Lecture notes for Autumn - 2006
Self Study Portion
Section 8.5: "Markov chain with absorbing states". To understand this well you will need to go through some pre-requisites. First re-read Section 8.1 (derivation not necessary to understand, but you must understand how to use Equation 8.17. ). Also, many of the examples in this section are from the field of reliability. Although many terms are self-explanatory, you should read Section 3.3 for a quick primer on all these terms. Lastly, Appendix D gives a quick reference on how Laplace Transforms are be used to solve these differential equations. Note: IGNORE EXAMPLE 8.36 - it is out of our scope.Networking Primer Talks:
Talks on Application Of Models (Fall 2006):
Previous Year Talks
Spreadsheets
In addition these on-line resources are useful
- For a primer in Probability, this On-Line Book from Dartmouth College can be referenced.
- A gentle introduction to some basic queuing concepts, by William Stallings.
- Quantitative Systems Performance, an on-line version of the book on queueing networks by Edward D. Lazowska, John Zahorjan, G. Scott Graham, Kenneth C. Sevcik.
Reference Texts:
- Probability and Statistics with Reliability, Queueing and Computer
Science Applications, by Kishor Trivedi.
- This will be a major reference for the probability refresher, and a lot of the analytical modeling part.
- Simulation Modeling and Analysis, 2nd Ed., by Law and Kelton, McGraw-Hill, 1991.
- Teletraffic - Theory and Applications, Akimaru and Kawashima
- Fundamentals of Queueing Theory , D. Gross and CM Harris, John Wiley and Sons, 1974.
- Queueing Systems - Vol. I & II, by L. Kleinrock, John Wiley and Sons, 1975.
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