THE DYNAMICS OF TRAFFIC ASSIGNMENT AND TRAFFIC CONTROL: A THEORETICAL STUDY

This paper considers traffic assignment, with traffic controls, in an increasingly dynamic way. First, a natural way of introducing the responsive policy, (P sub omicron), 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). The authors were able to obtain similar stability results when queues are explicitly allowed for, provided demand is constant. Lastly, they allow demand to vary with time; they consider the dynamic assignment problem with signal settings now fixed. Here the authors 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. The authors have been unable to obtain results when dynamic demand and responsive signal control are combined.

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  • Corporate Authors:

    Pergamon Press, Incorporated

    Headington Hill Hall
    Oxford OX30BW,    
  • Authors:
    • Smith, M J
    • GHALI, M
  • Publication Date: 1990-12

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Filing Info

  • Accession Number: 00615032
  • Record Type: Publication
  • Files: TRIS, ATRI
  • Created Date: Sep 30 1991 12:00AM