Probability Analysis of Age of Information in Multi-hop Networks
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Age-of-information (AoI) is a metric quantifying information freshness at the receiver. It has received a lot of attention as it captures the delay together with packet loss and packet generation rate. However, most of the work aim for the average or peak AoI neglecting the complete distribution. In this work, we consider a n-hop network between a source and destination pair with time-invariant packet loss probabilities on each link. We derive closed form equations for the probability mass function of AoI at the receiver. We verify our findings with simulations. Our results show that the performance indicators considered in the literature such as average AoI or peak AoI may give misleading insights into the complete AoI performance.
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