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Convergence in a continuous dynamic queueing model for traffic networks
4 references·16 citing·39 second hop
Convergence in a continuous dynamic queueing model for traffic networks (2006)Convergence in a continuous dynamic queue…Stability of the stochastic equilibrium assignment problem: a dynamical systems approach (1999)Stability of the stochastic e…A continuous day-to-day traffic assignment model and the existence of a continuous dynamic user equilibrium (1995)A continuous day-to-day traff…The Stability of a Dynamic Model of Traffic Assignment—An Application of a Method of Lyapunov (1984)The Stability of a Dynamic Mo…A Model and an Algorithm for the Dynamic Traffic Assignment Problems (1978)A Model and an Algorithm for …Day-to-day needs-based activity-travel dynamics and equilibria in multi-state supernetworks (2019)Day-to-day needs-based activi…Computing Dynamic User Equilibria on Large-Scale Networks with Software Implementation (2019)Computing Dynamic User Equili…Instability of departure time choice problem: A case with replicator dynamics (2018)Instability of departure time…Dynamic Atomic Congestion Games with Seasonal Flows (2018)Dynamic Atomic Congestion Gam…Are We Really Solving the Dynamic Traffic Equilibrium Problem with a Departure Time Choice? (2018)Are We Really Solving the Dyn…Discrete-time day-to-day dynamic congestion pricing scheme considering multiple equilibria (2017)Discrete-time day-to-day dyna…Day-to-day dynamical model incorporating an explicit description of individuals’ information collection behaviour (2016)Day-to-day dynamical model in…A discrete dynamical system of formulating traffic assignment: Revisiting Smith’s model (2016)A discrete dynamical system o…Elastic demand dynamic network user equilibrium: Formulation, existence and computation (2015)Elastic demand dynamic networ…On the Convergence of the Method of Successive Averages for Calculating Equilibrium in Traffic Networks (2014)On the Convergence of the Met…Properties of dynamic user equilibrium solution: existence, uniqueness, stability, and robust solution methodology (2013)Properties of dynamic user eq…Multiple equilibria in a dynamic traffic network (2011)Multiple equilibria in a dyna…Competitive routing over time (2011)Competitive routing over timeRoute swapping in dynamic traffic networks (2010)Route swapping in dynamic tra…Nash Equilibria and the Price of Anarchy for Flows over Time (2010)Nash Equilibria and the Price…An analysis of instability in a departure time choice problem (2008)An analysis of instability in…The existence, uniqueness and stability of traffic equilibria (1979)Day-To-Day Dynamic Network Disequilibria and Idealized Traveler Information Systems (1994)The Dynamics and Equilibria of Day-to-Day Assignment Models (2003)Modeling the day-to-day traffic evolution process after an unexpected network disruption (2011)Boundedly rational route choice behavior: A review of models and methodologies (2016)CONGESTION THEORY AND TRANSPORT INVESTMENT (1969)A class of games possessing pure-strategy Nash equilibria (1973)Potential Games (1996)A Stackelberg strategy for routing flow over time (2013)A finite time combinatorial algorithm for instantaneous dynamic equilibrium flows (2022)An efficient approach to solving the road network equilibrium traffic assignment problem (1975)Urban transportation networks: Equilibrium analysis with mathematical programming methods (1986)Improving the Convergence of Simulation-based Dynamic Traffic Assignment Methodologies (2014)Transportation research (1975)A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem (1993)An activity-based time-dependent traffic assignment model (2001)Existence of simultaneous route and departure choice dynamic user equilibrium (2013)Link-based day-to-day network traffic dynamics and equilibria (2014)Studies in the Economics of Transportation. (1956)Algorithmic Game Theory (2007)Decentralized utilitarian mechanisms for scheduling games (2013)Dynamic Equilibria in Fluid Queueing Networks (2015)Traffic assignment problem for a general network (1969)Dynamic Network Traffic Assignment Considered as a Continuous Time Optimal Control Problem (1989)A Linear Programming Model for the Single Destination System Optimum Dynamic Traffic Assignment Problem (2000)A BEHAVIORAL MODEL OF RATIONAL CHOICE (1955)Bounded Rationality and Organizational Learning (1999)Static Traffic Assignment with Queuing: model properties and applications (2018)Link-Based System Optimum Dynamic Traffic Assignment Problems in General Networks (2019)A stochastic process approach to the analysis of temporal dynamics in transportation networks (1989)Non-cooperative games (1989)Dynamic Processes and Equilibrium in Transportation Networks: Towards a Unifying Theory (1995)Economics of a bottleneck (1990)Day-to-day evolution of departure time choice in stochastic capacity bottleneck models with bounded rationality and various information perceptions (2019)Managing bottleneck congestion with incentives (2020)Foundations of Dynamic Traffic Assignment: The Past, the Present and the Future (2001)Cross-comparison of convergence algorithms to solve trip-based dynamic traffic assignment problems (2020)Simulation-based dynamic traffic assignment: Meta-heuristic solution methods with parallel computing (2020)Dynamic user equilibrium for departure time choice in the basic trip-based model (2021)
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References

  • 1978A Model and an Algorithm for the Dynamic Traffic Assignment Problems632 cited
  • 1984The Stability of a Dynamic Model of Traffic Assignment—An Application of a Method of Lyapunov487 cited
  • 1999Stability of the stochastic equilibrium assignment problem: a dynamical systems approach184 cited
  • 1995A continuous day-to-day traffic assignment model and the existence of a continuous dynamic user equilibrium129 cited

Cited by

  • 2010Nash Equilibria and the Price of Anarchy for Flows over Time84 cited
  • 2010Route swapping in dynamic traffic networks69 cited
  • 2019Computing Dynamic User Equilibria on Large-Scale Networks with Software Implementation65 cited
  • 2015Elastic demand dynamic network user equilibrium: Formulation, existence and computation56 cited
  • 2018Are We Really Solving the Dynamic Traffic Equilibrium Problem with a Departure Time Choice?54 cited
  • 2011Competitive routing over time43 cited
  • 2013Properties of dynamic user equilibrium solution: existence, uniqueness, stability, and robust solution methodology41 cited
  • 2017Discrete-time day-to-day dynamic congestion pricing scheme considering multiple equilibria36 cited
  • 2014On the Convergence of the Method of Successive Averages for Calculating Equilibrium in Traffic Networks35 cited
  • 2011Multiple equilibria in a dynamic traffic network

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33 cited
  • 2016A discrete dynamical system of formulating traffic assignment: Revisiting Smith’s model30 cited
  • 2018Instability of departure time choice problem: A case with replicator dynamics30 cited
  • 2018Dynamic Atomic Congestion Games with Seasonal Flows30 cited
  • 2008An analysis of instability in a departure time choice problem29 cited
  • 2016Day-to-day dynamical model incorporating an explicit description of individuals’ information collection behaviour27 cited
  • 2019Day-to-day needs-based activity-travel dynamics and equilibria in multi-state supernetworks24 cited