Laplace -- stieltjes transform of the peak age of information for the case when packet transmission is modeled by a ph|ph|1|r queueing system with fcfs discipline
- Authors: Matyushenko S.I.1, Samouylov K.E.2,3
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Affiliations:
- Peoples’ Friendship University of Russia (RUDN University)
- Peoples’ Friendship University of Russia (RUDN University), Moscow
- Federal Research Center “Computer Science and Control” of the RAS
- Issue: No 106 (2023)
- Pages: 300-313
- Section: Control of technological systems and processes
- URL: https://medbiosci.ru/1819-2440/article/view/364087
- DOI: https://doi.org/10.25728/ubs.2023.106.11
- ID: 364087
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Abstract
This work is devoted to the analysis of Peak Age of Information (PAoI) -- the metric used in 5G mobile cellular communications for remote groups monitoring and mamgement at the control center. Currently, in the operation of the queuing system PH|PH|1|r, the Laplace -- Stieltjes transform of the PAoI has been obtained. The PAoI presents the time between the generation of updates at the source and the delay in their delivery across the network and assumes that only timely received updates can reflect the current state of the system. When analyzing technical information transmission systems, it should be taken into account that the PAoI metric is significantly different from the delay measured at the time instants when the packet reaches its destination. The new PAoI metric is defined for an alternative time, that complicates its analysis. To check the correctness of the analytical results, they were compared with special cases of the queueing system M|M|1|1, as well as with the results of a simulation analysis of the queueing system with distributed cases of phase type.
Keywords
About the authors
Sergey Ivanovich Matyushenko
Peoples’ Friendship University of Russia (RUDN University)
Email: matyushenko-si@rudn.ru
Moscow
Konstantin Evgen'evich Samouylov
Peoples’ Friendship University of Russia (RUDN University), Moscow; Federal Research Center “Computer Science and Control” of the RAS
Email: samuylov-ke@rudn.ru
Moscow
References
БОЧАРОВ П.П., ПЕЧИНКИН А.В. Теория массового обслу-живания. – М.: Изд-во РУДН, 1995. – 529 c. ВИШНЕВСКИЙ В.М., КЛИМЕНОК В.И., ЛАРИО-НОВ А.А., МУХТАРОВ А.А., СОКОЛОВ А.М. Иссле-дование характеристик приоритетной мультисервиснойсистемы MMAP/PH/M/N с использованием методаМонте-Карло // Управление большими системами. – 2023. –№103. – С. 6–39. ВИШНЕВСКИЙ В.М., СЕМЁНОВА О.В. Системы поллин-га: теория и применение в широкополосных беспроводныхсетях. – М.: Техносфера, 2007. – 312 c. ГУБАНОВ Д.А., НОВИКОВ Д.А. Модели совместной дина-мики мнений и действий в онлайновых социальных сетях.Ч. 1. Исходные данные и первичный анализ // Проблемыуправления. – 2023. – №2. – С. 37–53. KAUL S., GRUTESER M., RAI V., KENNEY J. Minimizingage of information in vehicular networks // Proc. of the 20118th Annual IEEE communications society conference on sensor,mesh and ad hoc communications and networks. IEEE. –2011. – P. 350–358. KOSTA A., PAPPAS N., AGELAKIS V. Age of Information:A New Concept, Metrics and Tools // Foundations and Trendsin Networking. – 2017. – Vol. 12, No. 3. – P. 162–259. – doi: 10.1561/1300000060. SULTAN A.Ultra Reliable and Low Latency Communications /3GPP, 2023. – URL: https://www.3gpp.org/technologies/urlcc-2022 (дата обращения: 18.10.2023). ZHBANKOVA E., MANAEVA V., MARKOVA E.,GAIDAMAKA YU. The Age of Information in WirelessCellular Systems: Gaps, Open Problems, and ResearchChallenges // Sensors. – 2023. – Vol. 23, No. 19. – P. 8238. –doi: 10.3390/s23198238.
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