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A company has two machines. During any day, each machine that is working at the beginning of the day has a chance of breaking down. If a machine breaks down during the day, it is sent to a repair facility and will be working two days after it breaks. (Thus, if a machine breaks down during day 3, it will be working at the beginning of day 5.) Construct a Markov chain for this system and find the one-step transition probability matrix for this situation.

A company has two machines. During any day, each machine that is working at the beginning of the day has a chance of breaking down. If a machine breaks down during the day, it is sent to a repair facility and will be working two days after it breaks. (Thus, if a machine breaks down during day 3, it will be working at the beginning of day 5.) Construct a Markov chain for this system and find the one-step transition probability matrix for this situation.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A company has two machines. During any day, each machine that is working at the beginning of the day has a chance of breaking down. If a machine breaks down during the day, it is sent to a repair facility and will be working two days after it breaks. (Thus, if a machine breaks down during day 3, it will be working at the beginning of day 5.) Construct a Markov chain for this system and find the one-step transition probability matrix for this situation.
Transcribed Image Text:A company has two machines. During any day, each machine that is working at the beginning of the day has a chance of breaking down. If a machine breaks down during the day, it is sent to a repair facility and will be working two days after it breaks. (Thus, if a machine breaks down during day 3, it will be working at the beginning of day 5.) Construct a Markov chain for this system and find the one-step transition probability matrix for this situation.
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