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시스템 신뢰도 계산을 위한 로드쉐어링 모수 추정에 관한 고찰

Advances in Load-Sharing Parameter Estimation for Reliability Systems

  • 김형태 (우송대학교 엔디컷국제대학 융합경영학부 경영학전공)
  • Hyoungtae Kim (Department of Convergence Management, Woosong University)
  • 투고 : 2024.07.17
  • 심사 : 2024.08.09
  • 발행 : 2024.09.30

초록

This paper chronicles the evolution of load-sharing parameter estimation methodologies, with a particular focus on the significant contributions made by Kim and Kvam (2004) and Park (2012). Kim and Kvam's pioneering work underscored the inherent challenges in deriving closed-form solutions for load-share parameters, which necessitated the use of sophisticated numerical optimization techniques. Park's research, on the other hand, provided groundbreaking closed-form solutions and extended the theoretical framework to accommodate more general distributions of component lifetimes. This was achieved by incorporating EM-type methods for maximum likelihood estimation, which represented a significant advancement in the field. Unlike previous efforts, this paper zeroes in on the specific characteristics and advantages of closed-form solutions for load-share parameters within reliability systems. Much like the basic Economic Order Quantity (EOQ) model enhances the understanding of real-life inventory systems dynamics, our analysis aims to thoroughly explore the conditions under which these closed-form solutions are valid. We investigate their stability, robustness, and applicability to various types of systems. Through this comprehensive study, we aspire to provide a deep understanding of the practical implications and potential benefits of these solutions. Building on previous advancements, our research further examines the robustness of these solutions in diverse reliability contexts, aiming to shed light on their practical relevance and utility in real-world applications.

키워드

과제정보

This study has been partially supported by a Research Fund of Woosong University, Daejeon, South Korea.

참고문헌

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  2. Chen, W. and Hao, S., A Novel Load Allocation Policy for Reliability Improvement of Load-sharing Systems with two Continuously Degrading Components, IEEE 4th International Conference on Computer Engineering and Application (ICCEA), Hangzhou, China, 2023.
  3. Gurov, S.V. and Utkin, L.V., Load-share Reliability Models with Piecewise Constant Load, International Journal of Reliability and Safety, 2012, Vol. 6, No. 4, pp. 338-353.
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  5. Kim, H. and Kvam, P.H., Reliability Estimation Based on System Data with an Unknown Load Share Rule, Lifetime Data Analysis, 2004, Vol. 10, pp. 83-94.
  6. Park, C., Note on the Closed-form MLEs of k-component Load-sharing Systems, Reliability Engineering & System Safety, 2012, Vol. 108, pp. 45-49.
  7. Park, C., Parameter Estimation from Load-sharing System Data using the Expectation-maximization Algorithm, IIE Transactions, 2013, Vol. 45, No. 2, pp. 147-163.
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