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A study on how to define a structure function of a multi-state system

Research Project

Project/Area Number 25350441
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Social systems engineering/Safety system
Research InstitutionNagoya Institute of Technology

Principal Investigator

Ohi Fumio  名古屋工業大学, 工学(系)研究科(研究院), 教授 (60116001)

Co-Investigator(Kenkyū-buntansha) Nakade Koichi  名古屋工業大学, 大学院工学研究科, 教授 (50207825)
Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords多状態信頼性システム / 半順序状態空間 / モジュール分解 / 確率的信頼性評価方法 / FTA / 複数部品の最適取り替え政策 / ネットワーク信頼性 / フラクタル的データ解析手法 / フラクタル的データ解析 / 直・並列分解 / 確率的信頼性評価手法 / 二状態システム / 二状態と多状態の相互変換 / 信頼性評価手法 / 多状態システム / 全順序状態空間 / フラクタル的時系列データ解析手法
Outline of Final Research Achievements

For a multi-state system with partially ordered state spaces, we have shown (1)stochastic evaluation methods of performance of the system by a modular decomposition and a decomposition of the structure function into a family of series systems, (2)how to determine the structure function by FTA method, (3)examinations of importance measures in a context of complex network theory, which relates the reliability theory to the complex network theory with understanding the partially ordered state spaces to be networks via Hasse diagram. For a maintenance problem of a multi-state and multi-unit system, a structure of the optimal maintenance policy is explained to be control-limit type by Markovian decision process method.
A fractal analysis method of time series data, called Higuchi method, is mathematically showed to have a relation with the box-counting dimension. We also proposed a new analysis method and showed it to work efficiently in practical situations.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (39 results)

All 2016 2015 2014 2013

All Journal Article (8 results) (of which Peer Reviewed: 5 results,  Acknowledgement Compliant: 4 results) Presentation (31 results) (of which Int'l Joint Research: 7 results,  Invited: 14 results)

  • [Journal Article] Stochastic Evaluation Methods Of A Multi-state System Via A Modular Decomposition2016

    • Author(s)
      Fumio Ohi
    • Journal Title

      Journal of Computation Science

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] FROM A BINARY-STATE SYSTEM TO A MULTI-STATE SYSTEM2016

    • Author(s)
      Fumio Ohi
    • Journal Title

      International Journal of Industrial Engineering: Theory, Applications and Practice

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Converting a Multi-state System into a Family of Binary State Systems2015

    • Author(s)
      Fumio Ohi
    • Journal Title

      International Journal of Performability Engineering

      Volume: 11 Pages: 329-338

    • Related Report
      2015 Annual Research Report 2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] 多状態システムの直列システムによる分解2015

    • Author(s)
      大鑄史男
    • Journal Title

      電子情報通信学会技術研究報告

      Volume: 115 Pages: 31-35

    • Related Report
      2015 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] Steady-State Bounds for Multi-state System Reliability via Modular Decomposition2014

    • Author(s)
      Fumio Ohi
    • Journal Title

      Applied Stochastic Models in Business and Industry, online Wiley Online Library

      Volume: 31 Issue: 3 Pages: 307-324

    • DOI

      10.1002/asmb.2044

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Lattice set theoretic treatment of multi-state coherent systems,2013

    • Author(s)
      Fumio Ohi
    • Journal Title

      Reliability Engineering and System Safety

      Volume: 116 Pages: 86-90

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] 関数の変動量を用いたフラクタル次元2013

    • Author(s)
      大鑄史男
    • Journal Title

      数理解析研究所講究録

      Volume: 1857 Pages: 19-29

    • Related Report
      2013 Research-status Report
  • [Journal Article] 隠れた階層構造を見いだす -試論-2013

    • Author(s)
      大鑄史男
    • Journal Title

      オペレーションズ・リサーチ

      Volume: 58 Pages: 533-539

    • Related Report
      2013 Research-status Report
  • [Presentation] Recent Progress in Multi-state Reliability Theory2016

    • Author(s)
      Fumio Ohi
    • Organizer
      APARM2016
    • Place of Presentation
      Hanyang Institute of Technology (HIT), Seoul Campus, Seoul, Korea
    • Year and Date
      2016-08-24
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] ショックモデル・多状態システム・今考えていること2016

    • Author(s)
      大鑄史男
    • Organizer
      日本OR学会信頼性研究部会
    • Place of Presentation
      金城学院大学栄サテライトキャンパス,名古屋
    • Year and Date
      2016-05-27
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] 信頼性システムに於ける重要度 - 複雑ネットワークの観点から -2016

    • Author(s)
      大鑄史男
    • Organizer
      2016年日本OR学会秋季研究発表会
    • Place of Presentation
      慶應義塾大学矢上キャンパス
    • Year and Date
      2016-03-17
    • Related Report
      2015 Annual Research Report
  • [Presentation] 時系列データのフラクタル的解析方法について2016

    • Author(s)
      大鑄史男
    • Organizer
      経営学会主催ワークショップ「オペレーションズ・リサーチの最近の展開」
    • Place of Presentation
      愛知大学名古屋キャンパス講義棟508
    • Year and Date
      2016-02-20
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] From Binary State to Multi-State Systems in Reliability Theory,2015

    • Author(s)
      Fumio Ohi
    • Organizer
      EAWIE2015, The 2nd East Asia IE Workshop on Logistics and Reliability
    • Place of Presentation
      Yonsei University, Seoul, Korea
    • Year and Date
      2015-11-06
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Binary State Reliability Systems - Onto Multi-State Systems -2015

    • Author(s)
      Fumio Ohi
    • Organizer
      Invited Lecture
    • Place of Presentation
      Department of Industrial Engineering, Pusan National University
    • Year and Date
      2015-11-04
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 稼働時間コストを考慮した部品の修理・取替政策2015

    • Author(s)
      中出康一
    • Organizer
      日本オペレーションズ・リサーチ学会 確率モデルとその応用,信頼性,不確実性環境下の意思決定モデリング3研究部会合同研究集会
    • Place of Presentation
      名古屋工業大学,名古屋市
    • Year and Date
      2015-10-10
    • Related Report
      2015 Annual Research Report
  • [Presentation] FTA による多状態構造関数の決定方法2015

    • Author(s)
      大鑄史男
    • Organizer
      2015年日本OR学会秋季研究発表会
    • Place of Presentation
      九州大学戸畑キャンパス
    • Year and Date
      2015-09-10
    • Related Report
      2015 Annual Research Report
  • [Presentation] 部品の加工順序を考慮した最適刃具保全政策2015

    • Author(s)
      中出康一,土屋至駿
    • Organizer
      2015年日本OR学会秋季研究発表会
    • Place of Presentation
      九州大学戸畑キャンパス
    • Year and Date
      2015-09-10
    • Related Report
      2015 Annual Research Report
  • [Presentation] Indices to Critical Activities in Stochastic PERT Networks2015

    • Author(s)
      Koichi Nakade and Takahito Narumi
    • Organizer
      International Conference on Industrial Engineering and Engineering Management
    • Place of Presentation
      Suntec Convention Center, Singapore
    • Year and Date
      2015-09-06
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 多状態システムの直列システムによる分解2015

    • Author(s)
      大鑄史男
    • Organizer
      電子情報通信学会信頼性研究会(R)
    • Place of Presentation
      青森むつ市本町ホテルニューグリーン
    • Year and Date
      2015-07-31
    • Related Report
      2015 Annual Research Report
  • [Presentation] A Multi-State Series System with Partially Ordered State Spaces2015

    • Author(s)
      Fumio Ohi
    • Organizer
      QR2MSE2015, 2015 International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering
    • Place of Presentation
      JiuHua Resort & Convention Center, Beijing, China
    • Year and Date
      2015-07-21
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Optimal maintenance policy of multiple parts with operating cost dependent on repair level2015

    • Author(s)
      Koichi Nakade and Hiroaki Mikuri
    • Organizer
      International Symposium on Scheduling
    • Place of Presentation
      Kobe Industrial Promotion Center Convention Hall
    • Year and Date
      2015-07-04
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Multi-state systems and binary state systems2015

    • Author(s)
      Fumio Ohi
    • Organizer
      International Summer Seminar 2015 in Hiroshima
    • Place of Presentation
      Hirosima University
    • Year and Date
      2015-06-06
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Multi-state systems and binary state systems2015

    • Author(s)
      Fumio Ohi
    • Organizer
      International Summer Seminar 2015 in Hiroshima
    • Place of Presentation
      Hiroshima University
    • Year and Date
      2015-06-06
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Stochastic Evaluation Methods of Multi-state Systems via Modular Decompositions - A Case of Partially Ordered States –2015

    • Author(s)
      Fumio Ohi
    • Organizer
      MMR2015
    • Place of Presentation
      Tokyo Campus of University of Tsukuba, Tokyo, Japan
    • Year and Date
      2015-06-01 – 2015-06-04
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Stochastic Evaluation Methods of Multi-state Systems via Modular Decompositions - A Case of Partially Ordered States –2015

    • Author(s)
      Fumio Ohi
    • Organizer
      MMR2015, The Ninth International Conference on Mathematical Methods in Reliability: Theory, Methods and Applications
    • Place of Presentation
      Tokyo Campus of University of Tsukuba
    • Year and Date
      2015-06-01
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 多状態直列システムとその同値な条件-半順序集合の場合-2015

    • Author(s)
      大鑄史男
    • Organizer
      日本OR学会2015年春季研究発表会
    • Place of Presentation
      東京理科大学神楽坂キャンパス
    • Year and Date
      2015-03-26 – 2015-03-27
    • Related Report
      2014 Research-status Report
  • [Presentation] 多状態システムの確率的評価方法について2015

    • Author(s)
      大鑄史男
    • Organizer
      確率モデルシンポジウム
    • Place of Presentation
      東北大学桜ホール
    • Year and Date
      2015-01-22 – 2015-01-24
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Stochastic bounds for multi-state systems2014

    • Author(s)
      大鑄史男
    • Organizer
      平成26 年度RIMS 研究集会プログラム「不確実性の下での数理モデルとその周辺」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2014-11-12 – 2014-11-14
    • Related Report
      2014 Research-status Report
  • [Presentation] 信頼性システムにおける部品の重要度2014

    • Author(s)
      大鑄史男
    • Organizer
      日本OR学会2014年春季研究発表会
    • Place of Presentation
      北海道科学大学
    • Year and Date
      2014-08-28 – 2014-08-29
    • Related Report
      2014 Research-status Report
  • [Presentation] Stochastic Bounds for Multi-state Coherent systems via Modular Decompositions – Case of Partially Ordered State Spaces –2014

    • Author(s)
      Fumio Ohi
    • Organizer
      APARM2014
    • Place of Presentation
      Hokkai Gakuen University
    • Year and Date
      2014-08-21 – 2014-08-23
    • Related Report
      2014 Research-status Report
  • [Presentation] Stochastic Evaluation Methods of Multi-State Systems with Partially Ordered State Spaces2014

    • Author(s)
      Fumio Ohi
    • Organizer
      International Summer Seminar 2014 in Hiroshima
    • Place of Presentation
      Hiroshima University
    • Year and Date
      2014-08-19
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Mutual Relationships Between A Multi-state system and Family of Binary Syate Systems2014

    • Author(s)
      Fumio Ohi
    • Organizer
      QR2MSE2014
    • Place of Presentation
      Dalian, Liaoning, China
    • Year and Date
      2014-07-22 – 2014-07-25
    • Related Report
      2014 Research-status Report
  • [Presentation] 多状態システムの信頼性評価方法について2014

    • Author(s)
      大鑄史男
    • Organizer
      日本OR学会信頼性研究部会
    • Place of Presentation
      金城学園大学
    • Year and Date
      2014-05-23
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 時系列データのフラクタル的解析方法について2014

    • Author(s)
      大鑄史男
    • Organizer
      愛知大学経営学会主催ワークショップ「数理的意思決定モデルの新たな展開と応用」
    • Place of Presentation
      愛知大学名古屋校舎
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 商用ビルにおける避難流動のシミュレーション ー 避難計画 ー2014

    • Author(s)
      大鑄史男
    • Organizer
      日本オペレーションズ・リサーチ学会2014年春季研究発表会
    • Place of Presentation
      大阪大学豊中キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] Stochastic Bounds for Multi-state Coherent Systems via Modular Decompositions - Case of Partially Ordered State Spaces –2014

    • Author(s)
      Fumio Ohi
    • Organizer
      6th Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling
    • Place of Presentation
      Hokkai Gakuen University in Sapporo, Hokkaido, Japan
    • Related Report
      2013 Research-status Report
  • [Presentation] Stochastic bounds for multi-state coherent systems2013

    • Author(s)
      Fumio Ohi
    • Organizer
      Mathematical Methods in Reliability 2013 (MMR2013)
    • Place of Presentation
      Protea Hotel, Techno Park, STELLEMBOSCH, SOUTH AFRICA
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 多状態システムの確率上下界について2013

    • Author(s)
      大鑄史男
    • Organizer
      平成25年度RIMS研究集会(11月開催)「不確実性の下での数理的意思決定の理論と応用」
    • Place of Presentation
      京都数理解析研究所
    • Related Report
      2013 Research-status Report
  • [Presentation] 高層ビルにおける避難流動のシミュレーション - 避難計画について ー2013

    • Author(s)
      大鑄史男
    • Organizer
      日本オペレーションズ・リサーチ学会2013年秋季研究発表会
    • Place of Presentation
      徳島大学常三島キャンパス
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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