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

Author

Smith, Michael J.

Subjects
*TRAFFIC engineering, *TRAFFIC flow, *BOTTLENECKS (Manufacturing), *QUEUING theory, *TRAFFIC congestion, *TRANSPORTATION, *AUTOMOBILE drivers, *PRODUCTION scheduling
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. [ABSTRACT FROM AUTHOR]

Published
1984
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