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Consider two machines that are maintained by a single repairman. Each machine functions for an exponentially distributed amount of time with rate  λ=2 before it fails. The repair times for each unit are exponential with rate μ=1. The Markov chain model for this situation has state space indicating the number of machines that are in the repair shop: S={0,1,2}. Notice that you move from 0 to 1 if one of the two machines breaks down. You move from 1 to 0 when the machine in the repair room is repaired.

Consider two machines that are maintained by a single repairman. Each machine functions for an exponentially distributed amount of time with rate  λ=2 before it fails. The repair times for each unit are exponential with rate μ=1. The Markov chain model for this situation has state space indicating the number of machines that are in the repair shop: S={0,1,2}. Notice that you move from 0 to 1 if one of the two machines breaks down. You move from 1 to 0 when the machine in the repair room is repaired.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 12EQ: 12. Robots have been programmed to traverse the maze shown in Figure 3.28 and at each junction...
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Consider two machines that are maintained by a single repairman. Each machine functions for an exponentially distributed amount of time with rate  λ=2 before it fails. The repair times for each unit are exponential with rate μ=1.
The Markov chain model for this situation has state space indicating the number of machines that are in the repair shop: S={0,1,2}. Notice that you move from 0 to 1 if one of the two machines breaks down. You move from 1 to 0 when the machine in the repair room is repaired.

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