论文标题
关于斯坦因的重型分析方法的注释
A Note on Stein's Method for Heavy-Traffic Analysis
论文作者
论文摘要
在本说明中，我们采用Stein的方法来分析传统重型交通状态中排队系统的稳态分布。与以前的方法（例如，漂移方法和变换方法）相比，Stein的方法使我们能够通过简单和模板证明建立更强大的结果。特别是，我们在本说明中考虑离散时间系统。我们首先通过单服务器系统介绍了Stein的重型分析方法的关键思想。然后，我们应用开发的模板来分析负载平衡问题和调度问题。所有这三个示例都证明了Stein方法在重量分析中的功能和灵活性。特别是，我们可以看到Stein方法的一个吸引人的属性是，它结合了漂移方法和转换方法的优势。
In this note, we apply Stein's method to analyze the steady-state distribution of queueing systems in the traditional heavy-traffic regime. Compared to previous methods (e.g., drift method and transform method), Stein's method allows us to establish stronger results with simple and template proofs. In particular, we consider discrete-time systems in this note. We first introduce the key ideas of Stein's method for heavy-traffic analysis through a single-server system. Then, we apply the developed template to analyze both load balancing problems and scheduling problems. All these three examples demonstrate the power and flexibility of Stein's method in heavy-traffic analysis. In particular, we can see that one appealing property of Stein's method is that it combines the advantages of both the drift method and the transform method.
