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Two-interdependent-performance multi-state system: Definitions and reliability evaluation

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  • Shao, Changzheng
  • Ding, Yi

Abstract

Many engineering systems are designed to complete two tasks simultaneously and therefore need to consider two interdependent performance measures. For example, a combined heat and power (CHP) system requires two interdependent performance variables of heat power and electric power to measure its reliability. The operation of such a two-interdependent-performance multi-state system (TIP-MSS) is usually constrained by a two-dimension feasible operating region (FOR) specific to the state. Hence, the performance rate of the TIP-MSS system in each state should be represented by the upper boundary of the FOR corresponding to the concept of “capacity†in the single-performance MSS model. Considering the interdependence between the performance variables, the concept and definitions of the TIP-MSS are proposed. An object, i.e., the performance trade-off curve, is utilized to represent the performance rates. The universal generating function (UGF) method is extended to represent the performance distribution of a TIP-MSS. Moreover, different composition operators are defined for analyzing the reliability of TIP-MSS with parallel/series structures. The availability criterion based on the TIP-UGF method is also proposed. Finally, the proposed models and methods are illustrated by two numerical examples.

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  • Shao, Changzheng & Ding, Yi, 2020. "Two-interdependent-performance multi-state system: Definitions and reliability evaluation," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    • Handle: RePEc:eee:reensy:v:199:y:2020:i:c:s0951832019305071
    DOI: 10.1016/j.ress.2020.106883
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    1. Jin, Xiaolong & Mu, Yunfei & Jia, Hongjie & Wu, Jianzhong & Xu, Xiandong & Yu, Xiaodan, 2016. "Optimal day-ahead scheduling of integrated urban energy systems," Applied Energy, Elsevier, vol. 180(C), pages 1-13.
    2. Li, Yan-Fu & Zio, Enrico, 2012. "A multi-state model for the reliability assessment of a distributed generation system via universal generating function," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 28-36.
    3. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, April.
    4. Zhigang Tian & Wei Li & Ming J. Zuo, 2008. "Modeling and Reliability Evaluation of Multi-state k-out-of-n Systems," Springer Series in Reliability Engineering, in: Hoang Pham (ed.), Recent Advances in Reliability and Quality in Design, chapter 2, pages 31-56, Springer.
    5. Mohamed Sallak & Walter Schön & Felipe Aguirre, 2013. "Reliability assessment for multi-state systems under uncertainties based on the Dempster–Shafer theory," IISE Transactions, Taylor & Francis Journals, vol. 45(9), pages 995-1007.
    6. Eryilmaz, Serkan, 2018. "Reliability analysis of multi-state system with three-state components and its application to wind energy," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 58-63.
    7. Li, Wei & Zuo, Ming J., 2008. "Reliability evaluation of multi-state weighted k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 93(1), pages 160-167.
    8. Wang, Guanjun & Duan, Fengjun & Zhou, Yifan, 2018. "Reliability evaluation of multi-state series systems with performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 173(C), pages 58-63.
    9. Richard E. Barlow & Alexander S. Wu, 1978. "Coherent Systems with Multi-State Components," Mathematics of Operations Research, INFORMS, vol. 3(4), pages 275-281, November.
    10. Liu, Yu & Liu, Qinzhen & Xie, Chaoyang & Wei, Fayuan, 2019. "Reliability assessment for multi-state systems with state transition dependency," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 276-288.
    11. Dariush Khezrimotlagh & Yao Chen, 2018. "The Optimization Approach," International Series in Operations Research & Management Science, in: Decision Making and Performance Evaluation Using Data Envelopment Analysis, chapter 0, pages 107-134, Springer.
    12. Zhou, Yizhou & Wei, Zhinong & Sun, Guoqiang & Cheung, Kwok W. & Zang, Haixiang & Chen, Sheng, 2018. "A robust optimization approach for integrated community energy system in energy and ancillary service markets," Energy, Elsevier, vol. 148(C), pages 1-15.
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