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Reliability of linear multistate multiple sliding window systems

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  • Gregory Levitin

Abstract

This paper proposes a new model that generalizes the linear consecutive k‐out‐of‐r‐from‐n:F system to multistate case with multiple failure criteria. In this model (named linear multistate multiple sliding window system) the system consists of n linearly ordered multistate elements (MEs). Each ME can have different states: from complete failure up to perfect functioning. A performance rate is associated with each state. Several functions are defined for a set of integer numbers ρ in such a way that for each r ∈ ρ corresponding function fr produces negative values if the combination of performance rates of r consecutive MEs corresponds to the unacceptable state of the system. The system fails if at least one of functions fr for any r consecutive MEs for r ∈ ρ produces a negative value. An algorithm for system reliability evaluation is suggested which is based on an extended universal moment generating function. Examples of system reliability evaluation are presented. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.

Suggested Citation

  • Gregory Levitin, 2005. "Reliability of linear multistate multiple sliding window systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(3), pages 212-223, April.
    • Handle: RePEc:wly:navres:v:52:y:2005:i:3:p:212-223
    DOI: 10.1002/nav.20063
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    References listed on IDEAS

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    1. Levitin, Gregory, 2002. "Evaluating correct classification probability for weighted voting classifiers with plurality voting," European Journal of Operational Research, Elsevier, vol. 141(3), pages 596-607, September.
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    Cited by:

    1. Levitin, Gregory & Xing, Liudong & Xiang, Yanping & Dai, Yuanshun, 2021. "Mixed failure-driven and shock-driven mission aborts in heterogeneous systems with arbitrary structure," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    2. Aayushi Chachra & Mangey Ram & Akshay Kumar, 2024. "Fuzzy reliability framework under hesitant and dual hesitant fuzzy sets to air conditioning system," OPSEARCH, Springer;Operational Research Society of India, vol. 61(2), pages 603-627, June.
    3. Wu, Congshan & Pan, Rong & Zhao, Xian & Wang, Xiaoyue, 2024. "Designing preventive maintenance for multi-state systems with performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    4. Wang, Wei & Fu, Yongnian & Si, Peng & Lin, Mingqiang, 2020. "Reliability analysis of circular multi-state sliding window system with sequential demands," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    5. Wang, Wei & Fang, Chao & Liu, Shan & Xiang, Yisha, 2021. "Reliability analysis and optimization of multi-state sliding window system with sequential demands and time constraints," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    6. Wang, Wei & Fang, Chao & Wang, Yan & Li, Jin, 2022. "Reliability Modeling and Optimization of Circular Multi-State Sliding Time Window System with Sequential Demands," Reliability Engineering and System Safety, Elsevier, vol. 225(C).

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