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 language | English |
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Article number | 3997 |
Number of pages | 15 |
Journal | Mathematics |
Volume | 10 |
Issue number | 21 |
DOIs | |
State | Published - 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