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System reliability analysis of small-cell deployment in heterogeneous cellular networks

Author

Listed:
  • Ali Muhammad Ali Rushdi

    (King Abdulaziz University)

  • Ahmad Kamal Hassan

    (Ghulam Ishaq Khan Institute of Engineering Sciences and Technology)

  • Muhammad Moinuddin

    (King Abdulaziz University
    King Abdulaziz University)

Abstract

This paper exhibits a primer on the use of modern system reliability techniques on several important topologies of small-cell deployment in multi-tier dense cellular networks. We synthesize a network into several subnetworks and use outage probability as a performance metric to formulate the small-cell deployment problem in the Boolean domain by means of an indicator function. The methodology employed herein includes disjointness for logically added expressions, arriving at a probability ready expression, and a transformation to the probability domain on a one-to-one basis by replacing indicator Boolean variables by their expectations and replacing logical operations by their arithmetical counterparts. This work also presents a systematic procedure of computing several reliability metrics such as the useful redundancy region, mean-time-to-failure, importance measures of the links, and quantification of uncertainty in system reliability as a function of uncertainties in link reliabilities by considering both identical and non-identical link failures. Non-linear algorithms are also tested on the optimization problem that minimizes system unreliability. We contribute to the important issue of analyzing small-cell deployment by providing exact system reliability metrics and hence open a new frontier for software defined networks controllers.

Suggested Citation

  • Ali Muhammad Ali Rushdi & Ahmad Kamal Hassan & Muhammad Moinuddin, 2020. "System reliability analysis of small-cell deployment in heterogeneous cellular networks," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 73(3), pages 371-381, March.
    • Handle: RePEc:spr:telsys:v:73:y:2020:i:3:d:10.1007_s11235-019-00615-2
    DOI: 10.1007/s11235-019-00615-2
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    References listed on IDEAS

    as
    1. Rushdi, Ali Muhammad Ali & Hassan, Ahmad Kamal, 2015. "Reliability of migration between habitat patches with heterogeneous ecological corridors," Ecological Modelling, Elsevier, vol. 304(C), pages 1-10.
    2. Ajit Kumar Verma & Srividya Ajit & Durga Rao Karanki, 2016. "Reliability and Safety Engineering," Springer Series in Reliability Engineering, Springer, edition 2, number 978-1-4471-6269-8, December.
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