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

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JournalTransportation Research Part B: Methodological
DatePublished - Dec 1990
Issue number6
Volume24
Number of pages14
Pages (from-to)409-422
Original languageEnglish

Abstract

The paper considers traffic assignment, with traffic controls, in an increasingly dynamic way. First, a natural way of introducing the responsive policy, P(o), 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 queunes 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.

    Research areas

  • EXISTENCE

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