Analysis of queue and performance of automatic toll booths with a normal distribution (case study: automatic booths toll gate muktiharjo)

Abstract

Queue process is a process related to the arrival of customers in a service facility, waiting in line queue if it cannot be served, get service and finally leaves the facility after being served. Research on the queue process can be seen directly through the queue system. Queue models and their distribution were obtained using the Sigma Magic program. The model of the vehicle queue system at the Muktiharjo Automatic Toll Gate is (NORM/NORM/4):(GD/∞/∞). Based on the values of the queue system performance measures obtained through the MATLAB GUI program as a whole it can be concluded that the queue of vehicles at the Muktiharjo Automatic Toll Gate has a condition where the average number of vehicles estimated in the system every 30 minutes is 99,2564 vehicles. The average number of vehicles in the queue system every 30 minutes is 98,2557 vehicles. The waiting time in the system is estimated to be around 15,51732 seconds. The estimated waiting time in line is around 15,36084 seconds. The queue system has a busy opportunity for 63.2849%. The simulation of the vehicle queue system at the Automatic Toll Gate of Muktiharjo Toll Gate by using ARENA is optimal with 4 automatic toll booths.