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Optimal arrangement of connecting elements in linear consecutively connected systems with heterogeneous warm standby groups

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  • Levitin, Gregory
  • Xing, Liudong
  • Dai, Yuanshun

Abstract

Motivated by practical applications such as radio communication and flow transmission systems, this paper models and optimizes linear consecutively connected systems (LCCS) with a set of linearly ordered nodes. Each node may contain multiple connection elements (CE) configured as a warm standby structure, where one CE is online providing a connection between its host node and a certain number of next nodes along the sequence, with the remaining CEs serving as standbys. CEs have heterogeneous types characterized by different time-to-failure distributions and connection ranges. An iterative algorithm is first proposed for determining performance stochastic processes of particular CE standby groups. A universal generating function technique is then used for evaluating instantaneous and expected system connectivity for the considered LCCS. An optimization problem of CE distribution and sequencing is further defined and solved, with the objective of finding CE distribution among LCCS nodes and sequencing of CE activation in standby groups to maximize the expected system connectivity over a specified mission time horizon. Optimization results are useful in guiding optimal decisions on reliable design and operation of LCCSs. Examples are provided to demonstrate application of the proposed methodology and optimization problem.

Suggested Citation

  • Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2017. "Optimal arrangement of connecting elements in linear consecutively connected systems with heterogeneous warm standby groups," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 395-401.
    • Handle: RePEc:eee:reensy:v:165:y:2017:i:c:p:395-401
    DOI: 10.1016/j.ress.2017.05.007
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    References listed on IDEAS

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    Cited by:

    1. Hui Xiao & Minhao Cao & Gang Kou & Xiaojun Yuan, 2021. "Optimal element allocation and sequencing of multi-state series systems with two levels of performance sharing," Journal of Risk and Reliability, , vol. 235(2), pages 282-292, April.
    2. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2024. "Consecutively connected systems with unreliable resource generators and storages," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    3. Bingyin Lei & Yue Ren & Ziyang Wang & Xinquan Ge & Xiaolin Li & Kaiye Gao, 2023. "The Optimization of Working Time for a Consecutively Connected Production Line," Mathematics, MDPI, vol. 11(2), pages 1-12, January.
    4. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Heterogeneous 1-out-of-n standby systems with limited unit operation time," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    5. Eryilmaz, Serkan, 2020. "Age-based preventive maintenance for coherent systems with applications to consecutive-k-out-of-n and related systems," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    6. Jia, Heping & Peng, Rui & Yang, Li & Wu, Tianyi & Liu, Dunnan & Li, Yanbin, 2022. "Reliability evaluation of demand-based warm standby systems with capacity storage," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    7. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Optimal sequencing of elements activation in 1-out-of-n warm standby system with storage," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    8. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2018. "Connectivity evaluation and optimal service centers allocation in repairable linear consecutively connected systems," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 187-193.
    9. Xiao, Hui & Lin, Chen & Kou, Gang & Peng, Rui, 2022. "Reliability modeling and configuration optimization of a photovoltaic based electric power generation system," Reliability Engineering and System Safety, Elsevier, vol. 220(C).

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