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Stochastic social optimum traffic assignment

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References

1986Urban transportation networks: Equilibrium analysis with mathematical programming methods2,352 cited
1980Operations Research -- An Introduction1,560 cited
1980Some developments in equilibrium traffic assignment490 cited
1997Operations research: An introduction417 cited
1982An algorithm for the equilibrium assignment problem with random link times333 cited
1999System Optimum, Stochastic User Equilibrium, and Optimal Link Tolls139 cited
1997A probit-based stochastic user equilibrium assignment model106 cited

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2010First-best marginal cost toll for a traffic network with stochastic demand55 cited
2009Bounding the inefficiency of logit-based stochastic user equilibrium48 cited
2011Trial-and-error method for congestion pricing scheme under side-constrained probit-based stochastic user equilibrium conditions41 cited
2013Toll pricing framework under logit‐based stochastic user equilibrium constraints32 cited
2012Stochastic traffic assignment, Lagrangian dual, and unconstrained convex optimization27 cited
2006Tolling traffic links under stochastic assignment: Modelling the relationship between the number and price level of tolled links and optimal traffic flows25 cited
2009Inefficiency of Logit-Based Stochastic User Equilibrium in a Traffic Network Under ATIS

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23 cited

2016Stochastic user equilibrium model with a tradable credit scheme and application in maximizing network reserve capacity20 cited

2017Stochastic traffic assignment of mixed electric vehicle and gasoline vehicle flow with path distance constraints18 cited

2018Traffic assignment paradox incorporating congestion and stochastic perceived error simultaneously14 cited

2022The emergence of stochastic user equilibria in day-to-day traffic models13 cited

2022A new network equilibrium flow model: User-equilibrium with quantity adjustment13 cited

2018Preference heterogeneity and congestion pricing: The two route case revisited11 cited

2015Cordon toll competition in a network of two cities: Formulation and sensitivity to traveller route and demand responses11 cited

2025Pricing in the stochastic bottleneck model with price-sensitive demand10 cited

2009Equilibria and Inefficiency in Traffic Networks with Stochastic Capacity and Information Provision9 cited