BILKENT
UNIVERSITY
CS 511 Introduction to Performance Modelling, Fall '97
(9:40-10:30 M, 13:40-15:30 Th, EA-502)
Dr. Tugrul Dayar
Department of Computer Engineering and Information Science (521 Engineering
Building)
e-mail: tugrul@cs.bilkent.edu.tr
Office Hours: 13:40-14:30 T, 13:40-14:30 W (or if this is not possible,
by appointment from 1981) Course Description:
Introduction to modelling, review of probability theory, transforms
in probability theory, programming simulations, analyzing simulation results,
stochastic processes and Markov chains (MCs), discrete vs continuous time MCs,
state classification, numerical solution techniques (direct, iterative)
Little's result, M/M/1, M/M/infinity, M/M/1/L/M queues, non-birth-death
systems (M/E_{r}/1), non-Markovian systems (M/G/1), routing chain, M =>
M property, local balance, solving open networks, solving closed networks,
convolution, mean value analysis, stochastic automata networks,
reliability and availability models, case studies.
Prerequisites:
See me.
Course Objectives:
The purpose of this course is to acquaint you with tools for modeling
and studying the performance of computer systems (and communication networks).
At the end of the course you should be able to:
Apply queueing based models to characterize computer (and communication
systems).
Use appropriate analytical and/or numerical tools to compute performance
measures of interest (i.e., thruput, response time, etc) for a given
queueing system.
Select the system characateristics (e.g., memory capacity) to
achieve a given level of performance.
Compare the relative merits of alternative system designs.
References:
Gelenbe, E. and Mitrani, I., Analysis and Synthesis of Computer
Systems,
Academic Press, New York, 1980. QA76.9.E94G281 1980
Gelenbe, E. and Pujolle, G., Introduction to Queueing Networks,
Wiley, New York, 1987. T57.9.G4513 1987
Jain, R., The Art of Computer Systems Performance Analysis: Techniques
for Experimental Design, Measurement, Simulation, and Modeling ,
Wiley, New York, 1991. QA76.9.E94J32 1991
King, P. J. B., Computer and Communication Systems Performance
Modelling,
Prentice-Hall, New York, 1990. QA76.9.E94K56 1990
Kleinrock, L., Queueing Systems Vols. I and II,
Wiley, New York, 1975. T57.9K6 1975
Lavenberg, S. S., Ed., Computer Performance Modeling Handbook,
Academic Press, New York, 1983. QA76.9.E94C66 1983
Lazowska, E. D., Zahorjan, D., Graham, G. S., and Sevcik, K. C.,
Quantitative System Performance: Computer System Analysis Using Queueing
Network Models,
Prentice-Hall, Englewood Cliffs, N.J., 1984. QA76.9.E94Q36 1984
Mitrani, I., Modelling of Computer and Communication Systems,
Cambridge University Press, New York, 1987. QA76.9.C65M56 1987
Molloy, M. K., Fundamentals of Performance Modeling,
Macmillan, New York, 1989.
Sahner, R., Trivedi, K. S., and Puliafito, A., Performance and
Reliability Analysis of Computer Systems: An Example-Based Approach Using
the SHARPE Software Package,
Kluwer, Boston, 1996. QA76.9.E94S23 1996
Stewart, W. J., Introduction to the Numerical Solution of Markov
Chains,
Princeton University Press, Princeton, N.J., 1994. QA274.7.S74 1994
Course Outline:
Overview of probability theory (Ch.2 in [9])
Transform theory (Ch.3 in [9])
Simulation (Ch.4 in [9])
Markov models, numerical solution techniques (Ch. 5 in [9]; Chs. 1-3
in [11])
Single queues (Ch.6 in [9])
Network of queues (Ch. 7 in [9])
Stochastic Automata Networks (Ch. 9 in [11])
Reliability and Availability Models (Ch. 2 in [10])
Case studies (Ch. 8 in [9]; [3])
Note: In order to use matlab, which is available in the bcc domain,
please check the CS 471 course home page.
Also there is a wealth of software at netlib (especially the directory random may be of interest).
Grading:
Homework (not graded)
Homework 1 (Due September 25)
Homework 2 (Due October 9)
Homework 3 (Due November 4)
Homework 4 (Due December 4)
Midterm (30%, November 13, 14:00-15:30, EA502).
Project (30%)
Project:
An Aggregation Technique for the Transient Analysis of Stiff
Markov Chains (December 12, 17:00 LATEST!)
Final (40%, December 18 (thursday), 13:30-16:00, EA502).