Optimal Procedure for Condition Monitoring Maintenance

2010 Fiscal Year Final Research Report

• Project/Area Number: 19710125
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Social systems engineering/Safety system
• Research Institution: The University of Electro-Communications
• Principal Investigator: JIN Lu The University of Electro-Communications, 大学院・情報理工学研究科, 助教 (00436734)
• Project Period (FY): 2007 – 2010
• Keywords: 状態監視保全 / 安全性 / 信頼性 / 保全性

Research Abstract

This research investigated an optimal maintenance problem with incomplete observations and showed that, when the transition probability matrix (P) has the stochastic increasing (SI) property, the optimal procedure is given by a monotone procedure if and only if the conditional probability matrix (Γ) is given by an identity matrix. This research brings to a close over 50 years of research on ways to extend the optimality of monotone procedure on the basis of SI ordering of the state probability vectors.
Furthermore, this research studied the optimal structure identification problem for a monitoring system with multiple sensors and identified a necessary and sufficient condition under which a k-out-of-n structure is optimal in terms of minimizing the expected risk. This means that, fewer structures need to be considered when searching for the optimal one.

Research Products

• [Journal Article] Necessary and Sufficient Condition for Control Limit Policy on Partially Observable Markov Decision Process (2011)
  • Author(s): Jin, L., Suzuki, K.
  • Journal Title: Journal of the Japanese Society for Quality Control Vol.42 Pages: 238-249
  • Peer Reviewed
• [Journal Article] Necessary and Sufficient Condition for Optimal k-out-of-n Structure of Monitoring System with n General Sensors (2011)
  • Author(s): Jin, L., Suzuki, K.
  • Journal Title: Journal of Reliability Engineering Association of Japan Vol.32 Pages: 89-95
  • Peer Reviewed
• [Journal Article] Optimal Allocations of Loadsharing k-out-of-n : F System (2009)
  • Author(s): Yamamoto, W., Jin, L., Suzuki, K.
  • Journal Title: Journal of Statistical Planning and Inference Vol.139 Pages: 1777-1781
  • Peer Reviewed
• [Journal Article] Optimality of k-out-of-n Systems for Condition Monitoring Maintenance Using Dependent Information (2009)
  • Author(s): Jin, L., Horikoshi, Y., Suzuki, K.
  • Journal Title: Quality Technology and Quantitative Management Vol.6 Pages: 23-32
  • Peer Reviewed
• [Presentation] Necessary and Sufficient Condition for Control Limit Policy in Partially Observable Markov Decision Process with Stochastic Increasing (2009)
  • Author(s): Jin, L., Suzuki K.
  • Organizer: Proceedings of the 7th Asian Network for Quality Congress, pp.727-736, Tokyo, Japan.
  • Place of Presentation: 日本・東京 国際会議
  • Year and Date: 2009-09-17
• [Presentation] k-out-of-n型監視方策の最適性 (2008)
  • Author(s): 堀越雄太, Jin, L., 鈴木和幸
  • Organizer: 日本信頼性学会第20回秋季信頼性シンポジウム, pp.91-94.
  • Place of Presentation: 財団法人日本科学技術連盟・千駄ヶ谷本部ビル 国内発表
  • Year and Date: 2008-04-18
• [Presentation] Control Limit Policy for Partially Observable Markov Decision Process (POMDP) Based on Stochastic Increasing (2007)
  • Author(s): Jin, L., Kumagai K, Suzuki K.
  • Organizer: Proceedings of ICRMS2007 : International Conference on Reliability Maintain-ability and Safety, Beijing, pp.87-92, China.
  • Place of Presentation: 中国・北京 国際会議
  • Year and Date: 2007-08-22
• [Presentation] Optimal Design for a Monitoring System Comprising n Dependent and Non identical Sensors (2007)
  • Author(s): Jin, L., Endo, M., Tanaka, K., Suzuki, K.
  • Organizer: Mathematical Methods in Reliability : Methodology and Practice, Glasgow, pp.1-12, U.K.
  • Place of Presentation: イギリス・グラスゴー 国際会議
  • Year and Date: 2007-07-02
• [Presentation] 独立でないモニターを用いたk-out-of-nシステムの最適性 (2007)
  • Author(s): 堀越雄太, 遠藤将則, Jin, L., 鈴木和幸
  • Organizer: 日本信頼性学会第15回春季信頼性シンポジウム, pp.33-36.
  • Place of Presentation: 財団法人日本科学技術連盟・千駄ヶ谷本部ビル 国内発表
  • Year and Date: 2007-06-01
• [Presentation] Sufficient Conditions for Optimal Control Limit Policy with Respect to Stochastic Increasing Ordering (2007)
  • Author(s): Kumagai, K. Jin, L., Suzuki, K.
  • Organizer: 日本品質管理学会第83回研究発表会, 研究発表要旨集,pp.111-114.
  • Place of Presentation: 財団法人日本科学技術連盟・東高円寺ビル 国内発表
  • Year and Date: 2007-05-26
• [Presentation] 独立でないモニターを用いたk-out-of-n論理構成の最適性, (2007)
  • Author(s): 遠藤将則, Jin, L., 鈴木和幸
  • Organizer: 情報システム学研究科シンポジウム第11回「信頼性とシステム安全学」予稿集, pp.25-33.
  • Place of Presentation: 電気通信大学・IS 研究棟 国内発表
  • Year and Date: 2007-02-27