This paper considers a traffic problem in which vehicles queue up according to a Poisson process on a single-lane entrance ramp prior to merging into a major stream of vehicular traffic. In order to then prevent the ramp queue from becoming too large, a model is proposed which considers a lowering of the critical gap as the ramp queue size increases. With the critical gap assumed to be a nonincreasing function of the number of vehicles on the ramp at instances that correspond to departure times of lead vehicles from the ramp queue, the resultant model is an M/G/1 model queue with state-dependent service times. Some general results are obtained for this model and a specific case discussed in moderate detail.

  • Corporate Authors:

    Office of Naval Research

    Department of the Navy, 800 North Quincy Street
    Arlington, VA  United States  22217
  • Authors:
    • Harris, C M
  • Publication Date: 1976-12

Media Info

Subject/Index Terms

Filing Info

  • Accession Number: 00159674
  • Record Type: Publication
  • Source Agency: Engineering Index
  • Files: TRIS
  • Created Date: Apr 12 1978 12:00AM