Modeling Interfering Sources in Shared Queues for Timely Computations in Edge Computing Systems

Nail Akar, Melih Bastopcu, Sennur Ulukus, Tamer Başar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Most existing stochastic models on age of information (AoI) focus on a single shared server serving status update packets from N > 1 sources where each packet update stream is Poisson, i.e., single-hop scenario. In the current work, we study a two-hop edge computing system for which status updates from the information sources are still Poisson but they are not immediately available at the shared edge server, but instead they need to first receive service from a transmission server dedicated to each source. For exponentially distributed and heterogeneous service times for both the dedicated servers and the edge server, and bufferless preemptive resource management, we develop an analytical model using absorbing Markov chains (AMC) for obtaining the distribution of AoI for any source in the system. Moreover, for a given tagged source, the traffic arriving at the shared server from the N − 1 un-tagged sources, namely the interference traffic, is not Poisson any more, but is instead a Markov modulated Poisson process (MMPP) whose state space grows exponentially with N. Therefore, we propose to employ a model reduction technique that approximates the behavior of the MMPP interference traffic with two states only, making it possible to approximately obtain the AoI statistics even for a very large number of sources. Numerical examples are presented to validate the proposed exact and approximate models.

Original languageEnglish (US)
Title of host publicationMobiHoc 2024 - Proceedings of the 2024 International Symposium on Theory, Algorithmic Foundations, and Protocol Design for Mobile Networks and Mobile Computing
PublisherAssociation for Computing Machinery
Pages387-391
Number of pages5
ISBN (Electronic)9798400705212
DOIs
StatePublished - Oct 14 2024
Event2024 International Symposium on Theory, Algorithmic Foundations, and Protocol Design for Mobile Networks and Mobile Computing, MobiHoc 2024 - Athens, Greece
Duration: Oct 14 2024Oct 17 2024

Publication series

NameProceedings of the International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc)

Conference

Conference2024 International Symposium on Theory, Algorithmic Foundations, and Protocol Design for Mobile Networks and Mobile Computing, MobiHoc 2024
Country/TerritoryGreece
CityAthens
Period10/14/2410/17/24

Keywords

  • absorbing Markov chains
  • Age of information
  • Markov modulated Poisson process
  • two-hop status update systems

ASJC Scopus subject areas

  • Hardware and Architecture
  • Computer Networks and Communications
  • Software

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