Queuing theory is the best way for estimating waiting lines for many phenomena in different fields. Queuing models are used to make decisions on determining the traffic flow in order to avoid congestions in the streets; therefore, it is a useful tool for resolving these issues, which is the objective of this paper. The intersection of Shekhi-Choli in Erbil was undertaken to determine the appropriate queuing models for incoming street lines at the intersection, as well as to solve the problem of a constrained queuing line with excessive wait durations. This intersection is important because it connects three roads that provide access to and from Erbil's big bazaar. Data were obtained from the chosen intersection for 12 days from 3 to 5 PM daily. EasyFit software version 5.4 and TORA software version 2 were used to analyze the data. The primary performance metrics were identified, and optimal queuing models were chosen to service drivers. The empirical distribution of automobile arrivals and departures is a Poisson distribution, with traffic intensities of 92%, 88%, and 80% for the first line (Barzani Namr str.), second line (Shekhi Choli str.), and last line (Sultan Muzaffar str.), respectively. Queuing models involve key features, such as population size, queuing discipline (SIRO, LCFS, FCFS, GD), arrival process, waiting process, and service channels. The Shekhi-Choli Intersection's current queuing scheme to service drivers is (M/M/1):(FCFS/∞/∞) model. As a result, the Erbil traffic police division must decide to provide suitable instruction for the first and second lines in order to minimize driver waiting time. To obtain more reliable information and findings, new studies should be conducted on the same site for three periods of time (morning, afternoon, and evening), in addition to other crowded intersections in Erbil city.