Uma Breve Introdução a Teoria das Filas

Abstract

We have that the queues have a remarkable and ordinary presence in our daily lives, and has been following us since the beginning civilization, by its organizing, regulatory nature is a frequent application in several formalities of the most diverse services, and can present itself with a simple or abstract perceptions, thus related concepts of Queue Theory. This dissertation explored the properties of probability and statistics and queue theory, focusing on exponential distribution in such a way that it related the common applications for a better understanding of random variables. With all this, the text presents a brief history of the theory of queues, related to its emergence and the first problem situation, the definitions, characteristics and structures to provide the study, thus related to Kendall’s notation, to focus the studies on exponential distribution. In order to understand the concepts and formulations to relate the models of queues presented, M/M/1, M/M/1 - empowered and M/M/S. Logo, used the models to identify their needs and their variables to be used to solve real problems, such as; box counter queue of a bank branch, queue in supermarket boxes, customer service in a restaurant and waiting time of maintenance of domestic TV appliances.