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

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter13: Energy And Power
Section: Chapter Questions
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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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