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Matematisk modellering

Elementary Introduction To Queueing Systems, An

Udgivet af World Scientific Publishing Co Pte Ltd

Bogdetaljer

  • Indbundet
  • 116 sider
  • Engelsk
ISBN 9789814612005
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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…

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Bogdetaljer
Forfatter Wah Chun Chan
Forlag World Scientific Publishing Co Pte Ltd
Kategori Matematisk modellering
ISBN-13 9789814612005
EAN 9789814612005
Format Indbundet
Sprog Engelsk
sider 116
Produktbeskrivelse
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.

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