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On the Convergence of the Method of Successive Averages for Calculating Equilibrium in Traffic Networks
12 references·8 citing·39 second hop
On the Convergence of the Method of Successive Averages for Calculating Equilibrium in Traffic Networks (2014)On the Convergence of the Method of Succe…Revisiting Jiang’s dynamic continuum model for urban cities (2013)Revisiting Jiang’s dynamic co…Route swapping in dynamic traffic networks (2010)Route swapping in dynamic tra…A class of bush-based algorithms for the traffic assignment problem (2009)A class of bush-based algorit…Method of Successive Weighted Averages (MSWA) and Self-Regulated Averaging Schemes for Solving Stochastic User Equilibrium Problem (2007)Method of Successive Weighted…Convergence in a continuous dynamic queueing model for traffic networks (2006)Convergence in a continuous d…A path-based user-equilibrium traffic assignment algorithm that obviates path storage and enumeration (2006)A path-based user-equilibrium…Solving a non-convex combined travel forecasting model by the method of successive averages with constant step sizes (2005)Solving a non-convex combined…A continuous day-to-day traffic assignment model and the existence of a continuous dynamic user equilibrium (1995)A continuous day-to-day traff…Urban transportation networks: Equilibrium analysis with mathematical programming methods (1986)Urban transportation networks…The Stability of a Dynamic Model of Traffic Assignment—An Application of a Method of Lyapunov (1984)The Stability of a Dynamic Mo…The Convergence of Equilibrium Algorithms with Predetermined Step Sizes (1982)The Convergence of Equilibriu…An efficient approach to solving the road network equilibrium traffic assignment problem (1975)An efficient approach to solv…Scalable and reliable multi-agent reinforcement learning for traffic assignment (2025)Scalable and reliable multi-a…Hyperbush Algorithm for Strategy-Based Equilibrium Traffic Assignment Problems (2022)Hyperbush Algorithm for Strat…Environmental sustainability or equity in welfare? Analysing passenger flows of a mass rapid transit system with heterogeneous demand (2022)Environmental sustainability …Incentive-based decentralized routing for connected and autonomous vehicles using information propagation (2021)Incentive-based decentralized…Computational Methods for Calculating Multimodal Multiclass Traffic Network Equilibrium: Simulation Benchmark on a Large-Scale Test Case (2021)Computational Methods for Cal…Tolerance-based strategies for extending the column generation algorithm to the bounded rational dynamic user equilibrium problem (2018)Tolerance-based strategies fo…Nonlinear relative-proportion-based route adjustment process for day-to-day traffic dynamics: modeling, equilibrium and stability analysis (2016)Nonlinear relative-proportion…A discrete dynamical system of formulating traffic assignment: Revisiting Smith’s model (2016)A discrete dynamical system o…Studies in the Economics of Transportation. (1956)Studies in the Economics of Transportation. (1957)A single-level mixed integer linear formulation for a bi-level discrete network design problem (2011)Local User Cost Equilibrium: a bush-based algorithm for traffic assignment (2012)Refueling station location problem with traffic deviation considering route choice and demand uncertainty (2017)A Stochastic Approximation Method (1951)A probabilistic multipath traffic assignment model which obviates path enumeration (1971)A General Fixed-Point Approach to Multimode Multi-User Equilibrium Assignment with Elastic Demand (1997)An equivalent continuously differentiable model and a locally convergent algorithm for the continuous network design problem (2001)Route Choice Models Used in the Stochastic User Equilibrium Problem: A Review (2004)On Stochastic Models of Traffic Assignment (1977)A Cell‐Based Model for Multi‐class Doubly Stochastic Dynamic Traffic Assignment (2011)Impact analysis of cordon-based congestion pricing on mode-split for a bimodal transportation network (2011)Multiclass traffic assignment model for mixed traffic flow of human-driven vehicles and connected and autonomous vehicles (2019)The Traffic Assignment Problem: Models and Methods (1994)A New Look at Projected Gradient Method for Equilibrium Assignment (2009)Traffic assignment by paired alternative segments (2010)A Model and an Algorithm for the Dynamic Traffic Assignment Problems (1978)Stability of the stochastic equilibrium assignment problem: a dynamical systems approach (1999)Nash Equilibria and the Price of Anarchy for Flows over Time (2010)Computing Dynamic User Equilibria on Large-Scale Networks with Software Implementation (2019)Transportation research (1975)The existence, uniqueness and stability of traffic equilibria (1979)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)A stochastic process approach to the analysis of temporal dynamics in transportation networks (1989)Non-cooperative games (1989)Day-To-Day Dynamic Network Disequilibria and Idealized Traveler Information Systems (1994)Dynamic Processes and Equilibrium in Transportation Networks: Towards a Unifying Theory (1995)Models and algorithms for road network design: a review and some new developments (1998)Foundations of Dynamic Traffic Assignment: The Past, the Present and the Future (2001)Selfish Routing and the Price of Anarchy (2016)Traffic Equilibrium and Variational Inequalities (1980)Network Design and Transportation Planning: Models and Algorithms (1984)Improving the Convergence of Simulation-based Dynamic Traffic Assignment Methodologies (2014)Elastic demand dynamic network user equilibrium: Formulation, existence and computation (2015)Are We Really Solving the Dynamic Traffic Equilibrium Problem with a Departure Time Choice? (2018)
this work references cited by second hop

References

  • 1986Urban transportation networks: Equilibrium analysis with mathematical programming methods2,352 cited
  • 1975An efficient approach to solving the road network equilibrium traffic assignment problem796 cited
  • 1984The Stability of a Dynamic Model of Traffic Assignment—An Application of a Method of Lyapunov487 cited
  • 1982The Convergence of Equilibrium Algorithms with Predetermined Step Sizes285 cited
  • 2006A path-based user-equilibrium traffic assignment algorithm that obviates path storage and enumeration261 cited
  • 2007Method of Successive Weighted Averages (MSWA) and Self-Regulated Averaging Schemes for Solving Stochastic User Equilibrium Problem239 cited
  • 2009A class of bush-based algorithms for the traffic assignment problem138 cited
  • 1995A continuous day-to-day traffic assignment model and the existence of a continuous dynamic user equilibrium129 cited
  • 2006Convergence in a continuous dynamic queueing model for traffic networks86 cited
  • 2010Route swapping in dynamic traffic networks69 cited
  • 2005Solving a non-convex combined travel forecasting model by the method of successive averages with constant step sizes68 cited
  • 2013Revisiting Jiang’s dynamic continuum model for urban cities39 cited

Cited by

  • 2016A discrete dynamical system of formulating traffic assignment: Revisiting Smith’s model30 cited

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2018
Tolerance-based strategies for extending the column generation algorithm to the bounded rational dynamic user equilibrium problem
27 cited
  • 2022Hyperbush Algorithm for Strategy-Based Equilibrium Traffic Assignment Problems22 cited
  • 2021Incentive-based decentralized routing for connected and autonomous vehicles using information propagation16 cited
  • 2021Computational Methods for Calculating Multimodal Multiclass Traffic Network Equilibrium: Simulation Benchmark on a Large-Scale Test Case15 cited
  • 2016Nonlinear relative-proportion-based route adjustment process for day-to-day traffic dynamics: modeling, equilibrium and stability analysis10 cited
  • 2025Scalable and reliable multi-agent reinforcement learning for traffic assignment8 cited
  • 2022Environmental sustainability or equity in welfare? Analysing passenger flows of a mass rapid transit system with heterogeneous demand6 cited