有限状态马尔可夫无线信道上的联合新鲜度与年龄离散度控制
Joint Freshness and Age-Dispersion Control over Finite-State Markov Wireless Channels
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中文总结 AI 辅助
本文针对有限状态马尔可夫无线信道，提出联合控制信息年龄与年龄离散度的方法，通过约束马尔可夫决策过程优化，在相同传输预算下减少37.3%的阈值违规。
中文摘要 AI 辅助
信息年龄（AoI）已成为及时监测的标准设计目标，因为它衡量接收端最新更新的新鲜度。然而，在决策依赖于连续观测的目标导向应用中，仅靠AoI是不够的。年龄离散度通过衡量连续更新之间的生成时间间隔来补充AoI。本文研究了一个以有限状态马尔可夫无线信道建模的按需生成状态更新链路的联合新鲜度与离散度控制问题。目标是在平均传输速率约束下，最小化AoI或年龄离散度超过规定阈值的长期概率。对于依赖于信道的随机传输策略，我们推导了AoI与离散度平稳联合分布的精确矩阵表达式。对于可逆信道，平均离散度以传输吞吐量的倒数为下界，其差值为一个显式的非负方差项，我们为其建立了精确的等式条件。随后，我们将自适应联合阈值控制问题建模为约束马尔可夫决策过程，并证明其存在一个精确的有限状态表示，该表示的大小随信道状态数和阈值水平线性增长。仿真结果表明，在相同传输预算下，该控制器相比自适应仅AoI控制，将联合阈值违规减少了37.3%，同时平均AoI增加了8.3%。
英文摘要
Age of information (AoI) has become a standard design objective for timely monitoring as it measures the freshness of the latest update at a receiver. AoI alone, however, is insufficient in goal-oriented applications where decisions depend on consecutive observations. Age dispersion complements AoI by measuring the generation-time separation between consecutive updates. In this paper, we study joint freshness and dispersion control for a generate-at-will status update link modeled as a finite-state Markov wireless channel. The objective is to minimize the long-run probability that either AoI or age dispersion exceeds a prescribed threshold under an average transmission rate constraint. For channel-dependent randomized transmission policies, we derive exact matrix expressions for the stationary joint distribution of AoI and dispersion. For reversible channels, mean dispersion is lower bounded by the reciprocal of the delivery throughput, and the difference is an explicit non-negative variance term for which we establish the exact equality condition. We then formulate the adaptive joint-threshold control problem as a constrained Markov decision process and prove that it admits an exact finite-state representation whose size scales linearly with the number of channel states and the threshold levels. Simulation results show that the controller reduces joint threshold violations by 37.3% relative to adaptive AoI-only control under the same transmission budget, while increasing mean AoI by 8.3%.
发表机构
- Mount Royal University（蒙特皇家大学）
- York University（约克大学）
- PSG College of Technology（PSG理工学院）
- K. N. Toosi University of Technology（K.N.托伊西理工大学）
机构由 AI 辅助整理，请以论文原文为准。
