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Solving the bicriteria traffic equilibrium problem with variable demand and nonlinear path costs
12 references·16 citing·34 second hop
Solving the bicriteria traffic equilibrium problem with variable demand and nonlinear path costs (2010)Solving the bicriteria traffic equilibriu…Equilibrium, Games, and Pricing in Transportation and Telecommunication Networks (2004)Equilibrium, Games, and Prici…A multiclass, multicriteria traffic network equilibrium model with elastic demand (2002)A multiclass, multicriteria t…Traffic equilibrium problem with route-specific costs: formulation and algorithms (2000)Traffic equilibrium problem w…A multiclass, multicriteria traffic network equilibrium model (2000)A multiclass, multicriteria t…The Traffic Equilibrium Problem with Nonadditive Path Costs (1997)The Traffic Equilibrium Probl…Bicriterion traffic assignment: Efficient algorithms plus examples (1997)Bicriterion traffic assignmen…Bicriterion Traffic Assignment: Basic Theory and Elementary Algorithms (1996)Bicriterion Traffic Assignmen…Network economics: a variational inequality approach (1994)Network economics: a variatio…Simplicial Decomposition with Disaggregated Representation for the Traffic Assignment Problem (1992)Simplicial Decomposition with…Urban transportation networks: Equilibrium analysis with mathematical programming methods (1986)Urban transportation networks…The multi-modal traffic assignment problem (1981)The multi-modal traffic assig…An efficient approach to solving the road network equilibrium traffic assignment problem (1975)An efficient approach to solv…Time and toll trade-off with heterogeneous users: A continuous time surplus maximization bi-objective user equilibrium model (2023)Time and toll trade-off with …Multiclass bi-criteria traffic assignment without class-specific variables: An alternative formulation and a subgradient projection algorithm (2023)Multiclass bi-criteria traffi…The Optimal Path Finding Algorithm Based on Reinforcement Learning (2020)The Optimal Path Finding Algo…Regret-based multi-objective route choice models and stochastic user equilibrium: a non-compensatory approach (2020)Regret-based multi-objective …A faster path-based algorithm with Barzilai-Borwein step size for solving stochastic traffic equilibrium models (2020)A faster path-based algorithm…Non-additive shortest path in the context of traffic assignment (2018)Non-additive shortest path in…Multi-criteria user equilibrium model considering travel time, travel time reliability and distance (2017)Multi-criteria user equilibri…An advanced traveler navigation system adapted to route choice preferences of the individual users (2017)An advanced traveler navigati…A three‐objective user equilibrium model: Time surplus maximisation under uncertainty (2017)A three‐objective user equili…On multi-objective stochastic user equilibrium (2015)On multi-objective stochastic…Rural bus route design problem: Model development and case studies (2014)Rural bus route design proble…Reformulating Environmentally Constrained Traffic Equilibrium via a Smooth Gap Function (2014)Reformulating Environmentally…Elastic demand with weibit stochastic user equilibrium flows and application in a motorised and non-motorised network (2014)Elastic demand with weibit st…A rank-dependent bi-criterion equilibrium model for stochastic transportation environment (2014)A rank-dependent bi-criterion…Modelling route choice behaviour in a tolled road network with a time surplus maximisation bi-objective user equilibrium model (2013)Modelling route choice behavi…A general unconstrained optimization formulation for the combined distribution and assignment problem (2013)A general unconstrained optim…A class of games possessing pure-strategy Nash equilibria (1973)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Potential Games (1996)Decomposition algorithms for generalized potential games (2010)Real and Complex Monotone Communication Games (2014)Nash and Wardrop Equilibria in Aggregative Games with Coupling Constraints (2019)A probabilistic multipath traffic assignment model which obviates path enumeration (1971)On Stochastic Models of Traffic Assignment (1977)A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem (1993)Optimal distance tolls under congestion pricing and continuously distributed value of time (2012)Path-Constrained Traffic Assignment (2012)Speed-based toll design for cordon-based congestion pricing scheme (2013)Studies in the Economics of Transportation. (1956)Studies in the Economics of Transportation. (1957)Network Design and Transportation Planning: Models and Algorithms (1984)The Traffic Assignment Problem: Models and Methods (1994)Design and operation of intermodal transportation network in the Marmara region of Turkey (2015)The Economics of Welfare (1933)Traffic Equilibrium and Variational Inequalities (1980)A FASTER PATH-BASED ALGORITHM FOR TRAFFIC ASSIGNMENT (1994)Bilevel programming in traffic planning: Models, methods and challenge (1995)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)The multi-class, multi-criteria traffic network equilibrium and systems optimum problem (2003)Competitive Food Supply Chain Networks with Application to Fresh Produce (2012)A multiclass, multicriteria logit-based traffic equilibrium assignment model under ATIS (2006)Designing Multimodal Freight Transport Networks: A Heuristic Approach and Applications (2009)A Mixed User‐Equilibrium and System‐Optimal Traffic Flow for Connected Vehicles Stated as a Complementarity Problem (2017)A network equilibrium model with travellers’ perception of stochastic travel times (2009)C-logit stochastic user equilibrium model: formulations and solution algorithm (2010)Doubly uncertain transportation network: Degradable capacity and stochastic demand (2007)A prospect-based user equilibrium model with endogenous reference points and its application in congestion pricing (2010)
this work references cited by second hop

References

  • 1986Urban transportation networks: Equilibrium analysis with mathematical programming methods2,352 cited
  • 1994Network economics: a variational inequality approach971 cited
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  • 1992Simplicial Decomposition with Disaggregated Representation for the Traffic Assignment Problem265 cited
  • 2000Traffic equilibrium problem with route-specific costs: formulation and algorithms168 cited
  • 1997The Traffic Equilibrium Problem with Nonadditive Path Costs165 cited
  • 2002A multiclass, multicriteria traffic network equilibrium model with elastic demand162 cited
  • 2000A multiclass, multicriteria traffic network equilibrium model134 cited
  • 1996Bicriterion Traffic Assignment: Basic Theory and Elementary Algorithms133 cited
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Cited by

  • 2020A faster path-based algorithm with Barzilai-Borwein step size for solving stochastic traffic equilibrium models43 cited
  • 2017Multi-criteria user equilibrium model considering travel time, travel time reliability and distance

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42 cited
  • 2013Modelling route choice behaviour in a tolled road network with a time surplus maximisation bi-objective user equilibrium model40 cited
  • 2014Reformulating Environmentally Constrained Traffic Equilibrium via a Smooth Gap Function33 cited
  • 2013A general unconstrained optimization formulation for the combined distribution and assignment problem32 cited
  • 2014Elastic demand with weibit stochastic user equilibrium flows and application in a motorised and non-motorised network29 cited
  • 2015On multi-objective stochastic user equilibrium22 cited
  • 2020The Optimal Path Finding Algorithm Based on Reinforcement Learning22 cited
  • 2023Time and toll trade-off with heterogeneous users: A continuous time surplus maximization bi-objective user equilibrium model21 cited
  • 2023Multiclass bi-criteria traffic assignment without class-specific variables: An alternative formulation and a subgradient projection algorithm20 cited
  • 2014Rural bus route design problem: Model development and case studies20 cited
  • 2017An advanced traveler navigation system adapted to route choice preferences of the individual users19 cited
  • 2018Non-additive shortest path in the context of traffic assignment15 cited
  • 2017A three‐objective user equilibrium model: Time surplus maximisation under uncertainty14 cited
  • 2014A rank-dependent bi-criterion equilibrium model for stochastic transportation environment13 cited
  • 2020Regret-based multi-objective route choice models and stochastic user equilibrium: a non-compensatory approach13 cited