Lecture Notes || SNS Courseware

Subject Details

Dept : CSE

Sem : 4

Regul : 2017

Faculty : Dr.A.Selvakumar

phone : NIL

E-mail : selvam_mphil@yahoo.com

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Lecture Notes

UNIT 1:

Probability – Axioms of probability

Conditional probability

Baye‘s theorem

Tutorial 1

Continuous random variables

Discrete random variables

Moments – Moment generating functions

Tutorial 2

Binomial and Poisson distributions

Geometric and Uniform distributions

Exponential and Normal distributions

Tutorial 3

UNIT 2:

Joint distributions

Marginal distributions

Conditional distributions

Tutorial 4

Covariance

Covariance

Correlation and linear regression

Tutorial 5

Linear regression

Transformation of random variables

Central limit theorem

Tutorial 6

UNIT 3:

Classification - Random Processes

Stationary process

Markov process

Tutorial 7

Markov process

Poisson Process

Poisson Process

Tutorial 8

Discrete parameter Markov chain

Chapman Kolmogorov equations

Limiting distributions

Tutorial 9

UNIT 4:

Markovian queues

Birth and death processes

Single server queueing models

Tutorial 10

Multiple server queueing models

Tutorial 11

Queues with finite waiting room

Queues with impatient customers Balking

Queues with impatient customers Reneging

Tutorial 12

UNIT 5:

Finite source models

M/G/1 queue

M/G/1 queue

Tutorial 13

Pollaczek Khinchine formula

Pollaczek Khinchine formula

M/D/1 and M/Ek/1 as special cases

Tutorial 14

Series queues

Series queues

Open Jackson networks

Tutorial 15