Relationships Between Occupancy and Density Reflecting Average Vehicle Lengths

Author:

Kim Youngho1,Hall Fred L.2

Affiliation:

1. School of Network and Information Engineering, Youngsan University, 150 Junam-ri, Ungsang-enp, Yangsan-si, Kyeongnam 626-847, Republic of Korea

2. School of Geography and Geology, McMaster University, Hamilton, Ontario L8S 4K1, Canada

Abstract

The linearity of the occupancy-density relationship is investigated by studying the relationship mathematically across a wide range of traffic situations as well as by plotting values of both variables on the occupancy-density diagram. The literature does not show general agreement on the linearity of the relationship. The relationship is shown to be practically linear because the nonlinear factor mathematically derived does not have noticeable effects on the linearity of the relationship. However, the plot of both variables on the occupancy-density diagram shows that the relationship is influenced by varying average vehicle lengths and can be interpreted as being either linear or nonlinear. The proportion of long vehicles (trucks) is tested empirically and is shown to have large effects on the linearity of the relationship.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Civil and Structural Engineering

Reference7 articles.

1. Relation Among Average Speed, Flow, and Density and Analogous Relation Between Density and Occupancy

2. EdieL. C. Traffic Science (GazisD. C., ed.), John Wiley and Sons, Inc., New York, 1974, pp. 8–20.

3. Introduction to the Theory of Traffic Flow

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