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Analytical Models of the Dynamic Traffic Assignment Problem
14 references·16 citing·25 second hop
Analytical Models of the Dynamic Traffic Assignment Problem (2001)Analytical Models of the Dynamic Traffic …Network Economics (1999)Network EconomicsModeling Dynamic Transportation Networks (1996)Modeling Dynamic Transportati…Dynamic Systems, Variational Inequalities and Control Theoretic Models for Predicting Time-Varying Urban Network Flows (1996)Dynamic Systems, Variational …The Traffic Assignment Problem: Models and Methods (1994)The Traffic Assignment Proble…Dynamic Urban Transportation Network Models (1994)Dynamic Urban Transportation …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 …Nonconvexity of the dynamic traffic assignment problem (1992)Nonconvexity of the dynamic t…Dynamic Network Traffic Assignment Considered as a Continuous Time Optimal Control Problem (1989)Dynamic Network Traffic Assig…Optimal Time-Varying Flows on Congested Networks (1987)Optimal Time-Varying Flows on…A Constraint Qualification for a Dynamic Traffic Assignment Model (1986)A Constraint Qualification fo…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 …Studies in the Economics of Transportation. (1956)Studies in the Economics of T…Review of Traffic Assignment and Future Challenges (2024)Review of Traffic Assignment …Bridging the user equilibrium and the system optimum in static traffic assignment: a review (2023)Bridging the user equilibrium…A methodology for scheduling within‐day roadway work zones using deep neural networks and active learning (2022)A methodology for scheduling …A mixed-equilibrium model of individual and household activity–travel choices in multimodal transportation networks (2021)A mixed-equilibrium model of …A household optimum utility approach for modeling joint activity-travel choices in congested road networks (2020)A household optimum utility a…Alleviating road network congestion: Traffic pattern optimization using Markov chain traffic assignment (2018)Alleviating road network cong…Dynamic route choice behaviour and simulation-based dynamic traffic assignment model for mixed traffic flows (2017)Dynamic route choice behaviou…Decision Support for Route Search and Optimum Finding in Transport Networks under Uncertainty (2015)Decision Support for Route Se…Bounded Rationality in Dynamic Traffic Assignment (2015)Bounded Rationality in Dynami…Extending travel-time based models for dynamic network loading and assignment, to achieve adherence to first-in-first-out and link capacities (2014)Extending travel-time based m…Properties of dynamic user equilibrium solution: existence, uniqueness, stability, and robust solution methodology (2013)Properties of dynamic user eq…Dynamic Traffic Assignment: A Survey of Mathematical Models and Techniques (2013)Dynamic Traffic Assignment: A…An origin–destination based road pricing model for static and multi-period traffic assignment problems (2013)An origin–destination based r…Dynamic Traffic Equilibrium (2007)Dynamic Traffic EquilibriumA Stimulus–Response Model of Day-to-Day Network Dynamics (2005)A Stimulus–Response Model of …Link Travel Times II: Properties Derived from Traffic-Flow Models (2004)Link Travel Times II: Propert…Studies in the Economics of Transportation. (1957)Traffic assignment problem for a general network (1969)System optimal and user equilibrium time-dependent traffic assignment in congested networks (1995)CONGESTION THEORY AND TRANSPORT INVESTMENT (1969)The existence, uniqueness and stability of traffic equilibria (1979)Traffic Equilibrium and Variational Inequalities (1980)Day-To-Day Dynamic Network Disequilibria and Idealized Traveler Information Systems (1994)Modeling and solving the dynamic user equilibrium route and departure time choice problem in network with queues (2002)An efficient approach to solving the road network equilibrium traffic assignment problem (1975)Sequential Logit Dynamic Travel Demand Model for Hurricane Evacuation (2004)Dynamic traffic assignment: A review of the methodological advances for environmentally sustainable road transportation applications (2018)Urban transportation networks: Equilibrium analysis with mathematical programming methods (1986)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)An Iterative Algorithm to Determine the Dynamic User Equilibrium in a Traffic Simulation Model (1998)A cell-based variational inequality formulation of the dynamic user optimal assignment problem (2002)A survey on networking games in telecommunications (2004)Dynamic traffic assignment for urban road networks (1991)Robust optimization for emergency logistics planning: Risk mitigation in humanitarian relief supply chains (2010)A Linear Programming Model for the Single Destination System Optimum Dynamic Traffic Assignment Problem (2000)Foundations of Dynamic Traffic Assignment: The Past, the Present and the Future (2001)The multi-class, multi-criteria traffic network equilibrium and systems optimum problem (2003)Supply chain networks with corporate social responsibility through integrated environmental decision-making (2008)Supply chain disruption risk management through strategic information acquisition and sharing and risk-sharing contracts (2010)A Supply Chain Generalized Network Oligopoly Model for Pharmaceuticals under Brand Differentiation and Perishability (2012)
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References

  • 1956Studies in the Economics of Transportation.1,614 cited
  • 1994The Traffic Assignment Problem: Models and Methods1,043 cited
  • 1993A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem660 cited
  • 1978A Model and an Algorithm for the Dynamic Traffic Assignment Problems632 cited
  • 1989Dynamic Network Traffic Assignment Considered as a Continuous Time Optimal Control Problem424 cited
  • 1999Network Economics409 cited
  • 1978Optimality Conditions for a Dynamic Traffic Assignment Model318 cited
  • 1996Modeling Dynamic Transportation Networks310 cited
  • 1987Optimal Time-Varying Flows on Congested Networks246 cited
  • 1993A New Class of Instantaneous Dynamic User-Optimal Traffic Assignment Models188 cited
  • 1992Nonconvexity of the dynamic traffic assignment problem148 cited
  • 1996Dynamic Systems, Variational Inequalities and Control Theoretic Models for Predicting Time-Varying Urban Network Flows113 cited
  • 1986A Constraint Qualification for a Dynamic Traffic Assignment Model107 cited
  • 1994Dynamic Urban Transportation Network Models67 cited

Cited by

  • 2013Properties of dynamic user equilibrium solution: existence, uniqueness, stability, and robust solution methodology

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41 cited
  • 2023Bridging the user equilibrium and the system optimum in static traffic assignment: a review37 cited
  • 2018Alleviating road network congestion: Traffic pattern optimization using Markov chain traffic assignment37 cited
  • 2007Dynamic Traffic Equilibrium31 cited
  • 2014Extending travel-time based models for dynamic network loading and assignment, to achieve adherence to first-in-first-out and link capacities26 cited
  • 2013An origin–destination based road pricing model for static and multi-period traffic assignment problems23 cited
  • 2004Link Travel Times II: Properties Derived from Traffic-Flow Models23 cited
  • 2022A methodology for scheduling within‐day roadway work zones using deep neural networks and active learning21 cited
  • 2020A household optimum utility approach for modeling joint activity-travel choices in congested road networks20 cited
  • 2024Review of Traffic Assignment and Future Challenges19 cited
  • 2005A Stimulus–Response Model of Day-to-Day Network Dynamics18 cited
  • 2021A mixed-equilibrium model of individual and household activity–travel choices in multimodal transportation networks17 cited
  • 2017Dynamic route choice behaviour and simulation-based dynamic traffic assignment model for mixed traffic flows16 cited
  • 2013Dynamic Traffic Assignment: A Survey of Mathematical Models and Techniques14 cited
  • 2015Decision Support for Route Search and Optimum Finding in Transport Networks under Uncertainty12 cited
  • 2015Bounded Rationality in Dynamic Traffic Assignment11 cited