A CASE STUDY OF VEHICLE TOLL PLAZA SERVICE TIME SEQUENCES FOR DESIGNING POISSON QUEUE BIRTH DEATH MODEL

Abstract

In this study, we have a designed a queue model from the observation of arrival, ser vices and departure of vehicles at a toll plaza. Using the system process and appropriate algorithm, we have minimized the waiting time and by the way improve the service facil ity. Based on the arrival frequency of the vehicle numbers the extra service counter are likely to be opened in the toll liners and as a consequence the customer vehicle has to wait less time in a queue. Ultimately, the vehicle can also save fuel oil as compared to waiting vehicle queue lines. In this process, we reformulate the standard Poisson queue birth death theorem that relating vehicle’s arrival for services and completion of services theorems in briefly. An application of vehicle queue in the traffic route is also illustrated with an example.