论文标题
带有多个信息源的信息时代的离散时间排队模型
Discrete-time Queueing Model of Age of Information with Multiple Information Sources
论文作者
论文摘要
通过信息时代（AOI）和峰值AOI（PAOI）性能指标，已研究了基于IoT的状态更新系统中的信息新鲜度。在本文中，我们研究了在多源物联网系统中产生的离散时间服务器，该服务器接受来自多个信息源的传入信息数据包，以便将其转发到远程监视器以进行状态更新目的。 Under the assumption of Bernoulli information packet arrivals and a common geometric service time distribution across all the sources, we numerically obtain the exact per-source distributions of AoI and PAoI in matrix-geometric form for three different queueing disciplines: i) Non-Preemptive Bufferless (NPB) ii) Preemptive Bufferless (PB) iii) Non-Preemptive Single Buffer with Replacement （npsbr）。所提出的数值算法采用了准 - birth Death（QBD）类型的离散时间马尔可夫链（DTMC）的理论，并且是矩阵分析，即，算法基于数值稳定，有效的载体示例操作。提供了精确的模型和有效性。我们还提供了一个数字示例，介绍了在实用的物联网系统中的最佳选择，该系统具有两个具有不同AOI要求的来源。
Information freshness in IoT-based status update systems has recently been studied through the Age of Information (AoI) and Peak AoI (PAoI) performance metrics. In this paper, we study a discrete-time server arising in multi-source IoT systems which accepts incoming information packets from multiple information sources so as to be forwarded to a remote monitor for status update purposes. Under the assumption of Bernoulli information packet arrivals and a common geometric service time distribution across all the sources, we numerically obtain the exact per-source distributions of AoI and PAoI in matrix-geometric form for three different queueing disciplines: i) Non-Preemptive Bufferless (NPB) ii) Preemptive Bufferless (PB) iii) Non-Preemptive Single Buffer with Replacement (NPSBR). The proposed numerical algorithm employs the theory of Discrete-Time Markov Chains (DTMC) of Quasi-Birth-Death (QBD) type and is matrix analytical, i.e, the algorithm is based on numerically stable and efficient vector-matrix operations.Numerical examples are provided to validate the accuracy and effectiveness of the proposed queueing model. We also present a numerical example on the optimum choice of the Bernoulli parameters in a practical IoT system with two sources with diverse AoI requirements.
