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April 15, 2026Mathematical Modelling and Numerical Simulation with Applications0 citations

Markov-modulated queueing network for mobile traffic aggregation with threshold-controlled buffers

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AEAnton A. EsinInstitute for Information Transmission ProblemsEKElmira Yu. KalimulinaLomonosov Moscow State University

Key Points

  • The study aims to create a model that effectively captures the relationship between mobile data transmission, variable connectivity, and buffering.
  • Developed a mathematical framework integrating stochastic link availability and queue dynamics
  • Utilized a continuous-time Markov chain to represent varying signal conditions
  • Constructed a two-stage tandem queue focusing on aggregation and transmission
  • Established a three-zone coverage model linked to geometric mean residence times
  • Identified conditions under which system stability is maintained amidst changing connectivity

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 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 geometric mean residence times, and obtain a stability condition

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Cite This Study

Esin et al. (2026) studied this question.

synapsesocial.com/papers/69df2c01e4eeef8a2a6b0f2fhttps://doi.org/10.53391/2791-8564.1019
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