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Consecutively connected systems with unreliable resource generators and storages

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

Abstract

Motivated by real-world applications like wireless sensor networks powered by photovoltaic sources, this paper models a linear consecutively connected system whose nodes form a linear sequence. To provide the connectivity between the first (source) and last (destination) nodes, each non-destination node hosts a connecting element characterized by a different connection range and time-to-failure distribution. To supply resource needed for the connecting element's operation, each node also contains a resource generating subsystem and a storage, which is used for saving surplus resource when productivity of the resource generator exceeds the connecting element's demand and can also supply resource to the connecting element when the resource generator fails or its productivity becomes insufficient to meet the demand. A numerical algorithm is first put forward to evaluate the instantaneous availability of an individual connecting element. A universal generating function-based approach is further proposed to evaluate the instantaneous connectivity of the considered system with unreliable resource generators and storages. The optimal storage allocation problem and impacts of several parameters on the system connectivity and optimal solutions are investigated through a detailed case study of a wireless sensor network with four types of storages, characterized by different time-to-failure distributions, initial and maximum capacities, and maximum uploading and downloading rates.

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  • 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).
  • Handle: RePEc:eee:reensy:v:241:y:2024:i:c:s095183202300594x
    DOI: 10.1016/j.ress.2023.109680
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    References listed on IDEAS

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    1. 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).
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    4. 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.
    5. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2015. "Linear multistate consecutively-connected systems subject to a constrained number of gaps," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 246-252.
    6. Kam, Olle Michel & Noël, Stéphane & Ramenah, Harry & Kasser, Pierre & Tanougast, Camel, 2021. "Comparative Weibull distribution methods for reliable global solar irradiance assessment in France areas," Renewable Energy, Elsevier, vol. 165(P1), pages 194-210.
    7. 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.
    8. Levitin, Gregory, 2003. "Optimal allocation of multi-state elements in linear consecutively connected systems with vulnerable nodes," European Journal of Operational Research, Elsevier, vol. 150(2), pages 406-419, October.
    9. 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.
    10. Xing, Liudong & Levitin, Gregory, 2018. "Connectivity modeling and optimization of linear consecutively connected systems with repairable connecting elements," European Journal of Operational Research, Elsevier, vol. 264(2), pages 732-741.
    11. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, March.
    12. 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).
    13. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Optimal mission aborting in multistate systems with storage," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    14. Rui Peng & Min Xie & Szu Ng & Gregory Levitin, 2012. "Element maintenance and allocation for linear consecutively connected systems," IISE Transactions, Taylor & Francis Journals, vol. 44(11), pages 964-973.
    15. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Unrepairable system with single production unit and n failure-prone identical parallel storage units," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    16. Cheng, Chen & Yang, Jun & Li, Lei, 2020. "Reliability assessment of multi-state phased mission systems with common bus performance sharing considering transmission loss and performance storage," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    17. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Unrepairable system with consecutively used imperfect storage units," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    18. Levitin, Gregory & Xing, Liudong & Yu, Shengji, 2014. "Optimal connecting elements allocation in linear consecutively-connected systems with phased mission and common cause failures," Reliability Engineering and System Safety, Elsevier, vol. 130(C), pages 85-94.
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    2. Gao, Hongda & Tu, Tengfei & Qiu, Qingan, 2024. "Reliability analysis for a generalized sparse connection multi-state consecutive-k-out-of-n linear system," Reliability Engineering and System Safety, Elsevier, vol. 246(C).

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