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The continuous dynamic network loading problem: a mathematical formulation and solution method
8 references·15 citing·36 second hop
The continuous dynamic network loading problem: a mathematical formulation and solution method (1998)The continuous dynamic network loading pr…Properties of link travel time functions under dynamic loads (1995)Properties of link travel tim…Day-To-Day Dynamic Network Disequilibria and Idealized Traveler Information Systems (1994)Day-To-Day Dynamic Network Di…FASTEST PATHS IN TIME-DEPENDENT NETWORKS FOR INTELLIGENT VEHICLE-HIGHWAY SYSTEMS APPLICATION∗ (1993)FASTEST PATHS IN TIME-DEPENDE…A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem (1993)A Variational Inequality Form…A New Class of Instantaneous Dynamic User-Optimal Traffic Assignment Models (1993)A New Class of Instantaneous …A day-to-day and within-day dynamic stochastic assignment model (1991)A day-to-day and within-day d…Optimality Conditions for a Dynamic Traffic Assignment Model (1978)Optimality Conditions for a D…A Model and an Algorithm for the Dynamic Traffic Assignment Problems (1978)A Model and an Algorithm for …Dynamic user equilibrium with a path based cell transmission model for general traffic networks (2012)Dynamic user equilibrium with…Dynamic user equilibrium based on a hydrodynamic model (2012)Dynamic user equilibrium base…Complementarity formulations for the cell transmission model based dynamic user equilibrium with departure time choice, elastic demand and user heterogeneity (2011)Complementarity formulations …Nash Equilibria and the Price of Anarchy for Flows over Time (2010)Nash Equilibria and the Price…Approximate network loading and dual-time-scale dynamic user equilibrium (2010)Approximate network loading a…Dynamic Queuing and Spillback in Analytical Multiclass Dynamic Network Loading Model (2007)Dynamic Queuing and Spillback…Delay-function-based link models: their properties and computational issues (2005)Delay-function-based link mod…A retrospective on Beckmann, McGuire and Winsten's Studies in the Economics of Transportation (2005)A retrospective on Beckmann, …A Comparative Study of Some Macroscopic Link Models Used in Dynamic Traffic Assignment (2005)A Comparative Study of Some M…A within-day dynamic traffic assignment model for urban road networks (2004)A within-day dynamic traffic …The existence, uniqueness and computation of an arc-based dynamic network user equilibrium formulation (2002)The existence, uniqueness and…Real Cases Applications of the Fully Dynamic METROPOLIS Tool-Box: An Advocacy for Large-Scale Mesoscopic Transportation Systems (2002)Real Cases Applications of th…Dynamic Network User Equilibrium with State-Dependent Time Lags (2001)Dynamic Network User Equilibr…An approach to modelling time-varying flows on congested networks (2000)An approach to modelling time…Advances in the Continuous Dynamic Network Loading Problem (1999)Advances in the Continuous Dy…Foundations of Economic Analysis. (1948)The existence, uniqueness and stability of traffic equilibria (1979)Dynamic Processes and Equilibrium in Transportation Networks: Towards a Unifying Theory (1995)A link-based day-to-day traffic assignment model (2009)Multiclass traffic assignment model for mixed traffic flow of human-driven vehicles and connected and autonomous vehicles (2019)The Fastest Path through a Network with Random Time-Dependent Travel Times (1986)An adaptive routing algorithm for in-vehicle route guidance systems with real-time information (2001)Adaptations of the A* algorithm for the computation of fastest paths in deterministic discrete-time dynamic networks (2002)Shortest paths in stochastic networks with correlated link costs (2005)THE SCHEDULING OF CONSUMER ACTIVITIES: WORK TRIPS (1982)The stability of stochastic equilibrium in a two-link transportation network (1984)Dynamic traffic assignment for urban road networks (1991)Joint Strategy Fictitious Play With Inertia for Potential Games (2009)The impact of travel information’s accuracy on route-choice (2012)Response to Travel Information: A Behavioural Review (2015)CONGESTION THEORY AND TRANSPORT INVESTMENT (1969)Traffic Equilibrium and Variational Inequalities (1980)A cell-based variational inequality formulation of the dynamic user optimal assignment problem (2002)Modeling and solving the dynamic user equilibrium route and departure time choice problem in network with queues (2002)Urban transportation networks: Equilibrium analysis with mathematical programming methods (1986)Dynamic Network Traffic Assignment Considered as a Continuous Time Optimal Control Problem (1989)A continuous day-to-day traffic assignment model and the existence of a continuous dynamic user equilibrium (1995)Multiple user classes real-time traffic assignment for online operations: A rolling horizon solution framework (1995)System optimal and user equilibrium time-dependent traffic assignment in congested networks (1995)Traffic assignment problem for a general network (1969)Optimal Time-Varying Flows on Congested Networks (1987)Robust optimization for emergency logistics planning: Risk mitigation in humanitarian relief supply chains (2010)On the Strategic Stability of Equilibria (1986)Discrete Choice Analysis: Theory and Application to Travel Demand. (1987)Congestion pricing on a road network: A study using the dynamic equilibrium simulator METROPOLIS (2005)An investigation of commuting trip timing and mode choice in the Greater Toronto Area: Application of a joint discrete-continuous model (2009)The bottleneck model: An assessment and interpretation (2015)A predictive dynamic traffic assignment model in congested capacity-constrained road networks (2000)Quasi-variational inequality formulation of the multiclass dynamic traffic assignment problem (2003)Continuous-time point-queue models in dynamic network loading (2012)A Linear Programming Model for the Single Destination System Optimum Dynamic Traffic Assignment Problem (2000)
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References

  • 1993A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem660 cited
  • 1978A Model and an Algorithm for the Dynamic Traffic Assignment Problems632 cited
  • 1994Day-To-Day Dynamic Network Disequilibria and Idealized Traveler Information Systems403 cited
  • 1978Optimality Conditions for a Dynamic Traffic Assignment Model318 cited
  • 1991A day-to-day and within-day dynamic stochastic assignment model255 cited
  • 1993FASTEST PATHS IN TIME-DEPENDENT NETWORKS FOR INTELLIGENT VEHICLE-HIGHWAY SYSTEMS APPLICATION∗222 cited
  • 1993A New Class of Instantaneous Dynamic User-Optimal Traffic Assignment Models188 cited
  • 1995Properties of link travel time functions under dynamic loads126 cited

Cited by

  • 2002Real Cases Applications of the Fully Dynamic METROPOLIS Tool-Box: An Advocacy for Large-Scale Mesoscopic Transportation Systems129 cited
  • 1999Advances in the Continuous Dynamic Network Loading Problem127 cited
  • 2012Dynamic user equilibrium based on a hydrodynamic model118 cited
  • 2010Approximate network loading and dual-time-scale dynamic user equilibrium114 cited
  • 2000An approach to modelling time-varying flows on congested networks110 cited
  • 2001Dynamic Network User Equilibrium with State-Dependent Time Lags

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103 cited
  • 2012Dynamic user equilibrium with a path based cell transmission model for general traffic networks102 cited
  • 2007Dynamic Queuing and Spillback in Analytical Multiclass Dynamic Network Loading Model101 cited
  • 2005A Comparative Study of Some Macroscopic Link Models Used in Dynamic Traffic Assignment98 cited
  • 2005A retrospective on Beckmann, McGuire and Winsten's Studies in the Economics of Transportation89 cited
  • 2010Nash Equilibria and the Price of Anarchy for Flows over Time84 cited
  • 2011Complementarity formulations for the cell transmission model based dynamic user equilibrium with departure time choice, elastic demand and user heterogeneity83 cited
  • 2002The existence, uniqueness and computation of an arc-based dynamic network user equilibrium formulation79 cited
  • 2005Delay-function-based link models: their properties and computational issues74 cited
  • 2004A within-day dynamic traffic assignment model for urban road networks73 cited