Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuity of the Effective Path Delay Operator for Networks Based on
  the Link Delay Model   This paper is concerned with a dynamic traffic network performance model,
known as dynamic network loading (DNL), that is frequently employed in the
modeling and computation of analytical dynamic user equilibrium (DUE). As a key
component of continuous-time DUE models, DNL aims at describing and predicting
the spatial-temporal evolution of traffic flows on a network that is consistent
with established route and departure time choices of travelers, by introducing
appropriate dynamics to flow propagation, flow conservation, and travel delays.
The DNL procedure gives rise to the path delay operator, which associates a
vector of path flows (path departure rates) with the corresponding path travel
costs. In this paper, we establish strong continuity of the path delay operator
for networks whose arc flows are described by the link delay model (Friesz et
al., 1993). Unlike result established in Zhu and Marcotte (2000), our
continuity proof is constructed without assuming a priori uniform boundedness
of the path flows. Such a more general continuity result has a few important
implications to the existence of simultaneous route-and-departure choice DUE
without a priori boundedness of path flows, and to any numerical algorithm that
allows convergence to be rigorously analyzed.

22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th