Stochastic user equilibrium with equilibrated choice sets: Part II - Solving the restricted SUE for the logit family

Rasmussen, Thomas Kjaer, Watling, David Paul, Prato, Carlo Giacomo and Nielsen, Otto Anker (2015) Stochastic user equilibrium with equilibrated choice sets: Part II - Solving the restricted SUE for the logit family. Transportation Research Part B: Methodological, 77 146-165. doi:10.1016/j.trb.2015.03.009


Author Rasmussen, Thomas Kjaer
Watling, David Paul
Prato, Carlo Giacomo
Nielsen, Otto Anker
Title Stochastic user equilibrium with equilibrated choice sets: Part II - Solving the restricted SUE for the logit family
Journal name Transportation Research Part B: Methodological   Check publisher's open access policy
ISSN 0191-2615
1879-2367
Publication date 2015-07-01
Sub-type Article (original research)
DOI 10.1016/j.trb.2015.03.009
Open Access Status Not Open Access
Volume 77
Start page 146
End page 165
Total pages 20
Place of publication Kidlington, Oxford, United Kingdom
Publisher Pergamon Press
Collection year 2016
Language eng
Abstract We propose a new class of path-based solution algorithms to solve the Restricted Stochastic User Equilibrium (RSUE), as introduced in Watling et al. (2015). The class allows a flexible specification of how the choice sets are systematically grown by considering congestion effects and how the flows are allocated among routes. The specification allows adapting traditional path-based stochastic user equilibrium flow allocation methods (originally designed for pre-specified choice sets) to the generic solution algorithm. We also propose a cost transformation function and show that by using this we can, for certain Logit-type choice models, modify existing path-based Deterministic User Equilibrium solution methods to compute RSUE solutions. The transformation function also leads to a two-part relative gap measure for consistently monitoring convergence to a RSUE solution. Numerical tests are reported on two real-life cases, in which we explore convergence patterns and choice set composition and size, for alternative specifications of the RSUE model and solution algorithm.
Keyword Convergence criteria
Gap function
Path-swapping
Restricted stochastic user equilibrium
Solution methods
Stochastic user equilibrium
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
Non HERDC
 
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