welcome. subject code - ma1252 subject - probability and subject code - ma1252 subject - probability...
TRANSCRIPT
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2 FOURTH SEMESTER
WELCOME
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SUBJECT CODE - MA1252 SUBJECT - PROBABILITY AND QUEUEING THEORY
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OBJECTIVES
By the end of this paper, the student should be able to:
Recognize and understand Probability distribution functions, in general.
Calculate and interpret expected values. Recognize the probability distribution and
apply it appropriately. Recognize the joint probability
distribution and apply it appropriately (optional).
Recognize the queues and queueing network apply it appropriately (optional).
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TEACHING PLAN
UNIT-I - 14 HRSUNIT-II - 12 HRSUNIT-III - 13 HRSUNIT-IV - 14 HRSUNIT-V - 14
HRS
TOTAL - 67 HRS
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UNIT-I RANDOM VARIABLE & DISTRIBUTION FUNCTION RANDDOM VARIABLE CONTINUOUS RANDOM VARIABLE PROBABILITY DENSITY FUNCTION CUMULATIVE DISTRIBUTION FUNCTION DISCRETE RANDOM VARIABLE PROBABILITY DISTRIBUTION FUNCTION CUMULATIVE DISTRI BUTION FUNCTION MOMENT GENERATING FUNCTION PROPERTIES
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DISTRIBUTION FUNCTION
BINOMIAL GEOMETRIC NEGATIVE BINOMIAL UNIFORM EXPONENTIAL GAMMA WEIBULL
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UNIT-IITWO DIMENSIONAL R.V’S TWO DIMENSIONAL RANDOM
VARIABLES JOINT PROBABILITY DISTRIBUTION MARGINAL PROBABILITY
DISTRIBUTION COVARIANCE CORRELATION AND REGRESSION TRANSFORMATION OF RANDOM
VARIABLES CENTRAL LIMIT THEOREM
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UNIT-IIIMARKOV PROCESSES & MARKOV CHAIN RANDOM PROCESSES STATIONARY PROCESSES MARKOV CHAIN KOLMOGROV DIFFERENTIAL
EQUATION TRANSISTION PROBABILITY POISSON PROCESSES
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UNIT-IVQUEUEING THEORY MARKOVIAN MODELS SIMPLE QUEUE KENDALL’S NOTATION SINGLE SERVER QUEUEING
MODEL MULTI SERVER QUEUEING
MODEL FINITE SOURCE QUEUEING
MODEL
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SIMPLE QUEUE
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MULTIPLE QUEUE
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UNIT-VNON-MARKOVIAN QUEUE & QUEUE NETWORK NON-MARKOVIAN QUEUEING
MODEL POLLACZEK-KHINTCHINE
FORMULA QUEUEING NETWORK OPEN QUEUEING NETWORK CLOSED QUEUEING NETWORK
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CLOSED QUEUEING NETWORK
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OPEN QUEUEING NETWORK
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TEXT & REFERENCE BOOKS:
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THANK YOU