Analysis of the Age of Information in a Two-Phase Queuing System

  • Nikolai Yuryevich Gritsenko Peoples’ Friendship University of Russia named after Patrice Lumumba
  • Sergey Ivanovich Matyushenko Peoples’ Friendship University of Russia named after Patrice Lumumba

Abstract

The report examines the problem of analyzing the Peak Age of Information (PAoI) in a two-phase queuing system. At the beginning, definitions for Age of Information (AoI) and Peak Age of Information are given as well as the review of the results obtained from the analysis of these metrics in single-phase queuing systems. After that the AoI in two-phase queuing system with 2 customers is considered. For each scenario of the relative location of customers in the system, a graph of the AoI as a function of time is presented and a formula for calculating the PAoI is obtained. Based on the results obtained for specific scenarios, the formulation of the problem of finding a general formula for calculating the Laplace-Stieltjes transform of the PAoI in a two-phase queuing system is obtained.

Author Biographies

Nikolai Yuryevich Gritsenko, Peoples’ Friendship University of Russia named after Patrice Lumumba

Postgraduate student of the Probability Theory and Cybersecurity Department, Applied Mathematics & Communications Technology Institute

Sergey Ivanovich Matyushenko, Peoples’ Friendship University of Russia named after Patrice Lumumba

Associate Professor of the Probability Theory and Cybersecurity Department, Applied Mathematics & Communications Technology Institute, Cand. Sci. (Phys.-Math.)

Published
2023-12-20
How to Cite
GRITSENKO, Nikolai Yuryevich; MATYUSHENKO, Sergey Ivanovich. Analysis of the Age of Information in a Two-Phase Queuing System. Modern Information Technologies and IT-Education, [S.l.], v. 19, n. 4, dec. 2023. ISSN 2411-1473. Available at: <http://sitito.cs.msu.ru/index.php/SITITO/article/view/1033>. Date accessed: 12 sep. 2025.
Citation Formats
Issue
Vol 19 No 4 (2023): Modern Information Technologies and IT-education
Section
Theoretical Questions of Computer Science, Computer Mathematics
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