The Probability Distribution of the AoI in Queues with Infinitely Many Servers
Yoshiaki Inoue · 2020
In this paper, we derive an explicit expression for the probability distribution of the age of information (AoI) in the GI/GI/∞ queue with loss. Two special cases M/GI/∞ and D/GI/∞ are discussed, where the distribution function of the AoI is shown to take a simple closed-form. In addition, a comparison result between the M/GI/∞ and D/GI/∞ queues in terms of the AoI distribution is presented.