Anna University MA6453 Probability and Queuing Theory Syllabus Regulation 2013 MA6453 Pqt Syllabus

Anna University MA6453 Probability and Queuing Theory is Regulation 2013 Subject. It is Cse It department 4th semester subject. MA6453 Pqt Syllabus pdf File has been attached below. Please have a MA6453 Probability and Queuing Theory Syllabus of Regualtion 2013 copy with you for studies.

Anna University MA6453  Probability and Queuing Theory Syllabus  Regulation 2013

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MA6453 Probability and Queuing Theory Pqt Syllabus Regulation 2013 MA6453 Syllabus 

MA 6453 PROBABILITY AND QUEUEING THEORY L T P C

OBJECTIVE:
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.

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

UNIT III RANDOM PROCESSES 9+3
Classification - Stationary process - Markov process - Poisson process - Discrete parameter Markov chain - Chapman Kolmogorov equations - Limiting distributions.

UNIT IV QUEUEING MODELS 9+3
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 9+3
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.

TOTAL (L:45+T:15): 60 PERIODS

OUTCOMES:
 The students will have a fundamental knowledge of the probability concepts.
 Acquire skills in analyzing queueing models.
 It also helps to understand and characterize phenomenon which evolve with respect to time in a probabilistic manner.

TEXT BOOKS:
Ibe. O.C., "Fundamentals of Applied Probability and Random Processes", Elsevier, 1st Indian Reprint, 2007.
Gross. D. and Harris. C.M., "Fundamentals of Queueing Theory", Wiley Student edition, 2004.

REFERENCES:
Robertazzi, "Computer Networks and Systems: Queueing Theory and performance evaluation", Springer, 3rd Edition, 2006.
Taha. H.A., "Operations Research", Pearson Education, Asia, 8th Edition, 2007.
Trivedi.K.S., "Probability and Statistics with Reliability, Queueing and Computer Science Applications", John Wiley and Sons, 2nd Edition, 2002.
Hwei Hsu, "Schaum’s Outline of Theory and Problems of Probability, Random Variables and Random Processes", Tata McGraw Hill Edition, New Delhi, 2004.
Yates. R.D. and Goodman. D. J., "Probability and Stochastic Processes", Wiley India Pvt. Ltd., Bangalore, 2nd Edition, 2012.

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