Toll Choice and Stochastic User Equilibrium: Ticking All the Boxes

Stochastic user equilibrium is a behaviorally realistic framework for strategic demand modeling and forecasting in cities/regions where there are multiple tolled facilities, especially when it comes to patronage forecasting for existing or planned tolled facilities. However, there is currently no algorithm available in the literature or in commercial software that provides a comprehensive approach for stochastic user equilibrium assignment that addresses the generation of route choice sets for tolled roads, path overlap, and high levels of convergence. This paper presents a novel choice set generation algorithm combined with the path-size logit model and the bi-conjugate Frank-Wolfe equilibrium assignment in a comprehensive algorithm for forecasting tolled road patronage, along with the results of its application to a real-life model in Brisbane, Australia.

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Multi-class stochastic user equilibrium assignment model with ridesharing: Formulation and policy implications

Transportation Research Part A Policy and Practice ◽

10.1016/j.tra.2020.12.011 ◽

2021 ◽

Vol 145 ◽

pp. 203-227

Author(s):

S. Sun ◽

W.Y. Szeto

Keyword(s):

User Equilibrium ◽

Policy Implications ◽

Stochastic User Equilibrium ◽

Assignment Model ◽

Equilibrium Assignment

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Dynamic departure time and stochastic user equilibrium assignment

Transportation Research Part B Methodological ◽

10.1016/j.trb.2003.08.003 ◽

2005 ◽

Vol 39 (2) ◽

pp. 97-118 ◽

Cited By ~ 62

Author(s):

Yongtaek Lim ◽

Benjamin Heydecker

Keyword(s):

User Equilibrium ◽

Stochastic User Equilibrium ◽

Equilibrium Assignment ◽

Departure Time

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The Method of Successive Averages and Method of Successive Weighted Averages for Logit-Based Stochastic User Equilibrium Assignment

CICTP 2017 ◽

10.1061/9780784480915.223 ◽

2018 ◽

Author(s):

Manyuan Zhang ◽

Lin Cheng

Keyword(s):

User Equilibrium ◽

Stochastic User Equilibrium ◽

Weighted Averages ◽

Equilibrium Assignment ◽

Method Of Successive Averages

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Investment Selection Model for Multicommodity Multimodal Transportation Networks

Transportation Research Record Journal of the Transportation Research Board ◽

10.1177/0361198196152200105 ◽

1996 ◽

Vol 1522 (1) ◽

pp. 38-46 ◽

Cited By ~ 4

Author(s):

Carlos Felipe G. Loureiro ◽

Bruce Ralston

Keyword(s):

Network Design ◽

Real Life ◽

User Equilibrium ◽

Network Design Problem ◽

Type Model ◽

Stochastic User Equilibrium ◽

Transportation Services ◽

Life Problems ◽

Multimodal Network ◽

Main Component

A Multicommodity Multimodal Network Design (MCMND) model is presented; the model is to be used as a planning tool for determining investment priorities for freight intercity networks. The MCMND model is designed to select the best set of investment options for a multimodal regional network, given a limited investment budget. The main component of the model comprises the solution of a nonlinear bilevel network design problem formulated to choose investments that minimize both the transportation costs incurred by users and the environmental impacts of less efficient modes of transportation. Investment options to be considered by the model involve the addition of new physical links to the network, the improvement of existing links, and the location of intermodal transfer facilities at specified nodes of the network. The representation of the multimodal network is at a level of detail appropriate for strategic planning for a large region. The demand for transportation services is fixed and exogenous to the model. Mode choice in shipping freight is modeled in combination with flow assignment, assuming that goods are shipped at minimum total generalized costs. A new path-based stochastic user equilibrium assignment algorithm is proposed to distribute trips over the multimodal network according to a logit-type model. The Tietê-Paraná Valley in Brazil was selected for the development of a pilot application of the MCMND model to assess its efficiency when dealing with large networks. This application also served to emphasize the importance of an interface between the MCMND model and a geographic information system in solving real-life problems.

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Solving the Overlapping Problem in Route Choice with Paired Combinatorial Logit Model

Transportation Research Record Journal of the Transportation Research Board ◽

10.3141/1857-08 ◽

2003 ◽

Vol 1857 (1) ◽

pp. 65-73 ◽

Cited By ~ 25

Author(s):

Anthony Chen ◽

Panatda Kasikitwiwat ◽

Zhaowang Ji

Keyword(s):

Mathematical Programming ◽

Logit Model ◽

Choice Model ◽

Route Choice ◽

Similarity Index ◽

User Equilibrium ◽

Transportation Systems ◽

Programming Formulation ◽

Stochastic User Equilibrium ◽

Mathematical Programming Formulation

Recently, there has been renewed interest in improving the logit-based route choice model because of the importance of the route choice model in intelligent transportation systems applications, particularly the applications of advanced traveler information systems. The paired combinatorial logit (PCL) model and its equivalent mathematical programming formulation for the route choice problem have been studied. An algorithm based on the partial linearization method is presented for solving the PCL stochastic user equilibrium problem. Detailed examples are provided to explain how this hierarchical logit model resolves the overlapping problem through the similarity index while still accounting for both congestion and stochastic effects in the mathematical programming formulation.

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