Analytical Methods in Transportation: Systems Analysis for Arterial Street Operation

Abstract

An application is presented of a linear-programming model, the multicopy mixing model developed by Charnes and Cooper, to the problem of arterial street system analysis, and an example demonstrates how the use of the model provides a simulation of traffic flow over a street network containing branches or links with capacity constraints. The example presents a specific use of the technique, that of holding the freeway volume at or below a fixed amount and developing the resulting optimum flow pattern in the system. It is shown how the results of the simulation can be used as a guide for determining what control measures, such as one way street routings, or freeway ramp closures, should be used to get optimum use of the street system. The paper also illustrates how the nonlinear travel time-volume curve (delay curve) can be piece-wise, linearly approximated and included in the traffic assignment procedure in order to closely simulate actual traffic behavior in a street network.

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