Research Article Open Access

RK4 Differential Equation to improve QoS in an eUTRAN LTE Network: A Deterministic vs. Stochastic Approach

Brou Pacôme1, Pandry Ghislain1, Bodjré Aka Hugues Félix1 and Oumtanaga Souleymane2
  • 1 Laboratoire des Sciences, des Technologies de l'information et de la Communication (LASTIC), Ecole Supérieure Africaine des Technologie de l'Information et de la Communication (ESATIC), Abidjan, Cote D'Ivoire
  • 2 UMRI Mathématique et Sciences du Numérique (MSN), Ecole Doctorale Polytechnique, Institut National PolytechniqueHouphouët Boigny (INPHB), Yamoussoukro, Cote D'Ivoire

Abstract

Improving Quality of Service (QoS) in an eUTRAN LTE network is essential to guarantee optimal performance in the face of dynamic variations in user traffic and radio channel interference. In this context, this paper explores the use of 4th-order Runge-Kutta differential equations (RK4) to model and optimize radio resource management, by comparing a deterministic approach, which assumes stable and predictable traffic, with a stochastic approach, which incorporates random network fluctuations. The central problem lies in the difficulty of anticipating and effectively managing network congestion, affecting resource allocation, bandwidth and transmission delay. Through a 24 h simulation, the results show that the deterministic approach predicts a resource allocation of up to 90% at peak times, a bandwidth occupancy of 80 Mbps and a maximum latency of 120ms, offering stable but limited management in the face of unforeseen events. In contrast, the stochastic approach reveals fluctuations of ±5% in resource allocation, variations of ±10 Mbps in bandwidth and a transmission delay of up to 130-140 ms, reflecting a better representation of real network conditions. These results demonstrate that the deterministic approach offers a predictable view of the network, while the stochastic approach enables better dynamic adaptation, essential for anticipating congestion and adjusting resources in real time.

Journal of Mathematics and Statistics
Volume 21 No. 1, 2025, 8-14

DOI: https://doi.org/10.3844/jmssp.2025.8.14

Submitted On: 21 February 2025 Published On: 3 July 2025

How to Cite: Pacôme, B., Ghislain, P., Félix, B. A. H. & Souleymane, O. (2025). RK4 Differential Equation to improve QoS in an eUTRAN LTE Network: A Deterministic vs. Stochastic Approach. Journal of Mathematics and Statistics, 21(1), 8-14. https://doi.org/10.3844/jmssp.2025.8.14

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Keywords

  • 4G/LTE
  • Quality of Service (QoS)
  • RK4 Differential Equations
  • Deterministic vs. Stochastic Approach
  • LTE Network Congestion
  • Predictive Optimization