Advances in the continuous dynamic network loading problem

Citation
Yw. Xu et al., Advances in the continuous dynamic network loading problem, TRANSP SCI, 33(4), 1999, pp. 341-353
Citations number
23
Categorie Soggetti
Politucal Science & public Administration","Civil Engineering
Journal title
TRANSPORTATION SCIENCE
ISSN journal
00411655 → ACNP
Volume
33
Issue
4
Year of publication
1999
Pages
341 - 353
Database
ISI
SICI code
0041-1655(199911)33:4<341:AITCDN>2.0.ZU;2-E
Abstract
The continuous dynamic network loading problem (CDNLP) consists in determin ing, on a congested network, time-dependent are volumes, together with are and path travel times, given the time-varying path flour departue rates ove r a finite time horizon. This problem constitutes an intrinsic part of the dynamic traffic assignment problem. In this paper, we present a formulation of the CDNLP where travel delays may be nonlinear functions of are traffic volumes. We prove, under a boundedness condition, that there exists a uniq ue solution to the problem and propose for its solution a finite-step algor ithm. Some computational results are reported for a discretized version of the algorithm.