Question 1 (Markov Process) Suppose that the 2005 state of land use in a city of 70 miles2 of built-up area is C: Commer
Posted: Sun May 15, 2022 10:45 pm
Question 1 (Markov Process) Suppose that the 2005 state of land use in a city of 70 miles2 of built-up area is C: Commercially Used 20% 1: Industrial Used 15% R: Residentially Used 65% (a) Find the states in 2010, 2015 and 2020, assuming that the transition probabilities for 5- year intervals are given by the matrix A and remain practically the same over the time considered. From C From / From R 10.6 0.1 0.21 to C A = 0.4 0.1 0.4 to I 0 0.8 0.41 to R (b) Write a program for a Markov process. Use it to calculate further steps in (a). (c) Find eigenvalue and eigenvector, then estimate the ratio C:I: R.