Abstract
We study the problem of data transmission from mobile platforms operating in high-speed transit between cellular base stations, under conditions of unstable and intermittent connectivity. Conventional queueing and connectivity models often fail to capture the combined effects of rapidly changing signal conditions, finite buffer capacity, and dynamic topology. We aim to develop a tractable yet expressive model that integrates stochastic link availability, queue dynamics, and buffer control. We propose a mathematical framework based on queues whose service intensities are modulated by a continuous-time Markov chain (CTMC) representing signal conditions along a high-speed trajectory. The core subsystem is a two-stage (aggregation $\to$ transmission) tandem queue in which transmission can be slowed down (weak coverage) or fully interrupted (outage). We construct a three-zone coverage CTMC calibrated to the \emph{geometric mean} residence times, and obtain a stability condition $\lambda
Recommended Citation
Esin, Anton A. and Kalimulina, Elmira Yu.
(2026)
"Markov-modulated queueing network for mobile traffic aggregation with threshold-controlled buffers,"
Mathematical Modelling and Numerical Simulation with Applications: Vol. 6:
Iss.
1, Article 4.
DOI: https://doi.org/10.53391/2791-8564.1019
Available at:
https://mmnsa.researchcommons.org/journal/vol6/iss1/4
Included in
Dynamic Systems Commons, Navigation, Guidance, Control, and Dynamics Commons, Statistical, Nonlinear, and Soft Matter Physics Commons