Unconstrained weibit stochastic user equilibrium model with extensions

This study provides an unconstrained minimization program as an alternative formulation for the multinomial weibit (MNW) stochastic user equilibrium (SUE) model that explicitly considers the heterogeneous perception variances with respect to different trip lengths under congested conditions. Qualitative properties of the unconstrained minimization program are given to establish the equivalency and uniqueness of the MNW-SUE solution. The advantage of the unconstrained minimization programming formulation is that it allows the development of a link-based algorithm, which obviates path storage and enumeration. The methodological contributions lie in the derivation of the expected perceived travel cost (or the satisfaction function) that enables the development of an unconstrained MNW-SUE minimization program and a link-based stochastic loading mechanism combined with recent advances in line search strategies in the link-based algorithm. Numerical examples are also provided to illustrate the features of the MNW-SUE model and the link-based algorithm along with several extensions for future research.

• Record URL:
  • https://doi.org/10.1016/j.trb.2013.10.010
• Record URL:
  • http://www.sciencedirect.com/science/article/pii/S0191261513001835
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/01912615
• Supplemental Notes:
  • Abstract reprinted with permission of Elsevier.
• Authors:
  • Kitthamkesorn, Songyot
  • Chen, Anthony
• Publication Date: 2014-1

Language

• English

Media Info

• Media Type: Digital/other
• Features: Figures; References; Tables;
• Pagination: pp 1-21
• Serial:
  • Transportation Research Part B: Methodological
  • Volume: 59
  • Issue Number: 0
  • Publisher: Elsevier
  • ISSN: 0191-2615
  • Serial URL: http://www.sciencedirect.com/science/journal/01912615

Subject/Index Terms

• TRT Terms: Logits; Minimization; Traffic congestion; Travel costs; Trip length; Variance; Weibull distributions
• Uncontrolled Terms: Stochastic user equilibrium models
• Subject Areas: Highways; Planning and Forecasting; I71: Traffic Theory;

Filing Info

• Accession Number: 01515670
• Record Type: Publication
• Files: TRIS
• Created Date: Feb 24 2014 5:00PM