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Reformulating the traffic equilibrium problem via a smooth gap function
16 references·16 citing·27 second hopsampled
Reformulating the traffic equilibrium problem via a smooth gap function (2000)Reformulating the traffic equilibrium pro…Traffic equilibrium problem with route-specific costs: formulation and algorithms (2000)Traffic equilibrium problem w…The Traffic Equilibrium Problem with Nonadditive Path Costs (1997)The Traffic Equilibrium Probl…Stochastic User Equilibrium Assignment with Explicit Path Enumeration: Comparison of Models and Algorithms (1997)Stochastic User Equilibrium A…Modeling Dynamic Transportation Networks (1996)Modeling Dynamic Transportati…The Traffic Assignment Problem: Models and Methods (1994)The Traffic Assignment Proble…Network economics: a variational inequality approach (1994)Network economics: a variatio…A FASTER PATH-BASED ALGORITHM FOR TRAFFIC ASSIGNMENT (1994)A FASTER PATH-BASED ALGORITHM…A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem (1993)A Variational Inequality Form…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…Handbooks in operations research and management science (1989)Handbooks in operations resea…Urban transportation networks: Equilibrium analysis with mathematical programming methods (1986)Urban transportation networks…An Efficient Method for Computing Traffic Equilibria in Networks with Asymmetric Transportation Costs (1984)An Efficient Method for Compu…The existence and calculation of traffic equilibria (1983)The existence and calculation…The multi-modal traffic assignment problem (1981)The multi-modal traffic assig…Traffic Equilibrium and Variational Inequalities (1980)Traffic Equilibrium and Varia…An efficient approach to solving the road network equilibrium traffic assignment problem (1975)An efficient approach to solv…Routing of multi-modal autonomous vehicles for system optimal flows and average travel cost equilibrium over time (2024)Routing of multi-modal autono…Routing of autonomous vehicles for system optimal flows and average travel time equilibrium over time (2022)Routing of autonomous vehicle…A new network equilibrium flow model: User-equilibrium with quantity adjustment (2022)A new network equilibrium flo…Non-additive shortest path in the context of traffic assignment (2018)Non-additive shortest path in…Multi-scenario optimization approach for assessing the impacts of advanced traffic information under realistic stochastic capacity distributions (2017)Multi-scenario optimization a…The valuation of travel time reliability: does congestion matter? (2016)The valuation of travel time …Demand Profiling for Dynamic Traffic Assignment by Integrating Departure Time Choice and Trip Distribution (2015)Demand Profiling for Dynamic …Improving the Convergence of Simulation-based Dynamic Traffic Assignment Methodologies (2014)Improving the Convergence of …On joint railway and housing development strategy (2013)On joint railway and housing …A general unconstrained optimization formulation for the combined distribution and assignment problem (2013)A general unconstrained optim…Modeling transport management and land use over time (2012)Modeling transport management…Incorporating transfer reliability into equilibrium analysis of railway passenger flow (2012)Incorporating transfer reliab…Modeling Physical and Environmental Side Constraints in Traffic Equilibrium Problem (2011)Modeling Physical and Environ…Reliability-based Dynamic Network Design with Stochastic Networks (2009)Reliability-based Dynamic Net…Sensitivity Analysis of Logit‐Based Stochastic User Equilibrium Network Flows with Entry–Exit Toll Schemes (2008)Sensitivity Analysis of Logit…Combined Modal Split and Stochastic Assignment Model for Congested Networks with Motorized and Nonmotorized Transport Modes (2003)Combined Modal Split and Stoc…Studies in the Economics of Transportation. (1956)Studies in the Economics of Transportation. (1957)On Stochastic Models of Traffic Assignment (1977)Network Design and Transportation Planning: Models and Algorithms (1984)CONGESTION THEORY AND TRANSPORT INVESTMENT (1969)The existence, uniqueness and stability of traffic equilibria (1979)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)Traffic assignment problem for a general network (1969)A Traffic Equilibrium Model of Travel by Car and Public Transit Modes (1977)Simplicial Decomposition with Disaggregated Representation for the Traffic Assignment Problem (1992)Models and algorithms for the traffic assignment problem with link capacity constraints (2003)Traffic assignment by paired alternative segments (2010)Closed-Loop Supply Chain Models with Product Remanufacturing (2004)Investor Sentiment and the Cross‐Section of Stock Returns (2006)Perspectives in supply chain risk management (2006)A cell-based variational inequality formulation of the dynamic user optimal assignment problem (2002)A survey on networking games in telecommunications (2004)Sequential Logit Dynamic Travel Demand Model for Hurricane Evacuation (2004)Models and algorithms for road network design: a review and some new developments (1998)Foundations of Dynamic Traffic Assignment: The Past, the Present and the Future (2001)Selfish Routing and the Price of Anarchy (2016)The multi-class, multi-criteria traffic network equilibrium and systems optimum problem (2003)Competitive Food Supply Chain Networks with Application to Fresh Produce (2012)Equilibrium traffic assignment for large scale transit networks (1988)Transit Assignment for Congested Public Transport Systems: An Equilibrium Model (1993)Network with degradable links: capacity analysis and design (2003)
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References

  • 1989Handbooks in operations research and management science2,388 cited
  • 1986Urban transportation networks: Equilibrium analysis with mathematical programming methods2,352 cited
  • 1994The Traffic Assignment Problem: Models and Methods1,043 cited
  • 1994Network economics: a variational inequality approach971 cited
  • 1980Traffic Equilibrium and Variational Inequalities931 cited
  • 1975An efficient approach to solving the road network equilibrium traffic assignment problem796 cited
  • 1993A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem660 cited
  • 1984An Efficient Method for Computing Traffic Equilibria in Networks with Asymmetric Transportation Costs440 cited
  • 1996Modeling Dynamic Transportation Networks310 cited
  • 1994A FASTER PATH-BASED ALGORITHM FOR TRAFFIC ASSIGNMENT205 cited
  • 1993A new dynamic traffic model and the existence and calculation of dynamic user equilibria on congested capacity-constrained road networks170 cited
  • 2000Traffic equilibrium problem with route-specific costs: formulation and algorithms168 cited
  • 1997The Traffic Equilibrium Problem with Nonadditive Path Costs165 cited
  • 1981The multi-modal traffic assignment problem107 cited
  • 1983

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The existence and calculation of traffic equilibria
106 cited
  • 1997Stochastic User Equilibrium Assignment with Explicit Path Enumeration: Comparison of Models and Algorithms64 cited
  • Cited by

    • 2011Modeling Physical and Environmental Side Constraints in Traffic Equilibrium Problem57 cited
    • 2014Improving the Convergence of Simulation-based Dynamic Traffic Assignment Methodologies54 cited
    • 2003Combined Modal Split and Stochastic Assignment Model for Congested Networks with Motorized and Nonmotorized Transport Modes43 cited
    • 2012Modeling transport management and land use over time41 cited
    • 2016The valuation of travel time reliability: does congestion matter?33 cited
    • 2013A general unconstrained optimization formulation for the combined distribution and assignment problem32 cited
    • 2013On joint railway and housing development strategy30 cited
    • 2017Multi-scenario optimization approach for assessing the impacts of advanced traffic information under realistic stochastic capacity distributions21 cited
    • 2012Incorporating transfer reliability into equilibrium analysis of railway passenger flow20 cited
    • 2008Sensitivity Analysis of Logit‐Based Stochastic User Equilibrium Network Flows with Entry–Exit Toll Schemes16 cited
    • 2022Routing of autonomous vehicles for system optimal flows and average travel time equilibrium over time15 cited
    • 2018Non-additive shortest path in the context of traffic assignment15 cited
    • 2015Demand Profiling for Dynamic Traffic Assignment by Integrating Departure Time Choice and Trip Distribution14 cited
    • 2022A new network equilibrium flow model: User-equilibrium with quantity adjustment13 cited
    • 2009Reliability-based Dynamic Network Design with Stochastic Networks13 cited
    • 2024Routing of multi-modal autonomous vehicles for system optimal flows and average travel cost equilibrium over time12 cited