Age of Information for Single Buffer Systems with Vacation Server
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In this research, we consider age-related metrics for queueing systems with vacation server. Assuming that there is a single buffer at the queue to receive packets, we consider three variations of this single buffer system, namely Conventional Buffer System (CBS), Buffer Relaxation System (BRS), and Conventional Buffer System with Preemption in Service (CBS-P). We introduce a decomposition approach to derive the closed-form expressions for expected Age of Information (AoI), expected Peak Age of Information (PAoI) as well as the variance of peak age for these systems. We then consider these three systems with non-independent vacations, and use polling system as an example to show that the decomposition approach can be applied to derive closed-form expressions of PAoI for general situation. We explore the conditions under which one of these systems has advantage over the others, and we further perform numerical studies to validate our results and develop insights.
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