Existence of simultaneous route and departure choice dynamic user equilibrium

Ke Han, Terry L. Friesz and Tao Yao

Transportation Research Part B: Methodological, 2013, vol. 53, issue C, 17-30

Abstract: 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.

Keywords: Simultaneous route-and-departure choice dynamic user equilibrium; Existence; The generalized Vickrey model; Effective delay operator (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (32)

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DOI: 10.1016/j.trb.2013.01.009

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