを切換える場合2008

    • Author(s)
      大石貴之, 孫晶, 松井正之, 山本久志
    • Organizer
      日本経営工学会平成20年度秋季大会,296-297
    • Place of Presentation
      査読無
    • Year and Date
      2008-10-19
    • Related Report
      2010 Final Research Report
  • [Presentation] 多期間制約サイクル問題における最適配置法則に関する考察-加工率は2種類の場合2008

    • Author(s)
      渡部訓祥, 孫晶, 松井正之, 山本久志
    • Organizer
      日本経営工学会平成20年度秋季大会,298-299
    • Place of Presentation
      査読無
    • Year and Date
      2008-10-19
    • Related Report
      2010 Final Research Report
  • [Presentation] 多期間制約サイクル問題における最適配置法則に関する考察一加工率は2種類の場合2008

    • Author(s)
      渡部訓祥, 孫 晶, 松井正之, 山本久志
    • Organizer
      日本経営工学会2008春季大会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2008-10-19
    • Related Report
      2008 Annual Research Report
  • [Presentation] ノンリセット多期間制約サイクルモデルにおける最適切換問題に関する研究一基準工程及び時間より加工スピードを切換える場合2008

    • Author(s)
      大石貴之, 孫 晶, 松井正之, 山本久志
    • Organizer
      日本経営工学会2008春季大会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2008-10-19
    • Related Report
      2008 Annual Research Report
  • [Presentation] 多期間制約サイクル問題における最適切換方法に関する研究~ノンリセットモデルの場合(第2報)2008

    • Author(s)
      吉川聡子, 山本久志, 松井正之
    • Organizer
      日本経営工学会平成20年度春季大会,148-149
    • Place of Presentation
      査読無
    • Year and Date
      2008-05-01
    • Related Report
      2010 Final Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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