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A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem
4 references·16 citing·36 second hop
A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem (1993)A Variational Inequality Formulation of t…Traffic Equilibrium and Variational Inequalities (1980)Traffic Equilibrium and Varia…The existence, uniqueness and stability of traffic equilibria (1979)The existence, uniqueness and…A Model and an Algorithm for the Dynamic Traffic Assignment Problems (1978)A Model and an Algorithm for …CONGESTION THEORY AND TRANSPORT INVESTMENT (1969)CONGESTION THEORY AND TRANSPO…Dynamic traffic assignment: A review of the methodological advances for environmentally sustainable road transportation applications (2018)Dynamic traffic assignment: A…Proactive Vehicular Traffic Rerouting for Lower Travel Time (2013)Proactive Vehicular Traffic R…Equilibria of dynamic games with many players: Existence, approximation, and market structure (2013)Equilibria of dynamic games w…Day-to-day stationary link flow pattern (2008)Day-to-day stationary link fl…DYNAMIC TRAFFIC ASSIGNMENT: PROPERTIES AND EXTENSIONS (2006)DYNAMIC TRAFFIC ASSIGNMENT: P…A path-based user-equilibrium traffic assignment algorithm that obviates path storage and enumeration (2006)A path-based user-equilibrium…System-Optimal Routing of Traffic Flows with User Constraints in Networks with Congestion (2005)System-Optimal Routing of Tra…A cell-based simultaneous route and departure time choice model with elastic demand (2003)A cell-based simultaneous rou…Modeling and solving the dynamic user equilibrium route and departure time choice problem in network with queues (2002)Modeling and solving the dyna…A cell-based variational inequality formulation of the dynamic user optimal assignment problem (2002)A cell-based variational ineq…Traffic equilibrium problem with route-specific costs: formulation and algorithms (2000)Traffic equilibrium problem w…An Iterative Algorithm to Determine the Dynamic User Equilibrium in a Traffic Simulation Model (1998)An Iterative Algorithm to Det…Bicriterion Traffic Assignment: Basic Theory and Elementary Algorithms (1996)Bicriterion Traffic Assignmen…System optimal and user equilibrium time-dependent traffic assignment in congested networks (1995)System optimal and user equil…Multiple user classes real-time traffic assignment for online operations: A rolling horizon solution framework (1995)Multiple user classes real-ti…Day-To-Day Dynamic Network Disequilibria and Idealized Traveler Information Systems (1994)Day-To-Day Dynamic Network Di…Foundations of Economic Analysis. 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(1957)Optimal strategies: A new assignment model for transit networks (1989)Foundations of Dynamic Traffic Assignment: The Past, the Present and the Future (2001)Selfish Routing and the Price of Anarchy (2016)Urban transportation networks: Equilibrium analysis with mathematical programming methods (1986)Handbooks in operations research and management science (1989)The Traffic Assignment Problem: Models and Methods (1994)THE SCHEDULING OF CONSUMER ACTIVITIES: WORK TRIPS (1982)Departure time and route choice for the morning commute (1990)Existence, Uniqueness, and Trip Cost Function Properties of User Equilibrium in the Bottleneck Model with Multiple User Classes (2004)Über ein Paradoxon aus der Verkehrsplanung (1968)Modeling Dynamic Transportation Networks (1996)An Agent-Based Microsimulation Model of Swiss Travel: First Results (2003)An improved framework for large-scale multi-agent simulations of travel behaviour (2006)Agent-based simulation of travel demand: Structure and computational performance of MATSim-T (2008)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)The path most traveled: Travel demand estimation using big data resources (2015)An efficient approach to solving the road network equilibrium traffic assignment problem (1975)An Efficient Method for Computing Traffic Equilibria in Networks with Asymmetric Transportation Costs (1984)Equilibrium traffic assignment for large scale transit networks (1988)A class of bush-based algorithms for the traffic assignment problem (2009)A New Look at Projected Gradient Method for Equilibrium Assignment (2009)Traffic assignment by paired alternative segments (2010)Compromising system and user interests in shelter location and evacuation planning (2014)Inequity averse optimization in operational research (2015)Economics of a bottleneck (1990)The valuation of reliability for personal travel (2001)The Economics of Urban Transportation (2007)
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References

  • 1969CONGESTION THEORY AND TRANSPORT INVESTMENT1,981 cited
  • 1980Traffic Equilibrium and Variational Inequalities931 cited
  • 1979The existence, uniqueness and stability of traffic equilibria857 cited
  • 1978A Model and an Algorithm for the Dynamic Traffic Assignment Problems632 cited

Cited by

  • 1994Day-To-Day Dynamic Network Disequilibria and Idealized Traveler Information Systems403 cited
  • 2002A cell-based variational inequality formulation of the dynamic user optimal assignment problem293 cited
  • 2002Modeling and solving the dynamic user equilibrium route and departure time choice problem in network with queues273 cited
  • 2006A path-based user-equilibrium traffic assignment algorithm that obviates path storage and enumeration261 cited
  • 2005System-Optimal Routing of Traffic Flows with User Constraints in Networks with Congestion255 cited
  • 1998An Iterative Algorithm to Determine the Dynamic User Equilibrium in a Traffic Simulation Model212 cited
  • 2018Dynamic traffic assignment: A review of the methodological advances for environmentally sustainable road transportation applications207 cited
  • 2006DYNAMIC TRAFFIC ASSIGNMENT: PROPERTIES AND EXTENSIONS202 cited
  • 2003A cell-based simultaneous route and departure time choice model with elastic demand198 cited
  • 1995

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Multiple user classes real-time traffic assignment for online operations: A rolling horizon solution framework
191 cited
  • 1995System optimal and user equilibrium time-dependent traffic assignment in congested networks178 cited
  • 2000Traffic equilibrium problem with route-specific costs: formulation and algorithms168 cited
  • 2013Proactive Vehicular Traffic Rerouting for Lower Travel Time151 cited
  • 2008Day-to-day stationary link flow pattern142 cited
  • 2013Equilibria of dynamic games with many players: Existence, approximation, and market structure142 cited
  • 1996Bicriterion Traffic Assignment: Basic Theory and Elementary Algorithms133 cited