Infinite horizon optimal impulsive control with applications to Internet congestion control
Infinite horizon optimal impulsive control with applications to Internet congestion control
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DOI：
10.1080/00207179.2014.971436
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发表时间：
2015-04
影响因子：
2.1
通讯作者：
Konstantin Avrachenkov;Oussama Habachi;A. Piunovskiy;Yi Zhang
中科院分区：
文献类型：
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作者：
Konstantin Avrachenkov;Oussama Habachi;A. Piunovskiy;Yi Zhang
我们研究了同时允许任意有限个脉冲的渐进式控制和脉冲控制的无限水平确定性最优控制问题。同时考虑了贴现和长期时间平均标准。我们建立了非常一般的同时自然的条件，在此条件下，动态规划方法得到了最优反馈策略。将所建立的理论结果应用于Internet拥塞控制，通过解析和非平凡地解决底层的最优控制问题，得到了一种简单的基于门限的主动队列管理方案，该方案考虑了传输控制协议的主要参数，并改善了给定网络中连接之间的公平性。
We investigate infinite-horizon deterministic optimal control problems with both gradual and impulsive controls, where any finitely many impulses are allowed simultaneously. Both discounted and long-run time-average criteria are considered. We establish very general and at the same time natural conditions, under which the dynamic programming approach results in an optimal feedback policy. The established theoretical results are applied to the Internet congestion control, and by solving analytically and nontrivially the underlying optimal control problems, we obtain a simple threshold-based active queue management scheme, which takes into account the main parameters of the transmission control protocols, and improves the fairness among the connections in a given network.