MA2262 PROBABILITY AND QUEUEING THEORY Lecture Notes ( PQT Notes) Common to CSE & IT Departments - by R.Anirudhan

MA2262 PROBABILITY AND QUEUEING THEORY Lecture Notes (PQT Notes) Common to CSE & IT Departments


MA2262 Lecture Notes

Syllabus :


UNIT I RANDOM VARIABLES
Discrete and continuous random variables - Moments - Moment generating functions
and their properties. Binomial, Poisson ,Geometric ,Negative binomial, Uniform,
Exponential, Gamma, and Weibull distributions .

UNIT II TWO DIMENSIONAL RANDOM VARIABLES
Joint distributions - Marginal and conditional distributions – Covariance - Correlation and
regression - Transformation of random variables - Central limit theorem.

UNIT III MARKOV PROCESSES AND MARKOV CHAINS
Classification - Stationary process - Markov process - Markov chains - Transition
probabilities - Limiting distributions-Poisson process

UNIT IV QUEUEING THEORY
Markovian models – Birth and Death Queuing models- Steady state results: Single and
multiple server queuing models- queues with finite waiting rooms- Finite source models-
Little’s Formula

UNIT V NON-MARKOVIAN QUEUES AND QUEUE NETWORKS
M/G/1 queue- Pollaczek- Khintchine formula, series queues- open and closed networks





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