论文标题

状态更新控制和分析在双向延迟下

Status Update Control and Analysis under Two-Way Delay

论文作者

Moltafet, Mohammad, Leinonen, Markus, Codreanu, Marian, Yates, Roy D.

论文摘要

我们研究了一个在接收器上的采样器,水槽和控制器组成的系统中的双向延迟下更新状态。控制器通过将请求数据包发送到采样器来控制采样过程。收到请求后,采样器会生成样本并将状态更新数据包发送到水槽。请求和状态更新数据包的传输会遇到随机延迟。我们制定最佳控制策略,以在两种情况下使用马尔可夫决策过程的工具最大程度地减少信息的平均年龄(AOI)。我们从最多有一个主动请求的系统开始,即尚未收到状态更新数据包的生成请求。然后,作为本文的主要独特功能,我们通过研究最多有两个主动请求的系统来启动管道类型状态更新。此外,我们通过得出零等待1,零等待-2和Wait-1策略的平均AOI表达来进行AOI分析。根据零等待策略,每当将状态更新数据包传递到接收器时,就会将新的请求数据包插入系统。零等2策略的运行方式相似,只是系统包含两个主动请求。根据Wait-1策略,每当将状态更新数据包传递到接收器时,等待时间是当前AOI的函数后发送的新请求。数值结果说明了不同系统参数值下的每个状态更新策略的性能。

We study status updating under two-way delay in a system consisting of a sampler, a sink, and a controller residing at the sink. The controller controls the sampling process by sending request packets to the sampler. Upon receiving a request, the sampler generates a sample and transmits the status update packet to the sink. Transmissions of both request and status update packets encounter random delays. We develop optimal control policies to minimize the average age of information (AoI) using the tools of Markov decision processes in two scenarios. We begin with the system having at most one active request, i.e., a generated request for which the sink has not yet received a status update packet. Then, as the main distinctive feature of this paper, we initiate pipelining-type status updating by studying a system having at most two active requests. Furthermore, we conduct AoI analysis by deriving the average AoI expressions for the Zero-Wait-1, Zero-Wait-2, and Wait-1 policies. According to the Zero-Wait-1 policy, whenever a status update packet is delivered to the sink, a new request packet is inserted into the system. The Zero-Wait-2 policy operates similarly, except that the system holds two active requests. According to the Wait-1 policy, whenever a status update packet is delivered to the sink, a new request is sent after a waiting time which is a function of the current AoI. Numerical results illustrate the performance of each status updating policy under different system parameter values.

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