Warning

Additional lesson Monday 17-01-2005

Program and Methodology

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Textbook

K.S. Trivedi
"Probability and Statistics with Reliability, Queuing, and Computer Science Applications"
Wiley-Interscience; 2001
ISBN: 0-471-33341-7
can be bought on-line AT Amazon or directly from the Wiley Web Site .

2-3 copies are available in the University and Faculties Libraries;

We also make some reference to
G. Bolch, S. Greiner, H. de Meer, K.S. Trivedi,
"Queueing Networks and Markov Chains : Modeling and Performance Evaluation With Computer Science Applications"
Wiley-Interscience; 1998
ISBN: 0-471-19366-6
(can be bought on-line AT Amazon or directly from the Wiley Web Site).
This is a more advanced and complete textbook on Performance Modeling, with a lot of reverences to advanced material for model solutions.


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Esams

The exam is written, lasting normally 3 hours, mainly based on exercises, plus a possible oral integration that either you can ask if you're not satisfied with the written part (beware that the result is not necessarily additive!), or I can ask for, if I cannot formulate a proper judgment after the written part.
The exam can include exercises and theoretical, open questions as well.

Refer to ESSE3 for the remaining burocracy.

Exam of September 8 2005

• Results

• See the schedule for the present academic year.

• An example based on this year lessons
• As additional examples you can take the examples and exams of the course "Sistemi Operativi: Temi Avanzati'' of the years 2002/03 and 2003/04.

Additional Material and Slides

There is nothing that can substitute the textbook, but I post here all the material that can be useful in completing your preparation in performance modeling, starting from the slides I sometimes use in class.

• Introduction to Modeling, Performance Evaluation and Stochastic approaches.
  Why do we need to model a system?
  Why do we need models in science and Engineering?
  • PDF - slides
  • PDF - handouts
• Discrete Time Markov Chains and some applications
  • PDF - slides
  • PDF - handouts
• Random Variables Primer: Slides and Problems
  • Introduction PDF - slides
  • Introduction PDF - handouts
  • Discrete RV PDF - slides
  • Discrete RV PDF - handouts
  • Continuous RV PDF - slides
  • Continuous RV PDF - handouts
  • Expectations PDF - slides
  • Expectations PDF - handouts
  • PDF - Problems and Excercises
• Exercises
  • Exercises on Discrete Time Markov Chains
  • Exercises on Continuous Time Markov Chains (CTMC)
  • Exercises on single sueueing stations (one or more servers)
  • Exercises on Queueing Networks
  • Some Exercises Solutions
  • Some solved exercises on single queues
  • Some solved exercises on queueing networks

As usual also this year you can use as additional support (in Italian!!) the lecture notes on Markov Chains and Queueing Networks prepared by Profs. Marco Ajmone Marsan e Fabio Neri, who I thanks for the right of use they granted me.

• Catene di Markov
• Sistemi a Coda e Reti di Code

Meeting me

The most obviouse place to query, ask for clarifications, rise doubts and so on is the class, so tath everybody can intervene and be aware of clarifications. Questions can be done in Italian!!
Further minor queries can be done at the end (or before) the lesson.
If additional time is needed for complex queries or long problems send me an e-mail for an appointment. Try to specify the reason in the e-mail, this helps me preparing the answer and helps you formalizing it. Please, avoi dropping-by the office. Normally I cannot receive you on the fly and the only result is a waste of time. I do not set up a formal receiving hour: you can come at any time, just take an appointment.
If you have small quick doubts I can also try to solve them via e-mail, so that you don't need to come to my office for a 30 second answer!