Non-Poisson queue with normal logistic distribution (case study in Semarang automatic toll gate)

Abstract

Queue theory is a method that can be used to analyze the performance of a service system. This study aims to apply queue theory for analysis system performance's size at the Gayamsari Toll Gate by using data obtained through observation. Then the analysis step starts with checking the steady state assumption, goodness of fit tests to data, determines the queue model, and calculates the system performance's size. Based on analysis with Sigma Magic software, the results of the study obtained queue model with normal distribution on the number of arrivals and logistic distribution on the number of services data. From this model, it can be used to calculate the service system performance's size at the Gayamsari Toll Gate. The result of this calculation include estimates of the waiting time and the number of vehicles in the system or queue. It can be concluded that the service system at the Gayamsari Toll Gate is in good condition because the waiting time is less than half minute.