Moment generating function of the AoI in multi-source systems with computation-intensive status updates
Moltafet, Mohammad; Leinonen, Markus; Codreanu, Marian (2021-11-23)
M. Moltafet, M. Leinonen and M. Codreanu, "Moment Generating Function of the AoI in Multi-Source Systems with Computation-Intensive Status Updates," 2021 IEEE Information Theory Workshop (ITW), 2021, pp. 1-6, doi: 10.1109/ITW48936.2021.9611498
© 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
https://rightsstatements.org/vocab/InC/1.0/
https://urn.fi/URN:NBN:fi-fe2021121060139
Tiivistelmä
Abstract
We consider a multi-source status update system in which status updates are transmitted as packets containing the measured value of the monitored process and a time stamp representing the time when the sample was generated. The packets of each source are generated according to a Poisson process and served according to an exponentially distributed service time. We assume that the received status update packets need further processing before being used (hence, computation intensive). This is mathematically modeled by an additional server at the sink. The sink server serves the packets according to an exponentially distributed service time. We introduce two packet management policies, a preemptive policy and a blocking policy, and derive the moment generating function (MGF) of the AoI of each source under the both policies. In the both policies, the system can contain at most two packets, one at the transmitter server and one at the sink server. In the preemptive policy, a new arriving packet preempts any possible packet that is currently under service regardless of the packet’s source index. In the blocking policy, when a server is busy at the arrival instant of a packet, the arriving packet is blocked and cleared. We assume that the same preemptive/blocking policy is employed in both the transmitter and sink server. Numerical results are provided to assess the results.
Kokoelmat
- Avoin saatavuus [34516]