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Continuum modelling of spatial and dynamic equilibrium in a travel corridor with heterogeneous commuters—A partial differential complementarity system approach
16 references·12 citing·41 second hop
Continuum modelling of spatial and dynamic equilibrium in a travel corridor with heterogeneous commuters—A partial differential complementarity system approach (2016)Continuum modelling of spatial and dynami…Continuum modeling of park-and-ride services considering travel time reliability and heterogeneous commuters – A linear complementarity system approach (2014)Continuum modeling of park-an…Reliability-Based Modeling of Park-and-Ride Service on Linear Travel Corridor (2013)Reliability-Based Modeling of…On the morning commute problem with bottleneck congestion and parking space constraints (2013)On the morning commute proble…Existence of simultaneous route and departure choice dynamic user equilibrium (2013)Existence of simultaneous rou…Bounded-rationality based day-to-day evolution model for travel behavior analysis of urban railway network (2013)Bounded-rationality based day…A partial differential equation formulation of Vickrey’s bottleneck model, part II: Numerical analysis and computation (2013)A partial differential equati…Morning commute with competing modes and distributed demand: User equilibrium, system optimum, and pricing (2012)Morning commute with competin…Modeling and solving continuous-time instantaneous dynamic user equilibria: A differential complementarity systems approach (2012)Modeling and solving continuo…Continuous-time point-queue models in dynamic network loading (2012)Continuous-time point-queue m…The corridor problem: Preliminary results on the no-toll equilibrium (2011)The corridor problem: Prelimi…Complementarity formulations for the cell transmission model based dynamic user equilibrium with departure time choice, elastic demand and user heterogeneity (2011)Complementarity formulations …A continuous-time linear complementarity system for dynamic user equilibria in single bottleneck traffic flows (2011)A continuous-time linear comp…Morning commute problem considering route choice, user heterogeneity and alternative system optima (2010)Morning commute problem consi…Departure time and route choice for the morning commute (1990)Departure time and route choi…The Morning Commute for Nonidentical Travelers (1987)The Morning Commute for Nonid…CONGESTION THEORY AND TRANSPORT INVESTMENT (1969)CONGESTION THEORY AND TRANSPO…The corridor problem: More comprehensive results on the no-toll equilibrium (2025)The corridor problem: More co…An optimal multi-objective dynamic traffic guidance approach based on dynamic traffic assignment (2024)An optimal multi-objective dy…Dynamic traffic assignment in a corridor network: Optimum versus equilibrium (2022)Dynamic traffic assignment in…A double time-scale passenger assignment model for high-speed railway networks with continuum capacity approximation (2021)A double time-scale passenger…Dynamic route and departure time choice model based on self-adaptive reference point and reinforcement learning (2018)Dynamic route and departure t…A dynamic taxi traffic assignment model: A two-level continuum transportation system approach (2017)A dynamic taxi traffic assign…Overcoming the Downs-Thomson Paradox by transit subsidy policies (2016)Overcoming the Downs-Thomson …Optimal urban development density along a multimodal linear travel corridor with time–distance toll scheme (2016)Optimal urban development den…Financial sustainability of rail transit service: The effect of urban development pattern (2016)Financial sustainability of r…Equilibrium trip scheduling in single bottleneck traffic flows considering multi-class travellers and uncertainty – a complementarity formulation (2016)Equilibrium trip scheduling i…Braess Paradox of traffic networks with mixed equilibrium behaviors (2016)Braess Paradox of traffic net…A stochastic process traffic assignment model considering stochastic traffic demand (2016)A stochastic process traffic …The Stability of a Dynamic Model of Traffic Assignment—An Application of a Method of Lyapunov (1984)Urban transportation networks: Equilibrium analysis with mathematical programming methods (1986)Detecting long-range correlations with detrended fluctuation analysis (2001)Physics of day-to-day network flow dynamics (2016)Exploration of day-to-day route choice models by a virtual experiment (2017)Surrogate-based simulation optimization approach for day-to-day dynamics model calibration with real data (2019)The value of time and reliability: measurement from a value pricing experiment (2001)Network with degradable links: capacity analysis and design (2003)Degradable transport network: Travel time budget of travelers with heterogeneous risk aversion (2005)Integrated planning of park-and-ride facilities and transit service (2016)Analyzing Customized Bus Service on a Multimodal Travel Corridor: An Analytical Modeling Approach (2017)Large-scale multimodal transportation network models and algorithms-Part I: The combined mode split and traffic assignment problem (2022)Economics of a bottleneck (1990)A Structural Model of Peak-Period Congestion: A Traffic Bottleneck with Elastic Demand (1993)Modeling the morning commute for urban networks with cruising-for-parking: An MFD approach (2016)An equilibrium analysis of commuter parking in the era of autonomous vehicles (2018)Fifty years of the bottleneck model: A bibliometric review and future research directions (2020)A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem (1993)Partial Differential Equations (2010)The mathematical foundations of dynamic user equilibrium (2018)Computing Dynamic User Equilibria on Large-Scale Networks with Software Implementation (2019)The Economics of Welfare (1933)THE SCHEDULING OF CONSUMER ACTIVITIES: WORK TRIPS (1982)Congestion Pricing and Capacity of Large Hub Airports: A Bottleneck Model with Stochastic Queues (1995)Optimal road tolls under conditions of queueing and congestion (1996)Modeling and solving the dynamic user equilibrium route and departure time choice problem in network with queues (2002)Foundations of Dynamic Traffic Assignment: The Past, the Present and the Future (2001)On the holding-back problem in the cell transmission based dynamic traffic assignment models (2012)Elastic demand dynamic network user equilibrium: Formulation, existence and computation (2015)Structure of competitive transit networks (2009)On the distribution of urban road space for multimodal congested networks (2013)Time-dependent area-based pricing for multimodal systems with heterogeneous users in an agent-based environment (2015)Schedule Delay and Departure Time Decisions in a Deterministic Model (1981)The Uniqueness of a Time-dependent Equilibrium Distribution of Arrivals at a Single Bottleneck (1985)The impact of adverse weather conditions on the propensity to change travel decisions: A survey of Brussels commuters (1997)Managing bottleneck congestion with tradable credits (2013)Managing rush hour travel choices with tradable credit scheme (2013)Link-based system optimum dynamic traffic assignment problems with environmental objectives (2016)Multi-agent reinforcement learning for Markov routing games: A new modeling paradigm for dynamic traffic assignment (2022)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
  • 1990Departure time and route choice for the morning commute327 cited
  • 2013On the morning commute problem with bottleneck congestion and parking space constraints195 cited
  • 1987The Morning Commute for Nonidentical Travelers175 cited
  • 2012Morning commute with competing modes and distributed demand: User equilibrium, system optimum, and pricing146 cited
  • 2012Continuous-time point-queue models in dynamic network loading101 cited
  • 2013Existence of simultaneous route and departure choice dynamic user equilibrium93 cited
  • 2011Complementarity formulations for the cell transmission model based dynamic user equilibrium with departure time choice, elastic demand and user heterogeneity83 cited
  • 2014Continuum modeling of park-and-ride services considering travel time reliability and heterogeneous commuters – A linear complementarity system approach77 cited
  • 2013Bounded-rationality based day-to-day evolution model for travel behavior analysis of urban railway network76 cited
  • 2010Morning commute problem considering route choice, user heterogeneity and alternative system optima71 cited
  • 2013A partial differential equation formulation of Vickrey’s bottleneck model, part II: Numerical analysis and computation62 cited
  • 2012Modeling and solving continuous-time instantaneous dynamic user equilibria: A differential complementarity systems approach54 cited

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  • 2011The corridor problem: Preliminary results on the no-toll equilibrium51 cited
  • 2011A continuous-time linear complementarity system for dynamic user equilibria in single bottleneck traffic flows46 cited
  • 2013Reliability-Based Modeling of Park-and-Ride Service on Linear Travel Corridor36 cited
  • Cited by

    • 2017A dynamic taxi traffic assignment model: A two-level continuum transportation system approach29 cited
    • 2016Overcoming the Downs-Thomson Paradox by transit subsidy policies27 cited
    • 2018Dynamic route and departure time choice model based on self-adaptive reference point and reinforcement learning19 cited
    • 2016Equilibrium trip scheduling in single bottleneck traffic flows considering multi-class travellers and uncertainty – a complementarity formulation15 cited
    • 2021A double time-scale passenger assignment model for high-speed railway networks with continuum capacity approximation14 cited
    • 2016Financial sustainability of rail transit service: The effect of urban development pattern14 cited
    • 2022Dynamic traffic assignment in a corridor network: Optimum versus equilibrium12 cited
    • 2016Braess Paradox of traffic networks with mixed equilibrium behaviors11 cited
    • 2016A stochastic process traffic assignment model considering stochastic traffic demand10 cited
    • 2024An optimal multi-objective dynamic traffic guidance approach based on dynamic traffic assignment6 cited
    • 2016Optimal urban development density along a multimodal linear travel corridor with time–distance toll scheme5 cited
    • 2025The corridor problem: More comprehensive results on the no-toll equilibrium4 cited