1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Markov Transition Matrix

  1. Feb 21, 2008 #1
    A dynamic interurban of people shows the following Markov Transition Matrix of residents to urban, suburban and rural areas:

    __________Urban___Suburban____Rural
    Urban ........... a................b...............y
    suburban...... o..............q..............z
    Rural ............ 1-a-o .........1-b-q ....... 1-y-z

    A = 0.9
    O = 0.05
    B = 0.1
    Q = 0.7
    Y = 0.1
    Z = 0.1

    Solve the problem knowing that the vector answer today is
    Uo ............ 10
    (SUo) = (.... 40)
    Ro ............ 50


    What vector response to t = 2 vector and what is the answer in the long run. Remember that
    Ut
    (SUt) = Aλ1 ^ tX1 + Bλ2 ^ tX2 + Cλ3 ^ tX3
    Rt

    any bibliography suggestion?
     
  2. jcsd
  3. Feb 21, 2008 #2

    EnumaElish

    User Avatar
    Science Advisor
    Homework Helper

  4. Feb 24, 2008 #3
    New question

    [q1 q2 q3] x [ 0,1 -0,05 -0,05] = [ 0 0 0 ]
    ....................-0,7..1......-0,3
    ....................-0,8..0......0,8

    0,1q1 - 0,7q2 -0,8q3 =0
    -0,5q1 +q2 = 0
    -0,5q1 -0,3q2+0,8q3=0

    q1+q2+q3=1

    q1=?
    q2=?
    q3=?
    Cramer doesnt work!
     
  5. Feb 24, 2008 #4
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?