Informatics and Applications

2026, Volume 20, Issue 1, pp 45-54

MATHEMATICAL MODEL FOR THE ANALYSIS OF THE DATA TRANSMISSION PHASE IN INTERNET-OF-THINGS SYSTEMS

  • A. V. Daraseliya
  • K. A. Levkovich
  • E. S. Sopin
  • S. Prakash
  • V. O. Begishev

Abstract

The paper develops a mathematical model for a massive machine-type communication (mMTC) system on Cellular Internet-of-Things (CIoT) designed for phase analysis of data transmission. The random access phase is treated as an input traffic generation mechanism and is not the subject of the detailed study. Instead, the focus is on the uplink and downlink traffic service processes accounting for limited frequency and time resources. The model observes asynchronous packet generation by loT devices as well as the emergence of new traffic in the form of group software updates. A Markov model with field-based tools is used for analysis allowing for the capture of stationary system characteristics. Analytical expressions are provided for the average number of packets, mean transmission delay, and resource utilization. Numerical results demonstrate that static resource allocation between transmission phases significantly limits system efficiency. These findings justify the necessity for adaptive resource management in 5G/6G CIoT networks.

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