User-Number Threshold-Based Base Station On/Off Control for Maximizing Coverage Probability

Jung Hoon Noh, Byungju Lee, Seong Jun Oh

Research output: Contribution to journalArticlepeer-review


In this study, we investigate the operation of a user-number threshold-based base station (BS) on/off control, in which the BS turns off when the number of users is less than a specific threshold value. This paper presents a space-based analysis of the BS on/off control system to which a stochastic geometric approach is applied. In particular, we derive the approximated closed-form expression of the coverage probability of a homogeneous network (HomNet) with the user-number threshold-based BS on/off control. Moreover, the optimal user-number threshold for maximizing coverage probability is analytically derived. In addition to HomNet, we also derive the approximated closed-form expression of the coverage probability and the optimal user-number thresholds for a heterogeneous network (HetNet). The results show that HetNet, the analysis of which seems intractable, can be analyzed in the form of a linear combination of HomNets with weighted densities. In addition, the optimal user-number threshold of each tier is obtained independently from other tiers. The modeling and analysis presented in this paper are not only limited to the case of user-number threshold-based on/off control, but also applicable to other novel on/off controls with minor modifications. Finally, by comparing the analytical results with the simulated results, the theoretical contributions of this study are validated.

Original languageEnglish
Pages (from-to)3214-3228
Number of pages15
JournalIEEE Transactions on Vehicular Technology
Issue number3
Publication statusPublished - 2022 Mar 1

Bibliographical note

Funding Information:
This work was supported in part by the MSIT Ministry of Science and ICT), Korea under the Grand Information Technology Research Center support Program under Grant IITP-2022-2020-0-01612 supervised by the IITP (Institute for Information and Communications Technology Planning and Evaluation) and in part by the National Research Foundation of Korea (NRF) funded by the Korea Government(MSIT) under Grant NRF-2021R1G1A1094358.

Publisher Copyright:
© 1967-2012 IEEE.


  • Coverage probability
  • HetNet
  • on/off control
  • point poisson process
  • user-number threshold

ASJC Scopus subject areas

  • Automotive Engineering
  • Aerospace Engineering
  • Electrical and Electronic Engineering
  • Applied Mathematics


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