![]() ![]() 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.įinite source models – M/G/1 queue – Pollaczek Khinchin formula – M/D/1 and M/EK/1 as special cases – Series queues – Open Jackson networks. Joint distributions – Marginal and conditional distributions – Covariance – Correlation and Linear regression – Transformation of random variables.Ĭlassification – Stationary process – Markov process – Poisson process – Discrete parameter Markov chain – Chapman Kolmogorov equations – Limiting distributions. Discrete and continuous random variables Moments Moment generating functions Binomial, Poisson, Geometric, Uniform, Exponential, Gamma and Normal distributions. UNIT II TWO – DIMENSIONAL RANDOM VARIABLES 9+3 ![]() To provide the required mathematical support in real life problems and develop probabilistic models which can be used in several areas of science and engineering.ĭiscrete and continuous random variables – Moments – Moment generating functions – Binomial, Poisson, Geometric, Uniform, Exponential, Gamma and Normal distributions. ![]()
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