Activity Scheduling and Travel Choices in a Dynamic Network: Equilibrium Concept and Properties of ABM-DTA Integrated Model Framework

Capturing the details obtained from activity based models within dynamic traffic assignment models, and vise versa necessitate development of a robust integrated framework. Traditional studies are mainly conceptual models of integration, or they address the integrated system considering static traffic assignment models. In this study the authors aim at developing a rigorous framework for such an integrated system. A household activity scheduling model coupled with the dynamic traffic assignment, where individuals’ choices are made within a user equilibrium framework is considered. The proposed framework provides achievement of faster algorithmic convergence for the integration of activity based and dynamic traffic assignment models by serving as an inner adjustment process. Individuals are assumed to associate a disutility to their travel patterns, which they try to minimize. First, an individual disutility is defined as a function of schedule inconsistencies and total travel costs. Then the equilibrium problem is formulated as a fixed point equilibrium problem. A variational inequality (VI) formulation is presented, and it is shown that the solution to the VI problem meets the user equilibrium conditions. Subsequently, an equivalent gap function is defined for the VI formulation, and a solution algorithm applicable to large scale real world networks is presented. Solution properties of the problem formulation are discussed through analysis of continuity and monotonicty of the involved functions in the proposed fixed point formulation.

• Supplemental Notes:
  • This paper was sponsored by TRB committee ADB30 Standing Committee on Transportation Network Modeling.
• Corporate Authors:

  Transportation Research Board

  500 Fifth Street, NW
  Washington, DC  United States  20001
• Authors:
  • Halat, Hooram
  • Mahmassani, Hani S
  • 0000-0002-8443-8928
  • Zockaie, Ali
• Conference:
  • Transportation Research Board 96th Annual Meeting
  • Location: Washington DC, United States
  • Date: 2017-1-8 to 2017-1-12
• Date: 2017

Language

• English

Media Info

• Media Type: Digital/other
• Features: Figures; References;
• Pagination: 23p
• Monograph Title: TRB 96th Annual Meeting Compendium of Papers

Subject/Index Terms

• TRT Terms: Activity choices; Algorithms; Dynamic traffic assignment; Equilibrium (Systems)
• Uncontrolled Terms: Activity based modeling
• Geographic Terms: Chicago (Illinois)
• Subject Areas: Highways; Planning and Forecasting;

Filing Info

• Accession Number: 01629803
• Record Type: Publication
• Report/Paper Numbers: 17-06537
• Files: TRIS, TRB, ATRI
• Created Date: Mar 23 2017 5:18PM