Age of Information (AoI) has emerged as an important quality-of-service measure in queueing systems. We derive the Laplace transform of the stationary AoI for the M/GI/1/2 system with a dynamic service preemption and pushout policy depending on the existing service time of the in-service message. Thus, our system generalizes both the static M/GI/1/2 queue-pushout system without service preemption and the M/GI/1/1 bufferless system with service preemption.

中文翻译：

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动态服务抢占下的信息分发时代

信息时代（AoI）已成为排队系统中一项重要的服务质量衡量标准。我们根据服务消息的现有服务时间，采用动态服务抢占和推出策略，推导了M / GI / 1/2系统的静态AoI的拉普拉斯变换。因此，我们的系统对没有服务抢占的静态M / GI / 1/2队列推送系统和具有服务抢占的M / GI / 1/1无缓冲系统进行了概括。