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Numerical stability of path-based algorithms for traffic assignment
16 references·1 citing·29 second hop
Numerical stability of path-based algorithms for traffic assignment (2015)Numerical stability of path-based algorit…A framework for and empirical study of algorithms for traffic assignment (2014)A framework for and empirical…Quadratic approximation and convergence of some bush-based algorithms for the traffic assignment problem (2013)Quadratic approximation and c…Computational precision of traffic equilibria sensitivities in automatic network design and road pricing (2013)Computational precision of tr…Local User Cost Equilibrium: a bush-based algorithm for traffic assignment (2012)Local User Cost Equilibrium: …Computational Experience on Advanced Algorithms for User Equilibrium Traffic Assignment Problem and Its Convergence Error (2012)Computational Experience on A…A self-adaptive Armijo stepsize strategy with application to traffic assignment models and algorithms (2012)A self-adaptive Armijo stepsi…A self-adaptive gradient projection algorithm for the nonadditive traffic equilibrium problem (2011)A self-adaptive gradient proj…Traffic assignment by paired alternative segments (2010)Traffic assignment by paired …A New Look at Projected Gradient Method for Equilibrium Assignment (2009)A New Look at Projected Gradi…A class of bush-based algorithms for the traffic assignment problem (2009)A class of bush-based algorit…Origin-Based Algorithm for the Traffic Assignment Problem (2002)Origin-Based Algorithm for th…A PATH-BASED GRADIENT PROJECTION ALGORITHM: EFFECTS OF EQUILIBRATION WITH A RESTRICTED PATH SET UNDER TWO FLOW UPDATE POLICIES (1998)A PATH-BASED GRADIENT PROJECT…A FASTER PATH-BASED ALGORITHM FOR TRAFFIC ASSIGNMENT (1994)A FASTER PATH-BASED ALGORITHM…Technical Note—Conical Volume-Delay Functions (1990)Technical Note—Conical Volume…CONICAL VOLUME-DELAY FUNCTIONS (1990)CONICAL VOLUME-DELAY FUNCTIONSUrban transportation networks: Equilibrium analysis with mathematical programming methods (1986)Urban transportation networks…Heuristic Methods for Calculating Dynamic Traffic Assignment (2019)Heuristic Methods for Calcula…Studies in the Economics of Transportation. (1956)Studies in the Economics of Transportation. (1957)A single-level mixed integer linear formulation for a bi-level discrete network design problem (2011)Refueling station location problem with traffic deviation considering route choice and demand uncertainty (2017)The Traffic Assignment Problem: Models and Methods (1994)A Greedy Path-Based Algorithm for Traffic Assignment (2018)A parallel computing approach to solve traffic assignment using path-based gradient projection algorithm (2020)Simplicial Decomposition with Disaggregated Representation for the Traffic Assignment Problem (1992)Wardrop Equilibria (2011)The existence, uniqueness and stability of traffic equilibria (1979)Traffic Equilibrium and Variational Inequalities (1980)Degradable transport network: Travel time budget of travelers with heterogeneous risk aversion (2005)Computation and application of the paired combinatorial logit stochastic user equilibrium problem (2013)Modeling Mode and Route Similarities in Network Equilibrium Problem with Go-Green Modes (2013)Link capacity functions: A review (1976)Bicycle lane priority: Promoting bicycle as a green mode even in congested urban area (2016)Traffic assignment problem for a general network (1969)A Traffic Equilibrium Model of Travel by Car and Public Transit Modes (1977)Traffic equilibrium problem with route-specific costs: formulation and algorithms (2000)Models and algorithms for the traffic assignment problem with link capacity constraints (2003)An Application and Validation of Equilibrium Trip Assignment Methods (1976)Delay/Volume Relations for Travel Forecasting Based upon the 1985 Highway Capacity Manual (1991)Design and operation of intermodal transportation network in the Marmara region of Turkey (2015)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 Mixed User‐Equilibrium and System‐Optimal Traffic Flow for Connected Vehicles Stated as a Complementarity Problem (2017)A path-based user-equilibrium traffic assignment algorithm that obviates path storage and enumeration (2006)Trip matrix and path flow reconstruction and estimation based on plate scanning and link observations (2007)
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References

  • 1986Urban transportation networks: Equilibrium analysis with mathematical programming methods2,352 cited
  • 2002Origin-Based Algorithm for the Traffic Assignment Problem320 cited
  • 1990Technical Note—Conical Volume-Delay Functions211 cited
  • 1994A FASTER PATH-BASED ALGORITHM FOR TRAFFIC ASSIGNMENT205 cited
  • 2010Traffic assignment by paired alternative segments201 cited
  • 2009A class of bush-based algorithms for the traffic assignment problem138 cited
  • 1990CONICAL VOLUME-DELAY FUNCTIONS99 cited
  • 2009A New Look at Projected Gradient Method for Equilibrium Assignment98 cited
  • 2012Local User Cost Equilibrium: a bush-based algorithm for traffic assignment88 cited
  • 2011A self-adaptive gradient projection algorithm for the nonadditive traffic equilibrium problem81 cited
  • 2014A framework for and empirical study of algorithms for traffic assignment73 cited
  • 2012A self-adaptive Armijo stepsize strategy with application to traffic assignment models and algorithms44 cited
  • 1998A PATH-BASED GRADIENT PROJECTION ALGORITHM: EFFECTS OF EQUILIBRATION WITH A RESTRICTED PATH SET UNDER TWO FLOW UPDATE POLICIES37 cited
  • 2013Computational precision of traffic equilibria sensitivities in automatic network design and road pricing29 cited

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2013
Quadratic approximation and convergence of some bush-based algorithms for the traffic assignment problem
23 cited
  • 2012Computational Experience on Advanced Algorithms for User Equilibrium Traffic Assignment Problem and Its Convergence Error22 cited
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    • 2019Heuristic Methods for Calculating Dynamic Traffic Assignment4 cited