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The dynamics of traffic assignment and traffic control: A theoretical study

  • Smith, M. J.
  • Ghali, M.
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    The paper considers traffic assignment, with traffic controls, in an increasingly dynamic way. First, a natural way of introducing the responsive policy, Po, into steady state traffic assignment is presented. Then it is shown that natural stability results follow within a dynamical version of this static equilibrium model (still with a constant demand). We are able to obtain similar stability results when queues are explicitly allowed for, provided demand is constant. Finally we allow demand to vary with time; we consider the dynamic assignment problem with signal-settings now fixed. Here we assume that vehicles are very short and that deterministic queueing theory applies, and show that the time-dependent queueing delay at the bottleneck at the end of a link is a monotone function of the time-dependent input profile to the bottleneck. We have been unable to obtain results when dynamic demand and responsive signal control are combined.

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    Article provided by Elsevier in its journal Transportation Research Part B: Methodological.

    Volume (Year): 24 (1990)
    Issue (Month): 6 (December)
    Pages: 409-422

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    Handle: RePEc:eee:transb:v:24:y:1990:i:6:p:409-422
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