In mathematical programming models of time-varying flows on traffic networks (dynamic traffic assignment), a key component is the model of flow behavior within individual links. However, to maintain tractability in these models, time-varying link flows tend to be modeled in very simple ways. In this paper, the authors attempt to model link flows more flexibly, so that the trip time of a vehicle on a link is influenced by the flow rate when the vehicle enters the link, the flow rate when the vehicle exits from the link, and knock-on effects from traffic ahead on the link. The authors concentrate on congestion along links, but the model can also be extended. The authors also concentrate on a system-optimizing model, but outline how this can be extended to user equilibrium. The properties of the model are considered and it is found that the first-in first-out (FIFO) property of road traffic holds unless there is a sharp increase in inflows to a link followed by a sharp decrease. Other related phenomena are investigated and the model is applied to simple network examples. The model has the advantage of being linear and having a special structure which may be exploited to develop more efficient solution techniques.

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    The Boulevard, Langford Lane
    Kidlington, Oxford  United Kingdom  OX5 1GB
  • Authors:
    • Carey, M
    • Subrahmanian, E
  • Publication Date: 2000-4


  • English

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  • Accession Number: 00789510
  • Record Type: Publication
  • Files: TRIS, ATRI
  • Created Date: Mar 25 2000 12:00AM