Book Details

Probability And Queueing Theory

Probability And Queueing Theory

Published by uLektz

Course Code:MA6453

Author:uLektz

University: Anna University, Tamil Nadu

Regulation:2013

Categories:Engineering Mathematics

Format : ico_bookePUB3 (DRM Protected)

Type :eBook

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Description :Probability And Queueing Theory Probability And Queueing Theory of MA6453 for Anna University, Tamil Nadu, 2013 Author: uLektz, Published by uLektz. It is an eBook of ePUB (DRM Protected). No physical or print copy will be shipped. This eBook can accessed via uLektz Platform.

Note : No printed book. Only ebook. Access eBook using uLektz apps for Android, iOS and Windows Desktop PC.

Topics
UNIT I RANDOM VARIABLES

1.1 Discrete and continuous random variables

1.2 Moments

1.3 Moment generating functions – Binomial, Poisson, Geometric, Uniform, Exponential, Gamma and Normal distributions.

UNIT II TWO - DIMENSIONAL RANDOM VARIABLES

2.1 Joint distributions

2.2 Marginal and conditional distributions

2.3 Covariance

2.4 Correlation and Linear regression

2.5 Transformation of random variables.

UNIT III RANDOM PROCESSES

3.1 Classification

3.2 Stationary process

3.3 Markov process

3.4 Poisson process

3.5 Discrete parameter Markov chain

3.6 Chapman -Kolmogorov equations

3.7 Limiting distributions.

UNIT IV QUEUEING MODELS

4.1 Markovian queues

4.2 Birth and Death processes

4.3 Single and multiple server queuing models

4.4 Little’s formula, Queues with finite waiting rooms, Queues with impatient customers,

4.5 Balking and reneging

UNIT V ADVANCED QUEUEING MODELS

5.1 Finite source models

5.2 M/G/1 queue-Pollaczek Khinchin formula

5.3 M/D/1 and M/EK/1 as special cases

5.4 Series queues

5.5 Open Jackson networks.

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