The International Institute for Science, Technology and Education (IISTE)
Abstract
This paper evaluates the performance of ATM machine in Nigeria banking sector using queue theory model. A few simple queues-models were analysed in terms of steady-state derivation. Theoretical formulations and results (with real-life dataset) were established for queue models with Poisson arrivals and exponential service durations. Derivation and calculation of some performance measure including the average queue length, average waiting time in the queue and in the system, and the probability of encountering the system in certain states such as empty, full having an available server or having to wait a certain time to be served were explored under single and multi-server. FIFO (first in, first out) queue discipline was adopted. Keywords: Steady state, waiting-time, queue-discipline, multi-severs, FIFO (first in, first out)
