IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v221y2022ics0951832021007560.html
   My bibliography  Save this article

Reliability analysis of load-sharing systems with spatial dependence and proximity effects

Author

Listed:
  • Brown, Bodunrin
  • Liu, Bin
  • McIntyre, Stuart
  • Revie, Matthew

Abstract

In the operating process of multi-component systems, components may interact with each other in a way that the load of a failed component is taken up by its nearby components at varying proportions. As a result, the failure rates of the proximate components are accelerated while distant components are not affected. This paper develops a novel spatial model for estimating the reliability of a load-sharing system considering spatial dependence and proximity effects. The spatial model is applicable to systems with heterogeneous or homogeneous components and is suitable for systems with or without distance information. To investigate the importance and significance of the spatial effect, we compare our spatial model with an equal load-sharing through numerical examples. Our results demonstrate that our model is more accurate than standard load sharing models in evaluating system reliability when spatial effects exist.

Suggested Citation

  • Brown, Bodunrin & Liu, Bin & McIntyre, Stuart & Revie, Matthew, 2022. "Reliability analysis of load-sharing systems with spatial dependence and proximity effects," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
  • Handle: RePEc:eee:reensy:v:221:y:2022:i:c:s0951832021007560
    DOI: 10.1016/j.ress.2021.108284
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832021007560
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ress.2021.108284?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Yanguang Chen, 2012. "On the four types of weight functions for spatial contiguity matrix," Letters in Spatial and Resource Sciences, Springer, vol. 5(2), pages 65-72, July.
    2. Liying Wang & Qing Yang & Yuran Tian, 2017. "Reliability Analysis of 6-Component Star Markov Repairable System with Spatial Dependence," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-7, February.
    3. Franco, Manuel & Vivo, Juana-Maria & Kundu, Debasis, 2020. "A generalized Freund bivariate model for a two-component load sharing system," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    4. G. Asha & A. Vincent Raja & Nalini Ravishanker, 2018. "Reliability modelling incorporating load share and frailty," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 34(2), pages 206-223, March.
    5. Xiao, Hui & Shi, Daimin & Ding, Yi & Peng, Rui, 2016. "Optimal loading and protection of multi-state systems considering performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 88-95.
    6. Paul H. Kvam & Edsel A. Pena, 2005. "Estimating Load-Sharing Properties in a Dynamic Reliability System," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 262-272, March.
    7. Zhang, Nan & Fouladirad, Mitra & Barros, Anne, 2017. "Maintenance analysis of a two-component load-sharing system," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 67-74.
    8. Singh, Bhupendra & Gupta, Puneet Kumar, 2012. "Load-sharing system model and its application to the real data set," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(9), pages 1615-1629.
    9. Zhang, Jianchun & Zhao, Yu & Ma, Xiaobing, 2020. "Reliability modeling methods for load-sharing k-out-of-n system subject to discrete external load," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    10. Bin Liu & Min Xie & Way Kuo, 2016. "Reliability modeling and preventive maintenance of load-sharing systemswith degrading components," IISE Transactions, Taylor & Francis Journals, vol. 48(8), pages 699-709, August.
    11. de Paula, Cassio Pereira & Visnadi, Lais Bittencourt & de Castro, Helio Fiori, 2019. "Multi-objective optimization in redundant system considering load sharing," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 17-27.
    12. Zhang, Jianchun & Zhao, Yu & Ma, Xiaobing, 2019. "A new reliability analysis method for load-sharing k-out-of-n: F system based on load-strength model," Reliability Engineering and System Safety, Elsevier, vol. 182(C), pages 152-165.
    13. Madhu Jain & Ritu Gupta, 2012. "Load sharing M-out of-N: G system with non-identical components subject to common cause failure," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 4(5), pages 586-605.
    14. Chanseok Park, 2010. "Parameter estimation for the reliability of load-sharing systems," IISE Transactions, Taylor & Francis Journals, vol. 42(10), pages 753-765.
    15. Dewei Wang & Chendi Jiang & Chanseok Park, 2019. "Reliability analysis of load-sharing systems with memory," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 25(2), pages 341-360, April.
    16. Singh, Bhupendra & Sharma, K.K. & Kumar, Anuj, 2008. "A classical and Bayesian estimation of a k-components load-sharing parallel system," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5175-5185, August.
    17. Sharifi, Mani & Taghipour, Sharareh & Abhari, Abdolreza, 2021. "Inspection interval optimization for a k-out-of-n load sharing system under a hybrid mixed redundancy strategy," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhao, Xian & Li, Ziyue & Wang, Xiaoyue & Guo, Bin, 2023. "Reliability of performance-based system containing multiple load-sharing subsystems with protective devices considering protection randomness," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    2. Qin, Shuidan & Wang, Bing Xing & Tsai, Tzong-Ru & Wang, Xiaofei, 2023. "The prediction of remaining useful lifetime for the Weibull k-out-of-n load-sharing system," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    3. Wu, Congshan & Zhao, Xian & Wang, Siqi & Song, Yanbo, 2022. "Reliability analysis of consecutive-k-out-of-r-from-n subsystems: F balanced systems with load sharing," Reliability Engineering and System Safety, Elsevier, vol. 228(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Franco, Manuel & Vivo, Juana-Maria & Kundu, Debasis, 2020. "A generalized Freund bivariate model for a two-component load sharing system," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    2. Qin, Shuidan & Wang, Bing Xing & Tsai, Tzong-Ru & Wang, Xiaofei, 2023. "The prediction of remaining useful lifetime for the Weibull k-out-of-n load-sharing system," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    3. Pramendra Singh Pundir & Puneet Kumar Gupta, 2018. "Reliability Estimation in Load-Sharing System Model with Application to Real Data," Annals of Data Science, Springer, vol. 5(1), pages 69-91, March.
    4. Nezakati, Ensiyeh & Razmkhah, Mostafa, 2020. "Reliability analysis of a load sharing k-out-of-n:F degradation system with dependent competing failures," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    5. Neha Choudhary & Abhishek Tyagi & Bhupendra Singh, 2022. "Analysing Load-Sharing System Model with Type-I and Type-II Failure Censored Data from Weibull Distribution," Annals of Data Science, Springer, vol. 9(4), pages 645-674, August.
    6. Azeem Ali & Sanku Dey & Haseeb Ur Rehman & Zeeshan Ali, 2019. "On Bayesian reliability estimation of a 1-out-of-k load sharing system model of modified Burr-III distribution," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(5), pages 1052-1081, October.
    7. Zhang, Nan & Fouladirad, Mitra & Barros, Anne, 2017. "Maintenance analysis of a two-component load-sharing system," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 67-74.
    8. Zhang, Jianchun & Zhao, Yu & Ma, Xiaobing, 2019. "A new reliability analysis method for load-sharing k-out-of-n: F system based on load-strength model," Reliability Engineering and System Safety, Elsevier, vol. 182(C), pages 152-165.
    9. Zhengcheng Zhang & Yonghong Yang & Danqing Li, 2022. "Estimation of parameters for load-sharing parallel systems under exponential Pareto distribution," Journal of Risk and Reliability, , vol. 236(2), pages 248-255, April.
    10. Levitin, Gregory & Xing, Liudong & Ben-Haim, Hanoch & Dai, Yuanshun, 2016. "Optimal task partition and state-dependent loading in heterogeneous two-element work sharing system," Reliability Engineering and System Safety, Elsevier, vol. 156(C), pages 97-108.
    11. Che, Haiyang & Zeng, Shengkui & Li, Kehui & Guo, Jianbin, 2022. "Reliability analysis of load-sharing man-machine systems subject to machine degradation, human errors, and random shocks," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    12. Zhang, Jianchun & Zhao, Yu & Ma, Xiaobing, 2020. "Reliability modeling methods for load-sharing k-out-of-n system subject to discrete external load," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    13. Dewei Wang & Chendi Jiang & Chanseok Park, 2019. "Reliability analysis of load-sharing systems with memory," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 25(2), pages 341-360, April.
    14. Singh, Bhupendra & Gupta, Puneet Kumar, 2012. "Load-sharing system model and its application to the real data set," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(9), pages 1615-1629.
    15. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2018. "Optimal work distribution and backup frequency for two non-identical work sharing elements," Reliability Engineering and System Safety, Elsevier, vol. 170(C), pages 127-136.
    16. de Paula, Cassio Pereira & Visnadi, Lais Bittencourt & de Castro, Helio Fiori, 2019. "Multi-objective optimization in redundant system considering load sharing," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 17-27.
    17. Sharifi, Mani & Taghipour, Sharareh, 2024. "Redundancy allocation problem with a mix of components for a multi-state system and continuous performance level components," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    18. Cheng, Chen & Yang, Jun & Li, Lei, 2021. "Reliability evaluation of a k-out-of-n(G)-subsystem based multi-state phased mission system with common bus performance sharing subjected to common cause failures," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    19. Zaretalab, Arash & Sharifi, Mani & Guilani, Pedram Pourkarim & Taghipour, Sharareh & Niaki, Seyed Taghi Akhavan, 2022. "A multi-objective model for optimizing the redundancy allocation, component supplier selection, and reliable activities for multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    20. Damircheli, Mahrad & Fakoor, Mahdi & Yadegari, Hamed, 2020. "Failure assessment logic model (FALM): A new approach for reliability analysis of satellite attitude control subsystem," Reliability Engineering and System Safety, Elsevier, vol. 198(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:reensy:v:221:y:2022:i:c:s0951832021007560. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.