Book Details

Probability and Queuing Theory

Probability and Queuing Theory

Published by uLektz

Course Code : ULZ0092
Author : uLektz
University : General for All University
Regulation : 2017
Categories : General Engineering
Format : ico_bookePUB3 (DRM Protected)
Type :

eBook

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Description :Probability and Queuing Theory of ULZ0092 covers the latest syllabus prescribed by General for All University for regulation 2017. Author: uLektz, Published by uLektz Learning Solutions Private Limited.

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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