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Reliability Assessment of Bridge Structure Using Bilal Distribution

Author

Listed:
  • Ahmed T. Ramadan

    (Department of Basic Sciences, Raya Higher Institute, New Damietta 34511, Damietta, Egypt)

  • Osama Abdulaziz Alamri

    (Department of Statistics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia)

  • Ahlam H. Tolba

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

Abstract

Reliability assessments are pivotal in evaluating system quality and have found extensive application in manufacturing. This research delves into a system comprising five components, one of which is a bridge network. The components are presumed to follow a Bilal lifetime distribution with a failure rate that changes over time. Four distinct methods are employed to enhance the components within the system. This study involves the computation of δ -fractiles and reliability equivalence factors (REFs). Additionally, a numerical case study is provided to elucidate the theoretical findings.

Suggested Citation

  • Ahmed T. Ramadan & Osama Abdulaziz Alamri & Ahlam H. Tolba, 2024. "Reliability Assessment of Bridge Structure Using Bilal Distribution," Mathematics, MDPI, vol. 12(10), pages 1-18, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:10:p:1587-:d:1397588
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    References listed on IDEAS

    as
    1. Xia, Tangbin & Si, Guojin & Shi, Guo & Zhang, Kaigan & Xi, Lifeng, 2022. "Optimal selective maintenance scheduling for series–parallel systems based on energy efficiency optimization," Applied Energy, Elsevier, vol. 314(C).
    2. Xu, Zhaoyi & Saleh, Joseph Homer, 2021. "Machine learning for reliability engineering and safety applications: Review of current status and future opportunities," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
    3. Zafar Mahmood & Taghreed M Jawa & Neveen Sayed-Ahmed & E M Khalil & Abdisalam Hassan Muse & Ahlam H. Tolba & Dost Muhammad Khan, 2022. "An Extended Cosine Generalized Family of Distributions for Reliability Modeling: Characteristics and Applications with Simulation Study," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-20, February.
    4. Sarhan, Ammar M., 2009. "Reliability equivalence factors of a general series–parallel system," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 229-236.
    Full references (including those not matched with items on IDEAS)

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