An engineering professor acquires a new computer once every two years. The professor can choose from three models: M1, M2, and M3. If the present model is M1, the next computer can be M2 with probability 0.25 or M3 with probability 0.1. If the present model is M2, the probabilities of switching to M1 and M3 are 0.5 and 0.15, respectively. And, if the present model is M3, then the probabilities of purchasing M1 and M2 are 0.7 and 0.2, respectively. Represent the situation as a Markov chain and express the probabilistic activities in the form of transition matrix. Analyzing the problem in (c), Write the steady-state equations

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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  1. An engineering professor acquires a new computer once every two years. The professor can choose from three models: M1, M2, and M3. If the present model is M1, the next computer can be M2 with probability 0.25 or M3 with probability 0.1. If the present model is M2, the probabilities of switching to M1 and M3 are 0.5 and 0.15, respectively. And, if the present model is M3, then the probabilities of purchasing M1 and M2 are 0.7 and 0.2, respectively. Represent the situation as a Markov chain and express the probabilistic activities in the form of transition matrix.
  2. Analyzing the problem in (c), Write the steady-state equations
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