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Computer Science > Information Theory

arXiv:2109.05752 (cs)
[Submitted on 13 Sep 2021 (v1), last revised 14 Sep 2021 (this version, v2)]

Title:On the Age of Information of a Queuing System with Heterogeneous Servers

Authors:Anhad Bhati, Sibi Raj B. Pillai, Rahul Vaze
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Abstract:An optimal control problem with heterogeneous servers to minimize the average age of information (AoI) is considered. Each server maintains a separate queue, and each packet arriving to the system is randomly routed to one of the servers. Assuming Poisson arrivals and exponentially distributed service times, we first derive an exact expression of the average AoI for two heterogeneous servers. Next, to solve for the optimal average AoI, a close approximation is derived, called the approximate AoI, this is shown to be useful for multi-server systems as well. We show that for the optimal approximate AoI, server utilization (ratio of arrival rate and service rate) for each server should be same as the optimal server utilization with a single server queue. For two identical servers, it is shown that the average AoI is approximately 5/8 times the average AoI of a single server. Furthermore, the average AoI is shown to decrease considerably with the addition of more servers to the system.
Comments: 6 pages, 4 figures. Appeared in NCC 2021, IIT Kanpur
Subjects: Information Theory (cs.IT)
MSC classes: 94A15
Cite as: arXiv:2109.05752 [cs.IT]
  (or arXiv:2109.05752v2 [cs.IT] for this version)
  https://doi.org/10.48550/arXiv.2109.05752

Submission history

From: Anhad Bhati [view email]
[v1] Mon, 13 Sep 2021 07:23:41 UTC (811 KB)
[v2] Tue, 14 Sep 2021 11:34:00 UTC (812 KB)
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