ABSTRACT

Queueing theory is a very versatile scientific discipline. It can be used to model computer systems, telecommunication networks, and several other applications. The Internet is a prime example of a network of queues. The purpose of queueing theory is to evaluate the response time of the customers and the efficiency of the servers. Study of queueing theory is useful in evaluating response time metric and buffer resources. Queue-theoretic terminology and notation is initially introduced. This is followed by the statement and proof of the ubiquitous Little’s law. Human beings also encounter queueing situations frequently. The performance of a queueing system depends upon the number of servers. In the birth-and-death process based queueing systems, the interarrival times of customers and the server-processing times have exponential distributions. In the queueing system, the customer population, and the waiting space are assumed to be infinite. An opening queueing network is made up of several interconnected queueing centers.