网络应用中不确定性量化的多保真度方法探讨

G. Geraci, L. Swiler, J. Crussell, B. Debusschere
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摘要

. 通信网络已经发展到一个复杂的程度,需要计算机模型和数值模拟来理解和预测它们的行为。网络模拟器是一种软件,它使网络设计人员能够模拟计算机网络的几个组件,如节点、路由器、交换机和链路,以及数据传输和数据包错误等事件,以获得设备和网络级别的度量。网络模拟和许多其他模拟复杂系统的数值近似一样,都受到系统参数和运行条件的规范的制约。通常不可能完全描述系统及其输入,因此需要部署不确定性量化(UQ)策略来评估其响应和行为的统计数据。尽管UQ技术在过去二十年中取得了进步,但在存在大量不确定变量和系统响应的规律性无法保证的情况下,UQ技术仍然受到影响。在这种情况下,多保真度方法由于其灵活性和对这些挑战的鲁棒性,最近在UQ社区中得到了普及。这些技术背后的主要思想是从有限数量的高保真度模型实现中提取信息,并用大量的一组低保真度评估来补充它们。最后得到一个方差小得多的估计量,即得到一个更准确、更可靠的估计量。在这篇文章中,我们研究了将多保真UQ策略部署到计算机网络分析中的可能性。在一个简化的单客户端和单服务器网络中,研究了两种数值配置。这些测试的初步结果表明,多保真采样技术可以作为网络应用中UQ工具的有效工具
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EXPLORATION OF MULTIFIDELITY APPROACHES FOR UNCERTAINTY QUANTIFICATION IN NETWORK APPLICATIONS
. Communication networks have evolved to a level of sophistication that requires computer models and numerical simulations to understand and predict their behavior. A network simulator is a software that enables the network designer to model several components of a computer network such as nodes, routers, switches and links and events such as data transmissions and packet errors in order to obtain device and network level metrics. Network simulations, as many other numerical approximations that model complex systems, are subject to the specification of parameters and operative conditions of the system. Very often the full characterization of the system and their input is not possible, therefore Uncertainty Quantification (UQ) strategies need to be deployed to evaluate the statistics of its response and behavior. UQ techniques, despite the advancements in the last two decades, still suffer in the presence of a large number of uncertain variables and when the regularity of the systems response cannot be guaranteed. In this context, multifidelity approaches have gained popularity in the UQ community recently due to their flexibility and robustness with respect to these challenges. The main idea behind these techniques is to extract information from a limited number of high-fidelity model realizations and complement them with a much larger number of a set of lower fidelity evaluations. The final result is an estimator with a much lower variance, i.e. a more accurate and reliable estimator can be obtained. In this contribution we investigate the possibility to deploy multifidelity UQ strategies to computer network analysis. Two numerical configurations are studied based on a simplified network with one client and one server. Preliminary results for these tests suggest that multifidelity sampling techniques might be used as effective tools for UQ tools in network applications
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