Age of Information (AoI) is a critical metric in status update systems as these systems require the fresh updates. This letter investigates the uplink of an Internet-of-Thing (IoT) network where ${L}$ nodes transmit their information packets to a base station. The effects of the arrival rate of packets at the nodes, the number of nodes in the system, and queue length of each node have been studied by devising a discrete time Markov chain (MC) model. This model helps in predicting the values of AoI and probability of packet drops in such systems. The notion of first-in first-out is used for queuing, which transmits the oldest packet first, resulting in decreasing the overall AoI of the system. The results show that AoI increases with the increase in queue length, number of nodes and arrival rate and we quantify the aforementioned metrics using the MC model. The results found using the MC model are also validated using extensive simulations.

中文翻译：

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用于分析物联网网络信息时代的马尔可夫模型

信息时代 (AoI) 是状态更新系统中的一个关键指标，因为这些系统需要最新的更新。这封信调查了物联网 (IoT) 网络的上行链路，其中 ${L}$ 节点将它们的信息包发送到基站。通过设计离散时间马尔可夫链 (MC) 模型，研究了数据包到达节点的速率、系统中的节点数和每个节点的队列长度的影响。该模型有助于预测此类系统中的 AoI 值和丢包概率。先进先出的概念用于排队，它首先传输最旧的数据包，从而降低系统的整体 AoI。结果表明，AoI 随着队列长度、节点数量和到达率的增加而增加，我们使用 MC 模型量化上述指标。使用 MC 模型发现的结果也使用广泛的模拟进行了验证。