An Elementary Introduction to Queueing Systems

Nonfiction, Science & Nature, Technology, Electricity, Electronics
Cover of the book An Elementary Introduction to Queueing Systems by Wah Chun Chan, World Scientific Publishing Company
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Author: Wah Chun Chan ISBN: 9789814612029
Publisher: World Scientific Publishing Company Publication: May 29, 2014
Imprint: WSPC Language: English
Author: Wah Chun Chan
ISBN: 9789814612029
Publisher: World Scientific Publishing Company
Publication: May 29, 2014
Imprint: WSPC
Language: English

The book aims to highlight the fundamental concepts of queueing systems. It starts with the mathematical modeling of the arrival process (input) of customers to the system. It is shown that the arrival process can be described mathematically either by the number of arrival customers in a fixed time interval, or by the interarrival time between two consecutive arrivals. In the analysis of queueing systems, the book emphasizes the importance of exponential service time of customers. With this assumption of exponential service time, the analysis can be simplified by using the birth and death process as a model. Many queueing systems can then be analyzed by choosing the proper arrival rate and service rate. This facilitates the analysis of many queueing systems.

Drawing on the author's 30 years of experience in teaching and research, the book uses a simple yet effective model of thinking to illustrate the fundamental principles and rationale behind complex mathematical concepts. Explanations of key concepts are provided, while avoiding unnecessary details or extensive mathematical formulas. As a result, the text is easy to read and understand for students wishing to master the core principles of queueing theory.

Contents:

  • Modeling of Queueing Systems
  • Queueing Systems with Losses
  • Queueing Systems Allowing Waiting
  • The Engset Loss and Delay Systems
  • Queueing Systems with a Single Server

Readership: Researchers, academics, professionals and graduate students in electrical & electronic engineering, computer engineering and mathematical modeling.

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The book aims to highlight the fundamental concepts of queueing systems. It starts with the mathematical modeling of the arrival process (input) of customers to the system. It is shown that the arrival process can be described mathematically either by the number of arrival customers in a fixed time interval, or by the interarrival time between two consecutive arrivals. In the analysis of queueing systems, the book emphasizes the importance of exponential service time of customers. With this assumption of exponential service time, the analysis can be simplified by using the birth and death process as a model. Many queueing systems can then be analyzed by choosing the proper arrival rate and service rate. This facilitates the analysis of many queueing systems.

Drawing on the author's 30 years of experience in teaching and research, the book uses a simple yet effective model of thinking to illustrate the fundamental principles and rationale behind complex mathematical concepts. Explanations of key concepts are provided, while avoiding unnecessary details or extensive mathematical formulas. As a result, the text is easy to read and understand for students wishing to master the core principles of queueing theory.

Contents:

Readership: Researchers, academics, professionals and graduate students in electrical & electronic engineering, computer engineering and mathematical modeling.

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