A New Generalized Variational Inequality Formulation for Stochastic Combined Modal Split and Traffic Assignment Problems

This paper proposed a new generalized variational inequality (VI) formulation for the stochastic combined modal split and traffic assignment (CMSTA) problem with binary modes of cars and buses. By generalized, the authors mean that it can accommodate a variety of different routing principles and asymmetric interactions between different transportation modes. Specifically, mode choice and route choice behaviors of travelers are considered simultaneously in which stochastic user equilibrium (SUE) or stochastic system optimum (SSO) principles are adapted. The solution equivalence between the generalized optimality conditions and the proposed VI formulation is proved. The authors also rigorously proved the solution existence and uniqueness of the VI formulation. The diagonalization method is utilized to decompose the original VI formulation into a number of convex optimization subproblems through the solution procedure. A numerical study based on the Nguyen-Dupuis network with different scenarios is used to justify the modeling and solution methods.

• Supplemental Notes:
  • This paper was sponsored by TRB committee ADB30 Standing Committee on Transportation Network Modeling.
• Authors:
  • Liu, Haiyang
  • Xie, Chi
• Conference:
  • Transportation Research Board 97th Annual Meeting
  • Location: Washington DC, United States
  • Date: 2018-1-7 to 2018-1-11
• Date: 2018

Language

• English

Media Info

• Media Type: Digital/other
• Features: Figures; References; Tables;
• Pagination: 19p

Subject/Index Terms

• TRT Terms: Automobile travel; Behavior; Bus transit; Modal split; Multimodal transportation; Route choice; Traffic assignment
• Subject Areas: Highways; Planning and Forecasting; Public Transportation;

Filing Info

• Accession Number: 01661298
• Record Type: Publication
• Report/Paper Numbers: 18-04805
• Files: TRIS, TRB, ATRI
• Created Date: Feb 26 2018 1:47PM