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The paper presents a proposed queuing model based on Kendall’s notation for the inter-
section of two streets in Panama City (53 East and 56 East). The proposed model is based on a set
of traffic lights that controls the flow of vehicles at the intersection according to a predetermined
schedule. The model analyzes the stability of the system and simulations are performed to evaluate
its performance. The main objective of the paper is to optimize the vehicle flow by minimizing the
waiting time for passage. In the study, it was observed that the current traffic light system on Calle 50
(50th Street) is unstable and oversaturated during weekdays, which generates large vehicle queues
with no estimated exit times. It was proposed to increase the system capacity to 1300 vehicles per
hour to achieve reasonable stability and provide a solution to improve traffic signal timing on 50th
Street. The need to increase the system capacity has been demonstrated and an optimal value has
been suggested. The evaluation of other models and the use of AI can further strengthen the system
and improve the prediction accuracy in different traffic scenarios.