Stochastic user equilibrium in the presence of state dependence
We consider the following two state-dependent effects at the level of route choice: inertia to change and, as a consequence of experience, lower perception variance for the currently used route. A heteroscedastic extreme value model embodying heterogeneity across alternatives in the mean of the random terms is used. Estimations based on stated preference data confirm the presence of both state-dependent effects. We introduce a new class of stochastic user equilibrium (SUE) models that take state-dependent effects into account. The class includes conventional SUE as special case. The equilibrium conditions are formulated as fixed-point states of deterministic day-to-day assignment processes. At the equilibrium (1) no user can improve her/his utility by unilaterally changing route, and (2) if each user shifts from her/his current route to her/his newly chosen route the observed route flows do not change. The existence of the equilibrium is guaranteed under usually satisfied conditions. A modified method of successive averages is proposed for solution. Examples related to a two arc network and to the Nguyen-Dupuis network illustrate the model.
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Availability:
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Supplemental Notes:
- © 2019 Springer-Verlag GmbH Germany, part of Springer Nature and EURO - The Association of European Operational Research Societies. The contents of this paper reflect the views of the authors and do not necessarily reflect the official views or policies of the Transportation Research Board or the National Academy of Sciences.
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Authors:
- Castaldi, Claudia
- Delle Site, Paolo
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0000-0002-4057-1858
- Filippi, Francesco
- Publication Date: 2019-12
Language
- English
Media Info
- Media Type: Web
- Features: Appendices; References;
- Pagination: pp 535-559
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Serial:
- EURO Journal on Transportation and Logistics
- Volume: 8
- Issue Number: 5
- Publisher: SPRINGER VERLAG HEIDELBERG
- ISSN: 2192-4376
- EISSN: 2192-4384
- Serial URL: http://www.springerlink.com/content/2192-4376/
Subject/Index Terms
- TRT Terms: Equilibrium (Systems); Heteroscedasticity; Inertial forces; Mathematical models; Route choice; Stochastic processes
- Subject Areas: Highways; Operations and Traffic Management; Planning and Forecasting;
Filing Info
- Accession Number: 01727121
- Record Type: Publication
- Files: TRIS
- Created Date: Dec 31 2019 4:31PM