Analysis of waiting lines and service facilities: a study using M/M/1 and M/D/1 queuing models Stephanie

The increase in vehicles nowadays has led to many problems on the road, especially traffic congestion. Traffic congestion usually occurs during the busy hour, for example, in the morning and evening. This might happen because of the busy city and fewer people want to commute using public transport. Therefore, this project aims to analyse the waiting lines and service facilities by applying two queuing models, M/M/1 and M/D/1, to overcome traffic congestion. The project took place at the traffic light located in front of UiTM Seremban Campus, where the data is collected during the morning time, which is from 7.00 am to 8.00 am. The data collection is conducted for four types of traffic, assigned as Traffic A, B, C, and D. The project's primary focus is to analyse the performance of M/M/1 and M/D/1 models regarding waiting times and queue lengths. This project will compare the performance of both models under similar conditions, such as the duration of traffic lights. As a result, this project has proven that the M/D/1 model consistently outperformed another model, M/M/1, in reducing traffic delays. M/D/1 has displayed a lower average for vehicle count and waiting time in the system and queue. In the future, the consideration of vehicle type can be highlighted because it could directly influence the waiting time at traffic lights.