Existence of simultaneous route and departure choice dynamic user equilibrium

Ke Han, Terry L. Friesz, Tao Yao

Research output: Contribution to journalArticlepeer-review

59 Scopus citations


This paper is concerned with the existence of the simultaneous route-and-departure choice dynamic user equilibrium (SRDC-DUE) in continuous time, first formulated as an infinite-dimensional variational inequality in Friesz et al. (1993). In deriving our existence result, we employ the generalized Vickrey model (GVM) introduced in Han et al. (2013a,b) to formulate the underlying network loading problem. As we explain, the GVM corresponds to a path delay operator that is provably strongly continuous on the Hilbert space of interest. Finally, we provide the desired SRDC-DUE existence result for general constraints relating path flows to a table of fixed trip volumes without invocation of a priori bounds on the path flows.

Original languageEnglish (US)
Pages (from-to)17-30
Number of pages14
JournalTransportation Research Part B: Methodological
StatePublished - Jul 2013

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Transportation


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