Queuing Theory and Its Application Analysis on Bus Services Using Single Server and Multiple Servers Model

Abstract

This research work is based on queuing theory and its application analysis on bus services using single server and multiple servers’ models, a case study of Federal Polytechnic transport system, Kaura Namoda. The aim of this paper is to compare the parameters of single server and multiple servers’ models. Primary data was employed using observation method in the course of conducting this research. The data was analyzed, using manual computations to validate the results. The research revealed that the traffic intensity, average number of customers in the system, average number of customers in the queue, average time spent in the system, Average time spent in the queue of a single server and multiple servers are 0.9355,14.5, 13.5645,0.25, 0.2339 and 0.4677, 1.1974, 0.2619, 0.0206,0.0045 respectively. This therefore indicates that the multiple servers’ model is more efficient than single server model as it minimizes these parameters. It is therefore recommended that the management should provide more school buses in order to reduce the traffic congestion.