Modeling DECT-2020 as a Tandem Queueing System and Its Application to the Peak Age of Information Analysis

The Peak Age of Information (PAoI) quantifies the freshness of updates used in cyber-physical systems (CPSs), realized within the Internet of Things (IoT) paradigm, encompassing devices, networks, and control algorithms. Consequently, PAoI is a critical metric for real-time applications enabled by Ultra-Reliable Low Latency Communication (URLLC). While highly useful for system evaluation, the direct analysis of this metric is complicated by the correlation between the random variables constituting the PAoI. Thus, it is often evaluated using only the mean value rather than the full distribution. Furthermore, since CPS communication technologies like Wi-Fi or DECT-2020 involve multiple processing stages, modeling them as tandem queueing systems is essential for accurate PAoI analysis. In this paper, we develop an analytical model for a DECT-2020 network segment represented as a two-phase tandem queueing system, enabling detailed PAoI analysis via Laplace–Stieltjes transforms (LST). We circumvent the dependence between generation and sojourn times by classifying updates into four mutually exclusive groups. This approach allows us to derive the LST of the PAoI and determine the exact Probability Density Function (PDF) for (Formula presented.) system. We also calculate the mean and variance of the PAoIs and validate our results through numerical experiments. Additionally, we evaluate the impact of different service time distributions on PAoI variability. These findings contribute to the theoretical understanding of PAoI in tandem queueing systems and provide practical insights for optimizing DECT-2020-based communication systems. © 2026 by the authors.

Авторы
Nikolaev Dmitry I. 1 , Zhivtsova Anna A. 1 , Matyushenko S.I. 2 , Gaidamaka Yuliya V. 2, 3 , Koucheryavy Yevgeny A. 1
Журнал
Издательство
MDPI AG
Номер выпуска
1
Язык
Английский
Статус
Опубликовано
Номер
186
Том
14
Год
2026
Организации
  • 1 Telecommunications R&D Institute, HSE University, Moscow, Russian Federation
  • 2 Department of Probability Theory and Cyber Security, RUDN University, Moscow, Moscow Oblast, Russian Federation
  • 3 Federal Research Center Informatics and Management of the Russian Academy of Sciences, Moscow, Moscow Oblast, Russian Federation
Ключевые слова
automatic control; cyber–physical system; DECT-2020; information freshness; Internet of Things; Laplace–Stieltjes transforms; PAoI; peak age of information; probability distribution; queueing theory; tandem queueing system
Цитировать
Поделиться

Другие записи