1 CS 6910 – Pervasive Computing Spring 2007 Section 2 (Ch.2): Probability, Statistics, and Traffic...
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1 CS 6910 – Pervasive Computing Spring 2007 Section 2 (Ch.2): Probability, Statistics, and Traffic Theories Prof. Leszek Lilien Department of Computer Science Western Michigan University Slides based on publisher’s slides for 1 st and 2 nd edition of: Introduction to Wireless and Mobile Systems by Agrawal & Zeng © 2003, 2006, Dharma P. Agrawal and Qing-An Zeng. All rights reserved. Some original slides were modified by L. Lilien, who strived to make such modifications clearly visible. Some slides were added by L. Lilien, and are © 2006-2007 by Leszek T. Lilien. Requests to use L. Lilien’s slides for non-profit purposes will be gladly granted upon a written request.
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Transcript of 1 CS 6910 – Pervasive Computing Spring 2007 Section 2 (Ch.2): Probability, Statistics, and Traffic...
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CS 6910 – Pervasive ComputingSpring 2007
Section 2 (Ch.2):
Probability, Statistics, andTraffic Theories
Prof. Leszek LilienDepartment of Computer Science
Western Michigan University
Slides based on publisher’s slides for 1st and 2nd edition of: Introduction to Wireless and Mobile Systems by Agrawal & Zeng
© 2003, 2006, Dharma P. Agrawal and Qing-An Zeng. All rights reserved.
Some original slides were modified by L. Lilien, who strived to make such modifications clearly visible. Some slides were added by L. Lilien, and are © 2006-2007 by Leszek T. Lilien.
Requests to use L. Lilien’s slides for non-profit purposes will be gladly granted upon a written request.
Copyright © 2003, Dharma P. Agrawal and Qing-An Zeng. All rights reserved 2
Chapter 2
Probability, Statistics, and Traffic Theories
Copyright © 2002, Dr. Dharma P. Agrawal and Dr. Qing-An Zeng. All rights reserved
Copyright © 2003, Dharma P. Agrawal and Qing-An Zeng. All rights reserved 3
Outline of Chapter 2We skip almost all sections in this Chapter
You have to use it on your own if needed (e.g., for your project)
Chapter 2 Contents: 2.1. Introduction 2.2. Basic Probability and Statistics Theories
Random variables Probability mass function (pmf) Probability density function (pdf) Cumulative distribution function (cdf) Expected value, nth moment, nth central moment, and variance Some important distributions
2.3. Traffic Theory Poisson arrival model, etc.
2.4. Basic Queuing Systems Little’s law Basic queuing models
Copyright © 2003, Dharma P. Agrawal and Qing-An Zeng. All rights reserved 4
2.1. Introduction
Many factors influence the performance of wireless systems: Density of mobile users Cell size Moving direction and speed of users
Defined by mobility models Call rate, call duration Interference, etc.
Probability, statistics theory and traffic patterns, help make these factors tractable
Copyright © 2003, Dharma P. Agrawal and Qing-An Zeng. All rights reserved 5
2.1. Introduction
Many factors influence the performance of wireless systems: Density of mobile users Cell size Moving direction and speed of users
Defined by mobility models Call rate, call duration Interference, etc.
Probability, statistics theory and traffic patterns, help make these factors tractable
Copyright © 2003, Dharma P. Agrawal and Qing-An Zeng. All rights reserved 6
Skipped 2 Subsections
Copyright © 2003, Dharma P. Agrawal and Qing-An Zeng. All rights reserved 7
2.4. Basic Queuing Systems What is queuing theory?
Queuing theory is the study of queues Sometimes called waiting lines
Can be used to describe: Real world queues, or Abstract queues
Found in many branches of computer science, such as OSs
Basic queuing theory
Queuing theory is divided into 3 main sections: Traffic flow Scheduling Facility design and employee allocation
Much more in the textbook
Copyright © 2003, Dharma P. Agrawal and Qing-An Zeng. All rights reserved 8
Skipped all Remaining Subsections
Copyright © 2003, Dharma P. Agrawal and Qing-An Zeng. All rights reserved 9
The End of Section 2
