Mathematics (Jan 2025)

Directional Handover Analysis with Stochastic Petri Net and Poisson Point Process in Heterogeneous Networks

  • Zhiyi Zhu,
  • Junjun Zheng,
  • Eiji Takimoto,
  • Patrick Finnerty,
  • Chikara Ohta

DOI
https://doi.org/10.3390/math13030349
Journal volume & issue
Vol. 13, no. 3
p. 349

Abstract

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Handover is crucial for ensuring seamless connectivity in heterogeneous networks (HetNet) by enabling user equipment (UE) to switch its connection link between cells based on signal conditions. However, conventional analytical approaches ignored the distinctions between macro-cell to small-cell (M2S) and small-cell to macro-cell (S2M) scenarios during a handover decision-making process, which resulted in handover failures (HoF) or ping-pong handovers. Therefore, this paper proposes a novel framework, Do-SPN-PPP, that combines stochastic Petri net (SPN) and the Poisson point process (PPP) to quantitatively analyze M2S and S2M handover performance differences. The proposed framework also reveals and predicts how handover parameters affect UE residence time in a cell within the HetNet, and it exhibits a higher predictive accuracy compared with the traditional conventional analytical approach. In addition, the Monte Carlo simulation verified the Do-SPN-PPP framework, and the proposed framework exhibits a 96% reduction in computation time while maintaining a 95% confidence interval and 0.5% error tolerance compared with the simulation.

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