STATE-DEPENDENT GAP ACCEPTANCE

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

• Serial:
  • Naval Research Logistics Quarterly
  • Volume: 23
  • Issue Number: 4
  • Publisher: Department of the Navy

Subject/Index Terms

• TRT Terms: Gap acceptance; Highway traffic control; Intersections; Mathematical models; Merging traffic; Probability; Queuing; Queuing theory; Ramps; Single lane traffic; Traffic delays
• Uncontrolled Terms: Models
• Old TRIS Terms: Queueing theory
• Subject Areas: Data and Information Technology; Highways; Operations and Traffic Management;

Filing Info

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