Mathematical Programming Volumen: 151 Número: 1 Páginas: 117-151 Número especial: SI
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Identifier
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DOI: 10.1007/s10107-015-0889-y
Identifier
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https://repositorio.uchile.cl/handle/2250/132699
General note
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Artículo de publicación ISI
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Abstract
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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.
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Patrocinador
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FONDECYT, Nucleo Milenio Informacion y Coordinacion en Redes, Instituto de Sistemas Complejos de Ingenieria