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Moment Generating Function of the AoI in a Two-Source System With Packet Management
Univ Oulu, Finland.
Univ Oulu, Finland.
Linköping University, Department of Science and Technology, Communications and Transport Systems. Linköping University, Faculty of Science & Engineering.
2021 (English)In: IEEE Wireless Communications Letters, ISSN 2162-2337, E-ISSN 2162-2345, Vol. 10, no 4, p. 882-886Article in journal (Refereed) Published
Abstract [en]

We consider a status update system consisting of two independent sources and one server in which packets of each source are generated according to the Poisson process and packets are served according to an exponentially distributed service time. We derive the moment generating function (MGF) of the age of information (AoI) for each source in the system by using the stochastic hybrid systems (SHS) under two existing source-aware packet management policies which we term self-preemptive and non-preemptive policies. In the both policies, the system (i.e., the waiting queue and the server) can contain at most two packets, one packet of each source; when the server is busy and a new packet arrives, the possible packet of the same source in the waiting queue is replaced by the fresh packet. The main difference between the policies is that in the self-preemptive policy, the packet under service is replaced upon the arrival of a new packet from the same source, whereas in the non-preemptive policy, this new arriving packet is blocked and cleared. We use the derived MGF to find the first and second moments of the AoI and show the importance of higher moments.

Place, publisher, year, edition, pages
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC , 2021. Vol. 10, no 4, p. 882-886
Keywords [en]
Servers; Markov processes; Correlation; Sensors; Queueing analysis; Time measurement; Random processes; Age of information (AoI); stochastic hybrid systems (SHS); moment generating function (MGF)
National Category
Telecommunications
Identifiers
URN: urn:nbn:se:liu:diva-175714DOI: 10.1109/LWC.2020.3048628ISI: 000639653500040OAI: oai:DiVA.org:liu-175714DiVA, id: diva2:1555278
Note

Funding Agencies|Infotech Oulu; Academy of FinlandAcademy of FinlandEuropean Commission [319485, 323698]; Academy of Finland 6Genesis Flagship [318927]; Finnish Foundation for Technology Promotion; HPY Research Foundation; Riitta ja Jorma J. Takanen Foundation; Nokia Foundation; European Unions Horizon 2020 Research and Innovation Programme through the Marie Sklodowska-Curie Grant [793402]

Available from: 2021-05-18 Created: 2021-05-18 Last updated: 2021-05-18

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CiteExportLink to record
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  • apa
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