On the Outage Probability of Peak Age-of-Information for D/G/1 Queuing Systems

This letter considers the age-of-information (AoI) that characterizes how long it takes for the destination to get the latest information since its generation at the source. Particularly, we examine the peak AoI, i.e., the maximum of AoI, just before the latest information is received for D/G/1 queu...

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Bibliographic Details
Published inIEEE communications letters Vol. 23; no. 6; pp. 1021 - 1024
Main Authors Seo, Jun-Bae, Choi, Jinho
Format Journal Article
LanguageEnglish
Published New York IEEE 01.06.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Age-of-information
Australia
Closed-form solutions
Indexes
large deviation
Mathematical analysis
peak AoI
Power system reliability
Probability
Queues
Queuing theory
Real-time systems
Sensors
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Summary:This letter considers the age-of-information (AoI) that characterizes how long it takes for the destination to get the latest information since its generation at the source. Particularly, we examine the peak AoI, i.e., the maximum of AoI, just before the latest information is received for D/G/1 queuing systems in which the information (or packet) is periodically generated. We obtain an approximate closed-form expression for the outage probability that the peak AoI exceeds a certain threshold. Numerical results for D/Geo/1/<inline-formula> <tex-math notation="LaTeX">\infty </tex-math></inline-formula> and D/M/1/<inline-formula> <tex-math notation="LaTeX">\infty </tex-math></inline-formula> systems show that our approximation is tight.
ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2019.2911505