AoI in source-aware preemptive M/G/1/1 queueing systems : moment generating function
Moltafet, Mohammad; Leinonen, Markus; Codreanu, Marian (2022-08-03)
M. Moltafet, M. Leinonen and M. Codreanu, "AoI in Source-Aware Preemptive M/G/1/1 Queueing Systems: Moment Generating Function," 2022 IEEE International Symposium on Information Theory (ISIT), Espoo, Finland, 2022, pp. 139-143, doi: 10.1109/ISIT50566.2022.9834671.
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https://urn.fi/URN:NBN:fi-fe2023021026807
Tiivistelmä
Abstract
We consider a multi-source status update system consisting of multiple independent sources, one server, and one sink. The packets of the sources are generated according to Poisson processes and served according to a generally distributed service time. We consider a system with no waiting buffer and model it as a multi-source M/G/1/1 queueing model. We introduce a source-aware preemptive packet management policy and subsequently derive the moment generating functions (MGFs) of the age of information (AoI) and peak AoI of each source. According to the policy, when a packet arrives, the possible packet of the same source in the system is replaced by the fresh packet. Simulation results show the performance of the packet management policy.
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