This report describes and analyses some models of overtaking on rural roads. These models are of varying degrees of complexity depending on the situations we wish to describe and on our ability to obtain explicit results. Together with empirical studies such models can give increased knowledge about traffic, and can be utilized in more general studies of rural traffic. We consider a two lane two way rural road without intersections. On such a road vehicles in one lane are influenced by vehicles in the other lane. In particular a vehicle in one lane wishing to overtake a slower vehicle must travel some distance in the other lane; this is possible only when there is a sufficient gap to the nearest oncoming vehicle when an overtaking is started and their is sufficient visibility to determine whether the gap is sufficient. Our main task is to obtain the mean waiting distance s(V,v sub 1) a vehicle in lane 1 with desired speed V travels behind a vehicle (s) with speed v sub 1 (greater than V) before overtaking. This has a number of applications. In the models of Erlander (3), Jacobs (7) and others of traffic on two lane rural roads the interactions between vehicles, and hence deviations from desired speeds, are caused mainly by waiting to overtake. Thus the (average) waiting distance for an overtaking is of fundamental importance in these models, and a reasonably accurate evaluation of s(V,V sub 1) is needed. Secondly we can consider the delays to and the average speed of a single fast vehicle with desired speed V in a stream of traffic with speed v sub 1 (greater than V) (or more generally with a distribution of speeds greater than V).

  • Supplemental Notes:
    • Research sponsored by Swedish Transport Research Delegation.
  • Corporate Authors:

    Linkoeping University, Sweden

    Department of Mathematics
    S-58183 Linkoeping,   Sweden 
  • Authors:
    • Yeo, G
  • Publication Date: 1975

Media Info

  • Features: Figures; References; Tables;
  • Pagination: 51 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00099033
  • Record Type: Publication
  • Source Agency: Highway Safety Research Institute
  • Report/Paper Numbers: LiH-MAT-R-75-3
  • Files: TRIS
  • Created Date: Oct 18 1975 12:00AM