A Queueing Model for Traffic Flow Control in the Road Intersection

Yona Elbaum, Alexander Novoselsky, Evgeny Kagan

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we consider a simple road intersection with traffic light control and suggest a queueing model for the traffic flow in the intersection. The suggested model implements the well-known queue with state-dependent departure rates. Using this model, we define optimal state-dependent scheduling of the traffic lights in the intersection and consider its properties. Activity of the model is illustrated by numerical simulations. It is demonstrated that in practical conditions the suggested scheduling of the traffic lights allows the prevention of traffic jams in the intersection and resolves vehicles queues with reasonable waiting times in the crossing lanes.

Original languageEnglish
Article number3997
Number of pages15
JournalMathematics
Volume10
Issue number21
DOIs
StatePublished - Nov 2022

Keywords

  • queue theory
  • road intersection
  • state-dependent rate
  • traffic flow
  • traffic lights

All Science Journal Classification (ASJC) codes

  • Computer Science (miscellaneous)
  • Engineering (miscellaneous)
  • General Mathematics

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