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Analysis of Network Reliability Characteristics and Importance of Components in a Communication Network

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  • Soni Bisht

    (Department of Mathematics, Eternal University, Baru Sahib, Himachal Pradesh 173001, India)

  • Akshay Kumar

    (Department of Mathematics, Graphic Era Hill University, Dehradun 248002, India)

  • Nupur Goyal

    (Department of Mathematics, Graphic Era Deemed to be University, Dehradun 248002, India)

  • Mangey Ram

    (Department of Mathematics, Computer Science and Engineering, Graphic Era Deemed to Be University, Dehradun 248002, India
    Institute of Advanced Manufacturing Technologies, Peter the Great St. Petersburg Polytechnic University, 195251 Saint Petersburg, Russia)

  • Yury Klochkov

    (Academic Development Management, Peter the Great St. Petersburg Polytechnic University, 195251 Saint Petersburg, Russia)

Abstract

Network reliability is one of the most important concepts in this modern era. Reliability characteristics, component significance measures, such as the Birnbaum importance measure, critical importance measure, the risk growth factor and average risk growth factor, and network reliability stability of the communication network system have been discussed in this paper to identify the critical components in the network, and also to quantify the impact of component failures. The study also proposes an efficient algorithm to compute the reliability indices of the network. The authors explore how the universal generating function can work to solve the problems related to the network using the exponentially distributed failure rate. To illustrate the proposed algorithm, a numerical example has been taken.

Suggested Citation

  • Soni Bisht & Akshay Kumar & Nupur Goyal & Mangey Ram & Yury Klochkov, 2021. "Analysis of Network Reliability Characteristics and Importance of Components in a Communication Network," Mathematics, MDPI, vol. 9(12), pages 1-13, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1347-:d:573139
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    References listed on IDEAS

    as
    1. Zhu, Xiaoyan & Fu, Yuqiang & Yuan, Tao & Wu, Xinying, 2017. "Birnbaum importance based heuristics for multi-type component assignment problems," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 209-221.
    2. Huang, Ding-Hsiang & Huang, Cheng-Fu & Lin, Yi-Kuei, 2020. "Exact project reliability for a multi-state project network subject to time and budget constraints," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    3. Li He & Qiyan Cao & Fengjun Shang, 2019. "Measuring Component Importance for Network System Using Cellular Automata," Complexity, Hindawi, vol. 2019, pages 1-11, May.
    4. Hsun-Wen Chang & R.J. Chen & F.K. Hwang, 2002. "The Structural Birnbaum Importance of Consecutive-k Systems," Journal of Combinatorial Optimization, Springer, vol. 6(2), pages 183-197, June.
    5. Mangey Ram & Monika Manglik, 2016. "Reliability Measures Analysis of an Industrial System under Standby Modes and Catastrophic Failure," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 7(3), pages 36-56, July.
    6. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, June.
    7. Negi, Seema & Singh, S.B., 2015. "Reliability analysis of non-repairable complex system with weighted subsystems connected in series," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 79-89.
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    Cited by:

    1. Jiangbin Zhao & Mengtao Liang & Rongyu Tian & Zaoyan Zhang & Xiangang Cao, 2023. "Reliability Optimization of Hybrid Systems Driven by Constraint Importance Measure Considering Different Cost Functions," Mathematics, MDPI, vol. 11(20), pages 1-21, October.
    2. Hongyan Dui & Yuheng Yang & Yun-an Zhang & Yawen Zhu, 2022. "Recovery Analysis and Maintenance Priority of Metro Networks Based on Importance Measure," Mathematics, MDPI, vol. 10(21), pages 1-20, October.

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