Equilibrium routing under uncertainty

Equilibrium routing under uncertainty
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不确定性下的均衡路由

DOI:
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发表时间:
2015
影响因子:
2.7
通讯作者:
R. Cominetti
R. Cominetti
中科院分区:
数学2区
文献类型:
--
作者:
R. Cominetti

文献摘要

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我们提供了一个简单的介绍,用于描述交通拥挤的网络,无论是在城市交通和电信的基本模型。我们讨论交通平衡模型,包括原子和非原子路由游戏,重点是旅行时间受到随机波动的情况。我们使用凸优化模型在一个统一的框架,强调共同的底层结构。作为弹性需求流量均衡的一个典型例子,我们讨论了电信中路由和拥塞控制的一些模型。我们还描述了一类随机动力学模型的自适应行为的代理,并提供了一个合理的微观基础的平衡。最后,我们提出了一些最近的想法,如何规避风险的行为可能会纳入均衡模型。
We provide a brief introduction to the basic models used to describe traffic on congested networks, both in urban transport and telecommunications. We discuss traffic equilibrium models, covering atomic and non-atomic routing games, with emphasis on situations where the travel times are subject to random fluctuations. We use convex optimization to present the models in a unified framework that stresses the common underlying structures. As a prototypical example of traffic equilibrium with elastic demands, we discuss some models for routing and congestion control in telecommunications. We also describe a class of stochastic dynamics that model the adaptive behavior of agents and which provides a plausible micro-foundation for the equilibrium. Finally we present some recent ideas on how risk-averse behavior might be incorporated in the equilibrium models.