# How are queueing systems analyzed?

August 13, 2014

"In the analysis of a physical system, the first step is to derive a mathematical model for the system. However, it is important to note that mathematical models, in general, may assume many different forms," said Emeritus Professor Chan Wah Chun, "Depending on the particular system, one mathematical model may be more suitable than others."

Professor Chan's latest book "An Elementary Introduction to Queueing Systems" aims to highlight the fundamental concepts of queueing systems. He draws from his three decades of experience in teaching and research, to illustrate the fundamental principles and rationale behind complex mathematical concepts of the subject.

Commencing with mathematical modeling of the arrival process (input) of customers to the system, Professor Chan showed that the arrival process can be described mathematically either by the number of arrival customers in a fixed time interval, or by the inter-arrival time between two consecutive arrivals.

In the analysis of queueing systems, he emphasised the importance of exponential service time of customers, where the analysis can be simplified by using the birth and death process as a model, and queueing systems can be analysed by choosing the proper arrival rate and service rate. This approach facilitates the analysis of many queueing systems.

Written in a fairly readable format, students wishing to master the core principles of queueing theory will be able to grasp them quickly.
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