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A model for the dynamic system optimum traffic assignment problem
7 references·16 citing·34 second hop
A model for the dynamic system optimum traffic assignment problem (1995)A model for the dynamic system optimum tr…A new dynamic traffic model and the existence and calculation of dynamic user equilibria on congested capacity-constrained road networks (1993)A new dynamic traffic model a…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 …Traffic assignment problem for a general network (1969)Traffic assignment problem fo…Joint routing and pricing control in congested mixed autonomy networks (2021)Joint routing and pricing con…Estimating multi-year 24 / 7 origin-destination demand using high-granular multi-source traffic data (2018)Estimating multi-year 24 / 7 …Green accessibility: Estimating the environmental costs of network-time prisms for sustainable transportation planning (2017)Green accessibility: Estimati…Efficient calibration techniques for large-scale traffic simulators (2017)Efficient calibration techniq…Quantifying travel time variability at a single bottleneck based on stochastic capacity and demand distributions (2016)Quantifying travel time varia…Link-based system optimum dynamic traffic assignment problems with environmental objectives (2016)Link-based system optimum dyn…Eco-system optimal time-dependent flow assignment in a congested network (2016)Eco-system optimal time-depen…Personalized real-time traffic information provision: Agent-based optimization model and solution framework (2015)Personalized real-time traffi…System optimal dynamic traffic assignment: Properties and solution procedures in the case of a many-to-one network (2014)System optimal dynamic traffi…System-optimal dynamic traffic assignment with and without queue spillback: Its path-based formulation and solution via approximate path marginal cost (2012)System-optimal dynamic traffi…Dynamic marginal cost, access control, and pollution charge: a comparison of bottleneck and whole link models (2012)Dynamic marginal cost, access…A cell-based Merchant–Nemhauser model for the system optimum dynamic traffic assignment problem (2010)A cell-based Merchant–Nemhaus…Traffic Networks: Dynamic Traffic Routing, Assignment, and Assessment (2009)Traffic Networks: Dynamic Tra…Dynamic system optimal traffic assignment – a state-dependent control theoretic approach (2009)Dynamic system optimal traffi…On the morning commute problem in a corridor network with multiple bottlenecks: Its system-optimal traffic flow patterns and the realizing tolling scheme (2008)On the morning commute proble…A reactive dynamic user equilibrium model in network with queues (2000)A reactive dynamic user equil…Studies in the Economics of Transportation. (1957)A New Class of Instantaneous Dynamic User-Optimal Traffic Assignment Models (1993)System optimal and user equilibrium time-dependent traffic assignment in congested networks (1995)An Iterative Algorithm to Determine the Dynamic User Equilibrium in a Traffic Simulation Model (1998)Studies in the Economics of Transportation. (1956)An efficient approach to solving the road network equilibrium traffic assignment problem (1975)Day-To-Day Dynamic Network Disequilibria and Idealized Traveler Information Systems (1994)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)A Linear Programming Model for the Single Destination System Optimum Dynamic Traffic Assignment Problem (2000)Continuous-time dynamic system optimum for single-destination traffic networks with queue spillbacks (2014)The existence, uniqueness and stability of traffic equilibria (1979)The Stability of a Dynamic Model of Traffic Assignment—An Application of a Method of Lyapunov (1984)Time-Dependent Traffic Equilibria (1999)Traffic equilibrium problem with route-specific costs: formulation and algorithms (2000)A dynamic schedule-based model for congested transit networks (2003)CONGESTION THEORY AND TRANSPORT INVESTMENT (1969)THE SCHEDULING OF CONSUMER ACTIVITIES: WORK TRIPS (1982)Dynamic Network User Equilibrium with State-Dependent Time Lags (2001)Large-Scale Dynamic Traffic Assignment: Implementation Issues and Computational Analysis (2004)A Comparative Study of Some Macroscopic Link Models Used in Dynamic Traffic Assignment (2005)A Proof for the Queuing Formula: L = λ W (1961)Multivariate stochastic approximation using a simultaneous perturbation gradient approximation (1992)The Multi-Agent Transport Simulation MATSim (2016)Bayesian optimization techniques for high-dimensional simulation-based transportation problems (2022)A two-stage stochastic programming approach for dynamic OD estimation using LBSN data (2023)Managing network congestion with link-based incentives: A surrogate-based optimization approach (2024)A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem (1993)Multi-agent reinforcement learning for Markov routing games: A new modeling paradigm for dynamic traffic assignment (2022)A probabilistic multipath traffic assignment model which obviates path enumeration (1971)Traffic Equilibrium and Variational Inequalities (1980)The complexity of pure Nash equilibria (2004)Dynamic traffic assignment for urban road networks (1991)Robust optimization for emergency logistics planning: Risk mitigation in humanitarian relief supply chains (2010)
this work references cited by second hop

References

  • 1969Traffic assignment problem for a general network688 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
  • 1978Optimality Conditions for a Dynamic Traffic Assignment Model318 cited
  • 1987Optimal Time-Varying Flows on Congested Networks246 cited
  • 1993A new dynamic traffic model and the existence and calculation of dynamic user equilibria on congested capacity-constrained road networks170 cited
  • 1986A Constraint Qualification for a Dynamic Traffic Assignment Model107 cited

Cited by

  • 2017Efficient calibration techniques for large-scale traffic simulators73 cited
  • 2012System-optimal dynamic traffic assignment with and without queue spillback: Its path-based formulation and solution via approximate path marginal cost70 cited
  • 2010A cell-based Merchant–Nemhauser model for the system optimum dynamic traffic assignment problem70 cited
  • 2016Link-based system optimum dynamic traffic assignment problems with environmental objectives63 cited
  • 2015Personalized real-time traffic information provision: Agent-based optimization model and solution framework60 cited
  • 2018Estimating multi-year 24 / 7 origin-destination demand using high-granular multi-source traffic data58 cited

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2016
Eco-system optimal time-dependent flow assignment in a congested network
55 cited
  • 2000A reactive dynamic user equilibrium model in network with queues48 cited
  • 2021Joint routing and pricing control in congested mixed autonomy networks46 cited
  • 2008On the morning commute problem in a corridor network with multiple bottlenecks: Its system-optimal traffic flow patterns and the realizing tolling scheme44 cited
  • 2014System optimal dynamic traffic assignment: Properties and solution procedures in the case of a many-to-one network41 cited
  • 2012Dynamic marginal cost, access control, and pollution charge: a comparison of bottleneck and whole link models40 cited
  • 2009Dynamic system optimal traffic assignment – a state-dependent control theoretic approach37 cited
  • 2009Traffic Networks: Dynamic Traffic Routing, Assignment, and Assessment36 cited
  • 2016Quantifying travel time variability at a single bottleneck based on stochastic capacity and demand distributions34 cited
  • 2017Green accessibility: Estimating the environmental costs of network-time prisms for sustainable transportation planning31 cited