Probability And Queuing Theory Important Topics

Probability And Queuing Theory Important Topics

MA6453 PROBABILITY AND QUEUEING THEORY Important Topics to Clear M4

Anna University

AFFILIATED INSTITUTIONS

MA6453 PROBABILITY AND QUEUEING THEORY

UNIT I RANDOM VARIABLES

Discrete and continuous random variables

Moment generating functions

Gamma distribution

UNIT II TWO – DIMENSIONAL RANDOM VARIABLES

Conditional distributions

Transformation of random variables

UNIT III RANDOM PROCESSES

Markov process

Poisson process

Chapman Kolmogorov equations

UNIT IV QUEUEING MODELS

Multiple server queueing model

Littleā€Ÿs formula

Balking and reneging

UNIT V ADVANCED QUEUEING MODELS

Pollaczek Khinchin formula

Series queues

Open Jackson networks