Journal of the Korea Safety Management & Science (대한안전경영과학회지)

Korea Safety Management & Science (대한안전경영과학회)
권호 표지
DOI QR코드

DOI QR Code

Development and Implementation of Measures for Structural and Reliability Importance by Using Minimal Cut Sets and Minimal Path Sets

최소절단집합과 최소경로집합을 이용한 구조 및 신뢰성 중요도 척도의 개발 및 적용

  • 최성운 (가천대학교 산업공학과)
  • Received : 2011.07.08
  • Accepted : 2012.03.08
  • Published : 2012.03.31
Download PDF
⟨ Previous Next ⟩

Abstract

The research discusses interrelationship of structural and reliability importance measures which used in the probabilistic safety assessment. The most frequently used component importance measures, such as Birnbaum's Importance (BI), Risk Reduction (RR), Risk Reduction Worth (RRW), RA (Risk Achievement), Risk Achievement Worth (RAW), Fussel Vesely (FV) and Critically Importance (CI) can be derived from two structure importance measures that are developed based on the size and the number of Minimal Path Set (MPS) and Minimal Cut Set (MCS). In order to show an effectiveness of importance measures which is developed in this paper, the three representative functional structures, such as series-parallel, k out of n and bridge are used to compare with Birnbaum's Importance measure. In addition, the study presents the implementation examples of Total Productive Maintenance (TPM) metrics and alternating renewal process models with exponential distribution to calculate the availability and unavailability of component facility for improving system performances. System state structure functions in terms of component states can be converted into the system availability (unavailability) functions by substituting the component reliabilities (unavailabilities) for the component states. The applicable examples are presented in order to help the understanding of practitioners.

Keywords

References

  1. 일본 플랜트 메이티넌스 협회, 생산혁신을 위한 신 TPM 전개 프로그램 : 가공조립, 한국표준협회, 2009.
  2. 일본 플랜트 메이티넌스 협회, 생산혁신을 위한 신 TPM 전개 프로그램 : 장치공업, 한국표준협회, 2009.
  3. 임태진, 시스템 신뢰도 공학, 숭실대학교 출판부, 2004.
  4. 최성운, RBD와 FTA의 논리구조와 신뢰성 중요도에 의한 시스템 비시간가동률 개선방안, 대한안전경영과학회지, 13(3)(2011) : 45-53.
  5. Amstrong M.J., "Joint Reliability-Importance of Components", IEEE Transactions on Reliability, 44(3)(1995) : 408-412. https://doi.org/10.1109/24.406574
  6. Aven T., "Reliability/Availability Evaluations of Coherent Systems Based on Minimal Cut Sets", Reliability Engineering, 13(1985) : 93-104. https://doi.org/10.1016/0143-8174(85)90064-2
  7. Barlow R.E., Proschan F., Statistical Theory of Reliability and Life Testing : Probability Models, Rinehart and Winston, 1975.
  8. Boland P.J., Neweigh E., "Measures of Component Importance in Reliability Theory", Computer and Operations Research, 22(1995) : 455-463. https://doi.org/10.1016/0305-0548(94)00053-B
  9. Borst M., Schoonakker, "An Overview of PSA Importance Measures", Reliability Engineering and System Safety, 72(2001) : 241-245. https://doi.org/10.1016/S0951-8320(01)00007-2
  10. Cassady C.R., Pohl E.A., Jin S., "Managing Availability Improvement Efforts with Importance Measures and Optimization", IMA Journal of Management Mathematics, 15(2004) : 161-174. https://doi.org/10.1093/imaman/15.2.161
  11. Miman M., Pohl E.A., "Uncertainty Assessment for Availability : Importance Measures", Reliability and Maintaintability Sympsium(RAMS), (2006): 222-227.
  12. Nakashima K., Yamato K., "Variance-Importance of System Components", IEEE Transactions on Reliability, 31(1)(1982) : 99-100.
  13. Pan Z., Tai Y., "Variance Importance of System Components by Monte Carlo", IEEE Transactions on Reliability, 37(4)(1998) : 421-423.
  14. Vesely Wo, Belhadj M., Rezos J.T., "PRA Importance Measures for Maintenance Prioritization Applications", Reliability Engineering and System Safety, 43(1994) : 307-318. https://doi.org/10.1016/0951-8320(94)90035-3