Dynamic activity-travel assignment in multi-state supernetworks

P. Liu, F. Liao, H. Huang, H. Timmermans

Research output: Contribution to journalArticleAcademicpeer-review

28 Citations (Scopus)
59 Downloads (Pure)


The integration of activity-based modeling and dynamic traffic assignment for travel demand analysis has recently attracted ever-increasing attention. However, related studies have limitations either on the integration structure or the number of choice facets being captured. This paper proposes a formulation of dynamic activity-travel assignment (DATA) in the framework of multi-state supernetworks, in which any path through a personalized supernetwork represents a particular activity-travel pattern (ATP) at a high level of spatial and temporal detail. DATA is formulated as a discrete-time dynamic user equilibrium (DUE) problem, which is reformulated as an equivalent variational inequality (VI) problem. A generalized dynamic link disutility function is established with the accommodation of different characteristics of the links in the supernetworks. Flow constraints and non-uniqueness of equilibria are also investigated. In the proposed formulation, the choices of departure time, route, mode, activity sequence, activity and parking location are all unified into one time-dependent ATP choice. As a result, the interdependences among all these choice facets can be readily captured. A solution algorithm based on the route-swapping mechanism is adopted to find the user equilibrium. A numerical example with simulated scenarios is provided to demonstrate the advantages of the proposed approach.

Original languageEnglish
Pages (from-to)656-671
Number of pages16
JournalTransportation Research. Part B: Methodological
Publication statusPublished - 1 Nov 2015


  • Activity-travel link/path disutility
  • Dynamic activity-travel assignment
  • Dynamic user equilibrium
  • Multi-state supernetwork


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