Time inhomogeneous signalized intersection as a discrete infinite dam

Signalized intersections have always been considered as queueing systems in which the service time distribution is the headway distribution of departing vehicles. This paper suggests that it is more appropriate to consider signalized intersections as storage systems, especially discrete infinite dams subject to regular shutdown. The following intersection model is then studied in detail: the discrete time approach is adopted; that is, the system is observed at equally spaced epochs the spacing of which is equal to the mean departure headway. The arrival process is a time inhomogeneous compound poisson process; that is, vehicles arrive in groups of random size and the groups occur as a poisson process having time dependent parameters. At any epoch, the light can be either green or red and the switching rule does not have to be fixed cycle. Transient solutions for the distributions of the queue length at each epoch and the departure time of each vehicle are obtained. These depend on the probability of emptiness which can be calculated from a recursive relation.

• Authors:
  • Minh, D L
  • Blunden, W R
• Conference:
  • International Symposium on Transportation and Traffic Theory, 7th, 1977, Kyoto, Japan
• Publication Date: 1977

Language

• English

Media Info

• Pagination: 272-80
• Monograph Title: Proceedings of the seventh International Symposium on Transportation and Traffic Theory, August 14-17, Kyoto, 1977

Subject/Index Terms

• TRT Terms: Highway traffic control; Mathematical models; Signalized intersections; Traffic queuing; Traffic signals
• ATRI Terms: Modelling; Queue; Signalized intersection; Traffic control; Traffic signal
• Subject Areas: Highways; Operations and Traffic Management;

Filing Info

• Accession Number: 01441122
• Record Type: Publication
• Source Agency: ARRB
• Files: ATRI
• Created Date: Aug 24 2012 11:23PM