MA6453 / MA2262 Probability and Queueing Theory Scanned Lecture Notes - Kamalapriya

  • 5Feb
  • 2015
  • 0
    5.8k
       
    Anna University , Chennai
    Department of B.E-Computer Science and Engg
    Fourth Semester
    MA6453 / MA2262 Probability and Queueing Theory
    Scanned Lecture Notes (All Units)
    (Regulation 2013 / 2008)
    Arrow Attachment : Click Here

    Syllabus :

    UNIT-1

    RANDOM VARIABLES
    UNIT-2
    TWO DIMENSIONAL RANDOM VARIABLES
    UNIT-3
    RANDOM PROCESSES / MARKOV PROCESS AND MARKOV CHAIN
    UNIT-4
    QUEUEING MODELS / THEORY
    UNIT-5
    ADVANCED QUEUEING MODELS / NON-MARKOVIN MODELS AND NETWORK MODELS

    Content :
    UNIT-1
    RANDOM VARIABLES
    1. Deterministic
    2. Random
    Sample space
    Types of random variables
    1. Discrete rv
    2. Continuous rv
    Probability mass function
    Probability density function
    Cumulative distribution function
    Probability distribution
    Mathematical expectation
    Moment about origin
    Moment about mean
    Binomial distribution
    Poisson distribution
    Geometric distribution
    Exponential distribution
    Wribull distribution

    UNIT-2
    TWO DIMENTIONAL RANDOM VARIABLES
    Discrete random variable
    Marginal distribution
    Conditional probability
    Two dimensional continuous RV
    Marginal PDF
    Correlation
    Correlation co efficient
    Procedure
    Correlation coefficient if table value is given
    Regression
    Transformation of one RV
    Transformation of two RV
    Central limit theorem
    Liapounoff’s form
    Lindberg-levy’s form

    UNIT-3
    MARKOV PROCESSES AND MARKOV CHAIH
    Random process
    Classification of random process
    1. Discrete random sequence
    2. Discrete random processs
    3. Continuous random sequence
    Auto correlation
    Stationary random process
    First order stationary
    Second order stationary process
    Wide sense stationary
    Markov process
    Poisson process
    Probability law of poisson process
    Mean of poisson process
    Varience of poisson process

    UNIT 4
    QUEUEUING THEORY
    Queue
    Characteristics of queueing system
    1. Input or arrival pattern
    2. Service pattern
    3. No of service channel System
    4. Capacity
    5. Queue discipline
    Kendall’s notation of a queueing system

    UNIT-5
    NON MORKOVIAN QUEUES AND QUEUE NETWORK
    Queue network
    1. Open queueing network
    2. Closed queueing network
    Series queues
    Two stage series queues
    Series queue with blocking
    Open Jackson network

    Arrow Attachment : Click Here
    New Share your Study Materials with us : Click Here