EXISTENCE OF A TIME-DEPENDENT EQUILIBRIUM DISTRIBUTION OF ARRIVALS AT A SINGLE BOTTLENECK

The paper gives conditions which guarantee the existence of an equilibrium arrival pattern at a single bottleneck. In the model, the times at which a driver wishes to leave the bottleneck depend on the driver. The equilibrium queue length in this model always has a continuous time derivative everywhere. However, the slope of the equilibrium cumulative arrival distribution is discontinuous at the beginning and end of congestion. The authors suppose that each car driver has only one reasonable route for his journey to work and that all routes pass through a single bottleneck. The only choice open to drivers, in our model, is that of their time of departure for work.

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  • Accession Number: 00393383
  • Record Type: Publication
  • Source Agency: Engineering Index
  • Files: TRIS
  • Created Date: May 31 1985 12:00AM