MA8402 Probability and Queuing Theory (PQT)

MA8402 Probability and Queuing Theory (PQT) 

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Prepared by  
     S.Santhosh (Admin) 
Important questions 
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UNIT -1 

1. MGF, CDF**
2. Poisson distribution and exponential distribution
UNIT-2
1. Correlative and regression**
2. Discrete and continuous based problems 
UNIT-3
1. WSS problems (rare:SSS )
2. Poisson based probelms (properties)
UNIT-4
1.Single and multiple server queueing models
2.Queues with impatient customers
UNIT-5
1.Pollaczek Khinchin formula
2.M/G/1 queue
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SYllabuS

UNIT I PROBABILITY AND RANDOM VARIABLES 
Probability — Axioms of probability — Conditional probability — Baye?s theorem — Discrete and continuous random variables — Moments — Moment generating functions — Binomial, Poisson, Geometric, Uniform, Exponential and Normal distributions.
UNIT II TWO — DIMENSIONAL RANDOM VARIABLES 
Joint distributions — Marginal and conditional distributions — Covariance — Correlation and linear regression — Transformation of random variables — Central limit theorem (for independent and
identically distributed random variables).
UNIT III RANDOM PROCESSES 
Classification — Stationary process — Markov process — Poisson process — Discrete parameter Markov chain — Chapman Kolmogorov equations — Limiting distributions.
UNIT IV QUEUEING MODELS 
Markovian queues — Birth and death processes — Single and multiple server queueing models —
Little?s formula — Queues with finite waiting rooms — Queues with impatient customers : Balking
and reneging.
UNIT V ADVANCED QUEUEING MODELS 
Finite source models — M/G/1 queue — Pollaczek Khinchin formula — M/D/1 and M/EK/1 as special cases — Series queues — Open Jackson networks.
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