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On the dual approach to the traffic assignment problem
11 references·16 citing·33 second hop
On the dual approach to the traffic assignment problem (1984)On the dual approach to the traffic assig…A modified Frank-Wolfe algorithm for solving the traffic assignment problem (1984)A modified Frank-Wolfe algori…Efficient Algorithms for Solving Elastic Demand Traffic Assignment Problems and Mode Split-Assignment Problems (1981)Efficient Algorithms for Solv…Optimal Traffic Assignment with Elastic Demands: A Review Part I. Analysis Framework (1980)Optimal Traffic Assignment wi…Properties of the Equilibrium State in Transportation Networks (1978)Properties of the Equilibrium…Traffic Equilibrium Methods (1976)Traffic Equilibrium MethodsDerivation and analysis of some models for combining trip distribution and assignment (1976)Derivation and analysis of so…A Unified Approach to Equilibrium Methods for Traffic Assignment (1976)A Unified Approach to Equilib…An efficient approach to solving the road network equilibrium traffic assignment problem (1975)An efficient approach to solv…A Method for Computing Network Equilibrium with Elastic Demands (1974)A Method for Computing Networ…Studies in the Economics of Transportation. (1957)Studies in the Economics of T…Studies in the Economics of Transportation. (1956)Studies in the Economics of T…Phase transitions of the price-of-anarchy function in multi-commodity routing games (2024)Phase transitions of the pric…An alternating direction method of multipliers for solving user equilibrium problem (2023)An alternating direction meth…An ADMM-based parallel algorithm for solving traffic assignment problem with elastic demand (2023)An ADMM-based parallel algori…Planning Bike Lanes with Data: Ridership, Congestion, and Path Selection (2022)Planning Bike Lanes with Data…The nonlinear equation system approach to solving dynamic user optimal simultaneous route and departure time choice problems (2015)The nonlinear equation system…Equilibrium routing under uncertainty (2015)Equilibrium routing under unc…A modified gradient projection algorithm for solving the elastic demand traffic assignment problem (2014)A modified gradient projectio…Stochastic traffic assignment, Lagrangian dual, and unconstrained convex optimization (2012)Stochastic traffic assignment…An Integrated Behavioral Model of Land Use and Transport System: A Hyper-network Equilibrium Approach (2008)An Integrated Behavioral Mode…An Efficient Method to Compute Traffic Assignment Problems with Elastic Demands (2008)An Efficient Method to Comput…Household-Mode Choice and Residential-Rent Distribution in a Metropolitan Area with Surface Road and Rail Transit Networks (2001)Household-Mode Choice and Res…A dual scheme for traffic assignment problems (1997)A dual scheme for traffic ass…A dual ascent algorithm for traffic assignment problems (1990)A dual ascent algorithm for t…OPTIMAL ROAD PRICING UNDER STOCHASTIC USER EQUILIBRIUM (1988)OPTIMAL ROAD PRICING UNDER ST…Road traffic assignment—a review (1986)Road traffic assignment—a rev…Road traffic assignment — a review (1986)Road traffic assignment — a r…Traffic assignment problem for a general network (1969)The Traffic Assignment Problem for Multiclass-User Transportation Networks (1972)Note—On the Maximization of the Geometric Mean with Lognormal Return Distribution (1974)A Dynamic Space-Time Network Flow Model for City Traffic Congestion (1987)NETWORK EQUILIBRIUM MODELS OF URBAN LOCATION AND TRAVEL CHOICES: A RETROSPECTIVE SURVEY* (1988)A Traffic Equilibrium Model of Travel by Car and Public Transit Modes (1977)A Multi-Class Multi-Mode Variable Demand Network Equilibrium Model with Hierarchical Logit Structures (2002)Is the Sequential Travel Forecasting Paradigm Counterproductive? (2002)Forecasting Travel on Congested Urban Transportation Networks: Review and Prospects for Network Equilibrium Models (2007)A statistical theory of spatial distribution models (1967)Transportation network equilibrium, design and aggregation: Key developments and research opportunities (1985)Accessibility and the journey to work (1998)A REGIONAL ECONOMY, LAND USE, AND TRANSPORTATION MODEL (RELU‐TRAN © ): FORMULATION, ALGORITHM DESIGN, AND TESTING* (2007)Economics: An Introductory Analysis. (1952)A Toll Pricing Framework for Traffic Assignment Problems with Elastic Demand (2002)Modeling variable demand equilibrium under second-best road pricing (2004)A Column Generation Algorithm for Optimal Traffic Assignment (1973)Toll Patterns for Multiclass-User Transportation Networks (1973)Network Aggregation Effects upon Equilibrium Assignment Outcomes: An Empirical Investigation (1983)Push-Pull Migration Laws (1983)Chapter 6 Network equilibrium models and algorithms (1995)Decomposition of Path Choice Entropy in General Transport Networks (1997)A class of bush-based algorithms for the traffic assignment problem (2009)On Stochastic Models of Traffic Assignment (1977)Traffic Equilibrium and Variational Inequalities (1980)Network Design and Transportation Planning: Models and Algorithms (1984)On Binary Mode Choice/Assignment Models (1983)How bad is selfish routing? (2002)How much can taxes help selfish routing? (2005)Multiagent systems: algorithmic, game-theoretic, and logical foundations (2009)Evolutionary Game Theory (2011)The existence, uniqueness and stability of traffic equilibria (1979)Foundations of Dynamic Traffic Assignment: The Past, the Present and the Future (2001)
this work references cited by second hop

References

  • 1956Studies in the Economics of Transportation.1,614 cited
  • 1957Studies in the Economics of Transportation.1,489 cited
  • 1975An efficient approach to solving the road network equilibrium traffic assignment problem796 cited
  • 1976Derivation and analysis of some models for combining trip distribution and assignment424 cited
  • 1984A modified Frank-Wolfe algorithm for solving the traffic assignment problem176 cited
  • 1980Optimal Traffic Assignment with Elastic Demands: A Review Part I. Analysis Framework85 cited
  • 1978Properties of the Equilibrium State in Transportation Networks85 cited
  • 1976Traffic Equilibrium Methods80 cited
  • 1974A Method for Computing Network Equilibrium with Elastic Demands78 cited
  • 1981Efficient Algorithms for Solving Elastic Demand Traffic Assignment Problems and Mode Split-Assignment Problems77 cited
  • 1976A Unified Approach to Equilibrium Methods for Traffic Assignment72 cited

Cited by

  • 2023An alternating direction method of multipliers for solving user equilibrium problem37 cited
  • 1990A dual ascent algorithm for traffic assignment problems36 cited
  • 2014A modified gradient projection algorithm for solving the elastic demand traffic assignment problem34 cited

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

  • 2015The nonlinear equation system approach to solving dynamic user optimal simultaneous route and departure time choice problems32 cited
  • 2008An Integrated Behavioral Model of Land Use and Transport System: A Hyper-network Equilibrium Approach29 cited
  • 2012Stochastic traffic assignment, Lagrangian dual, and unconstrained convex optimization27 cited
  • 2023An ADMM-based parallel algorithm for solving traffic assignment problem with elastic demand24 cited
  • 1997A dual scheme for traffic assignment problems22 cited
  • 2022Planning Bike Lanes with Data: Ridership, Congestion, and Path Selection21 cited
  • 2008An Efficient Method to Compute Traffic Assignment Problems with Elastic Demands20 cited
  • 2015Equilibrium routing under uncertainty14 cited
  • 1986Road traffic assignment — a review11 cited
  • 1988OPTIMAL ROAD PRICING UNDER STOCHASTIC USER EQUILIBRIUM11 cited
  • 2001Household-Mode Choice and Residential-Rent Distribution in a Metropolitan Area with Surface Road and Rail Transit Networks10 cited
  • 1986Road traffic assignment—a review9 cited
  • 2024Phase transitions of the price-of-anarchy function in multi-commodity routing games5 cited