Statistical Age-of-Information Bounds for Parallel Systems: When Do Independent Channels Make a Difference?

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Original languageEnglish
Pages (from-to)591-606
Number of pages16
JournalIEEE Journal on Selected Areas in Information Theory
Volume4
Publication statusPublished - 31 Oct 2023

Abstract

This paper contributes tail bounds of the age-of-information of a general class of parallel systems and explores their potential. Parallel systems arise in relevant cases, such as in multi-band mobile networks, multi-technology wireless access, or multi-path protocols, just to name a few. Typically, control over each communication channel is limited and random service outages and congestion cause buffering that impairs the age-of-information. The parallel use of independent channels promises a remedy, since outages on one channel may be compensated for by another. Surprisingly, for the well-known case of MM queues we find the opposite: pooling capacity in one channel performs better than a parallel system with the same total capacity. A generalization is not possible since there are no solutions for other types of parallel queues at hand. In this work, we prove a dual representation of age-of-information in min-plus algebra that connects to queueing models known from the theory of effective bandwidth/capacity and the stochastic network calculus. Exploiting these methods, we derive tail bounds of the age-of-information of GG1 queues. Tail bounds of the age-of-information of independent parallel queues follow readily. In addition to parallel classical queues, we investigate Markov channels where, depending on the memory of the channel, we show the true advantage of parallel systems. We continue to investigate this new finding and provide insight into when capacity should be pooled in one channel or when independent parallel channels perform better. We complement our analysis with simulation results and evaluate different update policies, scheduling policies, and the use of heterogeneous channels that is most relevant for latest multi-band networks.

Keywords

    age-of-information, Communication network performance, multi-band wireless communication, multi-path communication, stochastic network calculus

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Cite this

Statistical Age-of-Information Bounds for Parallel Systems: When Do Independent Channels Make a Difference? / Fidler, Markus; Champati, Jaya Prakash; Widmer, Joerg et al.
In: IEEE Journal on Selected Areas in Information Theory, Vol. 4, 31.10.2023, p. 591-606.

Research output: Contribution to journalArticleResearchpeer review

Fidler M, Champati JP, Widmer J, Noroozi M. Statistical Age-of-Information Bounds for Parallel Systems: When Do Independent Channels Make a Difference? IEEE Journal on Selected Areas in Information Theory. 2023 Oct 31;4:591-606. doi: 10.48550/arXiv.2303.14035, 10.1109/JSAIT.2023.3328766
Fidler, Markus ; Champati, Jaya Prakash ; Widmer, Joerg et al. / Statistical Age-of-Information Bounds for Parallel Systems : When Do Independent Channels Make a Difference?. In: IEEE Journal on Selected Areas in Information Theory. 2023 ; Vol. 4. pp. 591-606.
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