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Stability analysis of transportation networks with multiscale driver decisions

In English

Författare

  • Giacomo Como
  • Ketan Savla
  • Daron Acemoglu
  • Munther A. Dahleh
  • Emilio Frazzoli

Summary, in English

Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of indistinguishable drivers commuting between a common origin/destination pair in an acyclic transportation network. The drivers' route choices are affected by their, relatively infrequent, perturbed best responses to global information about the current network congestion levels, as well as their instantaneous local observation of the immediate surroundings as they transit through the network. A novel model is proposed for the drivers' route choice behavior, exhibiting local consistency with their preference toward globally less congested paths as well as myopic decisions in favor of locally less congested paths. The simultaneous evolution of the traffic congestion on the network and of the aggregate path preference is modeled by a system of coupled ordinary differential equations. The main result shows that, if the frequency of updates of path preferences is sufficiently small as compared to the frequency of the traffic flow dynamics, then the state of the transportation network ultimately approaches a neighborhood of the Wardrop equilibrium. The proposed analysis combines techniques from singular perturbation theory, evolutionary game theory, and cooperative dynamical systems.

Publiceringsår

2011

Språk

Engelska

Sidor

2436-2441

Dokumenttyp

Konferensbidrag

Ämne

  • Control Engineering

Nyckelord

  • Wardrop equilibria
  • Wardrop singular perturbation theory
  • acyclic transportation network
  • cooperative dynamical systems
  • driver route choices
  • dynamical transportation networks
  • evolutionary game theory
  • indistinguishable drivers continuum
  • multiscale driver decisions
  • stability analysis
  • traffic flow dynamics
  • transportation network

Conference name

American Control Conference, 2011

Conference date

2011-06-29 - 2011-07-01

Conference place

San Francisco, California, United States

Status

Published

Forskningsgrupp

  • LCCC