MA8402 Probability and Queueing Theory Syllabus Notes Question Paper Question Banks with answers Anna University
Anna University Probability and Queueing Theory Syllabus Notes Question Bank Question Papers Regulation 2017
MA8402 Probability and Queueing Theory Syllabus Regulation 2017
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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