Probability and Queuing Theory (Anna University)

Product Code: PQT1
Availability: 8
Price: ₹399.00 ₹260.00

Author: G. Balaji
Publication: Balaji

UNIT I RANDOM VARIABLES 9 + 3
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 9 + 3
Joint distributions - Marginal and conditional distributions – Covariance - Correlation and
regression - Transformation of random variables - Central limit theorem.


UNIT III MARKOV PROCESSES AND MARKOV CHAINS 9 +3
Classification - Stationary process - Markov process - Markov chains - Transition
probabilities - Limiting distributions-Poisson process


UNIT IV QUEUEING THEORY 9 + 3
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 9 + 3
M/G/1 queue- Pollaczek- Khintchine formula, series queues- open and closed networks

 

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