Simple State-Dependent Gap Acceptance,
Abstract
The 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 exploding, a model is proposed which considers a lowering of the critical gap as the queue increases. With the critical gap assumed to be a non-increasing function of the number on the ramp at instances that correspond to departure points from the ramp queuq, the resultant model is an M/G/1 queue with state-dependent service times. Some general results are obtained for this model and a specific case discussed in moderate detail. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 20, 1973
- Accession Number
- AD0762416
Entities
People
- Carl M. Harris
Organizations
- George Washington University