A Queueing Model for Traffic Flow Control in the Road Intersection

Yona Elbaum, Alexander Novoselsky and Evgeny Kagan ()
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Yona Elbaum: Department of Industrial Engineering, Ariel University, Ariel 4076414, Israel
Alexander Novoselsky: Department of Earth and Planetary Sciences, Weizmann Institute of Science, Rehovot 7610001, Israel
Evgeny Kagan: Department of Industrial Engineering, Ariel University, Ariel 4076414, Israel

Mathematics, 2022, vol. 10, issue 21, 1-15

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.

Keywords: traffic flow; traffic lights; road intersection; queue theory; state-dependent rate (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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