University of Oulu

M. Moltafet, M. Leinonen and M. Codreanu, "Moment Generating Function of Age of Information in Multisource M/G/1/1 Queueing Systems," in IEEE Transactions on Communications, vol. 70, no. 10, pp. 6503-6516, Oct. 2022, doi: 10.1109/TCOMM.2022.3202945

Moment generating function of age of information in multisource M/G/1/1 queueing systems

Saved in:
Author: Moltafet, Mohammad1; Leinonen, Markus1; Codreanu, Marian2
Organizations: 1Centre for Wireless Communications—Radio Technologies, University of Oulu, 90014 Oulu, Finland
2Department of Science and Technology, Linköping University, 58183 Linköping, Sweden
Format: article
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 1.5 MB)
Persistent link:
Language: English
Published: Institute of Electrical and Electronics Engineers, 2022
Publish Date: 2022-12-20


We consider a multi-source status update system, where each source generates status update packets according to a Poisson process which are then served according to a generally distributed service time. For this multi-source M/G/1/1 queueing model, we consider a self-preemptive packet management policy and derive the moment generating functions (MGFs) of the age of information (AoI) and peak AoI of each source. According to the policy, an arriving fresh packet preempts the possible packet of the same source in the system. Furthermore, we derive the MGFs of the AoI and peak AoI for the globally preemptive and non-preemptive policies, for which only the average AoI and peak AoI have been derived earlier. Finally, we use the MGFs to derive the average AoI and peak AoI in a two-source M/G/1/1 queueing model under each policy. Numerical results show the effect of the service time distribution parameters on the average AoI. The results also highlight the importance of higher moments of the AoI.

see all

Series: IEEE transactions on communications
ISSN: 0090-6778
ISSN-E: 1558-0857
ISSN-L: 0090-6778
Volume: 70
Issue: 10
Pages: 6503 - 6516
DOI: 10.1109/tcomm.2022.3202945
Type of Publication: A1 Journal article – refereed
Field of Science: 213 Electronic, automation and communications engineering, electronics
Funding: This research has been financially supported by the Infotech Oulu, the Academy of Finland (grant 323698), and Academy of Finland 6G Flagship program (grant 346208). The work of M. Leinonen has also been financially supported in part by the Academy of Finland (grant 340171).
Academy of Finland Grant Number: 323698
Detailed Information: 323698 (Academy of Finland Funding decision)
346208 (Academy of Finland Funding decision)
340171 (Academy of Finland Funding decision)
Copyright information: © The Author(s) 2022. This work is licensed under a Creative Commons Attribution 4.0 License. For more information, see