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On the applicability and solution of bilevel optimization models in transportation science: A study on the existence, stability and computation of optimal solutions to stochastic mathematical programs with equilibrium constraints
16 references·11 citing·24 second hop
On the applicability and solution of bilevel optimization models in transportation science: A study on the existence, stability and computation of optimal solutions to stochastic mathematical programs with equilibrium constraints (2008)On the applicability and solution of bile…Introduction to Stochastic Programming (2011)Introduction to Stochastic Pr…Stochastic Programming (2010)Stochastic ProgrammingMonte Carlo Sampling Methods (2003)Monte Carlo Sampling MethodsThe Sample Average Approximation Method for Stochastic Discrete Optimization (2002)The Sample Average Approximat…Robust optimization ? methodology and applications (2002)Robust optimization ? methodo…Robust solutions of uncertain linear programs (1999)Robust solutions of uncertain…Introduction to Stochastic Programming (1998)Introduction to Stochastic Pr…Stochastic Programming (1995)Stochastic ProgrammingThe Traffic Assignment Problem: Models and Methods (1994)The Traffic Assignment Proble…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …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…On Stochastic Models of Traffic Assignment (1977)On Stochastic Models of Traff…An efficient approach to solving the road network equilibrium traffic assignment problem (1975)An efficient approach to solv…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…Bridging the user equilibrium and the system optimum in static traffic assignment: a review (2023)Bridging the user equilibrium…A survey on bilevel optimization under uncertainty (2023)A survey on bilevel optimizat…The greening of intercity travel: Environmental protection subsidy and HSR operation planning (2021)The greening of intercity tra…Bridging the user equilibrium and the system optimum in static traffic assignment: how the cooperation among drivers can solve the congestion problem in city networks (2021)Bridging the user equilibrium…Bi-level Programming Model for Exclusive Bus Lanes Configuration in Multimodal Traffic Network (2017)Bi-level Programming Model fo…A search acceleration method for optimization problems with transport simulation constraints (2017)A search acceleration method …An Algorithm for the Mixed Transportation Network Design Problem (2016)An Algorithm for the Mixed Tr…BI-LEVEL PROGRAMMING MODEL AND ALGORITHMS FOR STOCHASTIC NETWORK WITH ELASTIC DEMAND (2015)BI-LEVEL PROGRAMMING MODEL AN…Two-stage stochastic bilevel programming over a transportation network (2013)Two-stage stochastic bilevel …Asymmetric stochastic user equilibrium problem with elastic demand and link capacity constraints (2013)Asymmetric stochastic user eq…Modeling the congestion cost and vehicle emission within multimodal traffic network under the condition of equilibrium (2012)Modeling the congestion cost …Robust Convex Optimization (1998)Robust solutions of Linear Programming problems contaminated with uncertain data (2000)Adjustable robust solutions of uncertain linear programs (2004)Solving two-stage robust optimization problems using a column-and-constraint generation method (2013)Chance-Constrained Programming (1959)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)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)Conditional value-at-risk for general loss distributions (2002)Theory and Applications of Robust Optimization (2010)Ambulance location and relocation models (2003)Stochastic Programming Models (2003)A two-stage stochastic programming framework for transportation planning in disaster response (2004)A stochastic programming approach for supply chain network design under uncertainty (2004)Convex Approximations of Chance Constrained Programs (2006)Lectures on Stochastic Programming: Modeling and Theory (2009)Traffic Equilibrium and Variational Inequalities (1980)Multiagent systems: algorithmic, game-theoretic, and logical foundations (2009)Evolutionary Game Theory (2011)The existence, uniqueness and stability of traffic equilibria (1979)Optimization under uncertainty: state-of-the-art and opportunities (2003)
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References

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  • 2010Stochastic Programming2,228 cited
  • 2002The Sample Average Approximation Method for Stochastic Discrete Optimization1,989 cited
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  • 1994The Traffic Assignment Problem: Models and Methods1,043 cited
  • 1977On Stochastic Models of Traffic Assignment937 cited
  • 2003Monte Carlo Sampling Methods916 cited
  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 1975An efficient approach to solving the road network equilibrium traffic assignment problem

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796 cited

Cited by

  • 2023A survey on bilevel optimization under uncertainty114 cited
  • 2013Two-stage stochastic bilevel programming over a transportation network42 cited
  • 2023Bridging the user equilibrium and the system optimum in static traffic assignment: a review37 cited
  • 2013Asymmetric stochastic user equilibrium problem with elastic demand and link capacity constraints34 cited
  • 2017Bi-level Programming Model for Exclusive Bus Lanes Configuration in Multimodal Traffic Network22 cited
  • 2021The greening of intercity travel: Environmental protection subsidy and HSR operation planning17 cited
  • 2016An Algorithm for the Mixed Transportation Network Design Problem15 cited
  • 2012Modeling the congestion cost and vehicle emission within multimodal traffic network under the condition of equilibrium14 cited
  • 2017A search acceleration method for optimization problems with transport simulation constraints9 cited
  • 2015BI-LEVEL PROGRAMMING MODEL AND ALGORITHMS FOR STOCHASTIC NETWORK WITH ELASTIC DEMAND7 cited
  • 2021Bridging the user equilibrium and the system optimum in static traffic assignment: how the cooperation among drivers can solve the congestion problem in city networks6 cited