Application of Queuing Theory to Petrol Stations in Benin-City Area of Edo State, Nigeria
The formation of waiting lines is a common phenomenon that occurs whenever the current demand for a service exceed the current capacity to provide that service. Decisions regarding the amount of service to provide must be made frequently in industries even though, it is often impossible to predict accurately when units will arrive to seek service and how much time will be required to provide that service. This paper reports on a study conducted on five petrol stations in Benin City, namely: Oando petrol station Akpakpava, AP petrol station Ugbowo, Total petrol station Iselu, NNPC petrol station Benin-Auchi Road and NNPC Mega filling station Benin-Sapele Road. The average arrival rate of customers per hour for the five petrol filling stations were obtained as 95.4, 97.4, 98.5, 99.6 and 177.8 respectively while the average departure rate of customers per hour were obtained as 86.2, 89, 89.7, 91.7, and 171.6 respectively. The results show that queues exist in each of the five petrol stations. It was also observed that the waiting time in the queue and service time at the five petrol filling stations decrease with increase in the number of servers.