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首页> 外文期刊>IEEE Transactions on Automatic Control >Structural Properties of Optimal Transmission Policies Over a Randomly Varying Channel
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Structural Properties of Optimal Transmission Policies Over a Randomly Varying Channel

机译：随机变化信道上最优传输策略的结构性质

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摘要

We consider the problem of transmitting packets over a randomly varying point to point channel with the objective of minimizing the expected power consumption subject to a constraint on the average packet delay. By casting it as a constrained Markov decision process in discrete time with time-averaged costs, we prove structural results about the dependence of the optimal policy on buffer occupancy, number of packet arrivals in the previous slot and the channel fading state for both i.i.d. and Markov arrivals and channel fading. The techniques we use to establish such results: convexity, stochastic dominance, decreasing-differences, are among the standard ones for the purpose. Our main contribution, however, is the passage to the average cost case, a notoriously difficult problem for which rather limited results are available. The novel proof techniques used here are likely to have utility in other stochastic control problems well beyond their immediate application considered here.
机译：我们考虑在随机变化的点对点信道上传输数据包的问题，​​目的是在受到平均数据包延迟约束的情况下，将预期功耗降至最低。通过将其作为具有时间平均成本的离散时间的约束Markov决策过程进行转换，我们证明了关于最优策略对缓冲区占用率，前一时隙中数据包到达数量以及i.i.d信道衰落状态的依赖性的结构性结果。马尔可夫的到来和频道的衰落。我们用于建立这样的结果的技术：凸度，随机优势度，递减差异是用于此目的的标准技术。但是，我们的主要贡献是采用了平均成本方法，这是一个非常困难的问题，其结果有限。这里使用的新颖证明技术可能会在其他随机控制问题中具有实用性，远远超出了此处考虑的即时应用范围。

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