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A modified gradient projection algorithm for solving the elastic demand traffic assignment problem
16 references·15 citing·34 second hop
A modified gradient projection algorithm for solving the elastic demand traffic assignment problem (2014)A modified gradient projection algorithm …A self-adaptive gradient projection algorithm for the nonadditive traffic equilibrium problem (2011)A self-adaptive gradient proj…C-logit stochastic user equilibrium model: formulations and solution algorithm (2010)C-logit stochastic user equil…Method of Successive Weighted Averages (MSWA) and Self-Regulated Averaging Schemes for Solving Stochastic User Equilibrium Problem (2007)Method of Successive Weighted…Convergence of Traffic Assignments: How Much is Enough? (2003)Convergence of Traffic Assign…Computational study of state-of-the-art path-based traffic assignment algorithms (2002)Computational study of state-…A General Fixed-Point Approach to Multimode Multi-User Equilibrium Assignment with Elastic Demand (1997)A General Fixed-Point Approac…The Traffic Assignment Problem: Models and Methods (1994)The Traffic Assignment Proble…A FASTER PATH-BASED ALGORITHM FOR TRAFFIC ASSIGNMENT (1994)A FASTER PATH-BASED ALGORITHM…Urban transportation networks: Equilibrium analysis with mathematical programming methods (1986)Urban transportation networks…The general multimodal network equilibrium problem with elastic demand (1982)The general multimodal networ…The multi-modal traffic assignment problem (1981)The multi-modal traffic assig…Optimal Traffic Assignment with Elastic Demands: A Review Part II. Algorithmic Approaches (1980)Optimal Traffic Assignment wi…Optimal Traffic Assignment with Elastic Demands: A Review Part I. Analysis Framework (1980)Optimal Traffic Assignment wi…Traffic assignment problem for a general network (1969)Traffic assignment problem fo…Studies in the Economics of Transportation. (1957)Studies in the Economics of T…Studies in the Economics of Transportation. (1956)Studies in the Economics of T…On endogenously distinguishing inactive paths in stochastic user equilibrium: A convex programming approach with a truncated path choice model (2024)On endogenously distinguishin…Elastic-demand bi-criteria traffic assignment under the continuously distributed value of time: A two-stage gradient projection algorithm with graphical interpretations (2024)Elastic-demand bi-criteria tr…An ADMM-based parallel algorithm for solving traffic assignment problem with elastic demand (2023)An ADMM-based parallel algori…A customized two-stage parallel computing algorithm for solving the combined modal split and traffic assignment problem (2023)A customized two-stage parall…Solving a Multi-Class Traffic Assignment Model with Mixed Modes (2022)Solving a Multi-Class Traffic…Sensitivity analysis for transit equilibrium assignment and applications to uncertainty analysis (2022)Sensitivity analysis for tran…Modifying link capacity to avoid Braess Paradox considering elastic demand (2022)Modifying link capacity to av…Modeling the α-max capacity of transportation networks: a single-level mathematical programming formulation (2021)Modeling the α-max capacity o…Heterogeneous Traffic Information Provision on Road Networks with Competitive or Cooperative Information Providers (2021)Heterogeneous Traffic Informa…A multiple-path gradient projection method for solving the logit-based stochastic user equilibrium model (2020)A multiple-path gradient proj…The Combined Distribution and Assignment Model: A New Solution Algorithm and Its Applications in Travel Demand Forecasting for Modern Urban Transportation (2019)The Combined Distribution and…Pricing and equity in cross-regional green supply chains (2019)Pricing and equity in cross-r…A computational study of path-based methods for optimal traffic assignment with both inelastic and elastic demand (2018)A computational study of path…A convergent and fast path equilibration algorithm for the traffic assignment problem (2017)A convergent and fast path eq…Elastic demand with weibit stochastic user equilibrium flows and application in a motorised and non-motorised network (2014)Elastic demand with weibit st…A Stochastic Approximation Method (1951)On Stochastic Models of Traffic Assignment (1977)A Cell‐Based Model for Multi‐class Doubly Stochastic Dynamic Traffic Assignment (2011)Impact analysis of cordon-based congestion pricing on mode-split for a bimodal transportation network (2011)Multiclass traffic assignment model for mixed traffic flow of human-driven vehicles and connected and autonomous vehicles (2019)Traffic Equilibrium and Variational Inequalities (1980)A stochastic transit assignment model considering differences in passengers utility functions (2000)Existence, Uniqueness, and Trip Cost Function Properties of User Equilibrium in the Bottleneck Model with Multiple User Classes (2004)Trip matrix and path flow reconstruction and estimation based on plate scanning and link observations (2007)MODELING THE CHOICE OF RESIDENTIAL LOCATION (1978)Discrete Choice Analysis: Theory and Application to Travel Demand. (1987)Discrete choice analysis: Theory and application to travel demand (1988)Examining the scaling effect and overlapping problem in logit-based stochastic user equilibrium models (2012)A path-size weibit stochastic user equilibrium model (2013)Optimal joint distance and time toll for cordon-based congestion pricing (2014)A Traffic Equilibrium Model of Travel by Car and Public Transit Modes (1977)Simplicial Decomposition with Disaggregated Representation for the Traffic Assignment Problem (1992)Traffic equilibrium problem with route-specific costs: formulation and algorithms (2000)Models and algorithms for the traffic assignment problem with link capacity constraints (2003)Traffic assignment by paired alternative segments (2010)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)A probabilistic multipath traffic assignment model which obviates path enumeration (1971)The complexity of pure Nash equilibria (2004)Multiagent systems: algorithmic, game-theoretic, and logical foundations (2009)Evolutionary Game Theory (2011)Transportation network equilibrium, design and aggregation: Key developments and research opportunities (1985)Bilevel programming in traffic planning: Models, methods and challenge (1995)Solving Congestion Toll Pricing Models (1998)The multi-class, multi-criteria traffic network equilibrium and systems optimum problem (2003)A survey on networking games in telecommunications (2004)An efficient approach to solving the road network equilibrium traffic assignment problem (1975)The existence, uniqueness and stability of traffic equilibria (1979)
this work references cited by second hop

References

  • 1986Urban transportation networks: Equilibrium analysis with mathematical programming methods2,352 cited
  • 1956Studies in the Economics of Transportation.1,614 cited
  • 1957Studies in the Economics of Transportation.1,489 cited
  • 1994The Traffic Assignment Problem: Models and Methods1,043 cited
  • 1969Traffic assignment problem for a general network688 cited
  • 1997A General Fixed-Point Approach to Multimode Multi-User Equilibrium Assignment with Elastic Demand259 cited
  • 1982The general multimodal network equilibrium problem with elastic demand243 cited
  • 2007Method of Successive Weighted Averages (MSWA) and Self-Regulated Averaging Schemes for Solving Stochastic User Equilibrium Problem239 cited
  • 1994A FASTER PATH-BASED ALGORITHM FOR TRAFFIC ASSIGNMENT205 cited
  • 2010C-logit stochastic user equilibrium model: formulations and solution algorithm154 cited
  • 2003Convergence of Traffic Assignments: How Much is Enough?126 cited
  • 2002Computational study of state-of-the-art path-based traffic assignment algorithms113 cited
  • 1981The multi-modal traffic assignment problem107 cited
  • 1980Optimal Traffic Assignment with Elastic Demands: A Review Part II. Algorithmic Approaches90 cited
  • 1980

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Optimal Traffic Assignment with Elastic Demands: A Review Part I. Analysis Framework
85 cited
  • 2011A self-adaptive gradient projection algorithm for the nonadditive traffic equilibrium problem81 cited
  • Cited by

    • 2019Pricing and equity in cross-regional green supply chains40 cited
    • 2023A customized two-stage parallel computing algorithm for solving the combined modal split and traffic assignment problem33 cited
    • 2014Elastic demand with weibit stochastic user equilibrium flows and application in a motorised and non-motorised network29 cited
    • 2023An ADMM-based parallel algorithm for solving traffic assignment problem with elastic demand24 cited
    • 2017A convergent and fast path equilibration algorithm for the traffic assignment problem24 cited
    • 2022Sensitivity analysis for transit equilibrium assignment and applications to uncertainty analysis23 cited
    • 2024On endogenously distinguishing inactive paths in stochastic user equilibrium: A convex programming approach with a truncated path choice model20 cited
    • 2018A computational study of path-based methods for optimal traffic assignment with both inelastic and elastic demand17 cited
    • 2021Heterogeneous Traffic Information Provision on Road Networks with Competitive or Cooperative Information Providers15 cited
    • 2019The Combined Distribution and Assignment Model: A New Solution Algorithm and Its Applications in Travel Demand Forecasting for Modern Urban Transportation13 cited
    • 2024Elastic-demand bi-criteria traffic assignment under the continuously distributed value of time: A two-stage gradient projection algorithm with graphical interpretations12 cited
    • 2022Modifying link capacity to avoid Braess Paradox considering elastic demand8 cited
    • 2020A multiple-path gradient projection method for solving the logit-based stochastic user equilibrium model6 cited
    • 2021Modeling the α-max capacity of transportation networks: a single-level mathematical programming formulation6 cited
    • 2022Solving a Multi-Class Traffic Assignment Model with Mixed Modes5 cited