The Existence of a Time-Dependent Equilibrium Distribution of Arrivals at a Single Bottleneck

Michael J. Smith
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Michael J. Smith: University of York, York, England

Transportation Science, 1984, vol. 18, issue 4, 385-394

Abstract: 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.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:18:y:1984:i:4:p:385-394

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