Using markov chain long proportions Two machines are available to perform a task, each can be either in operational or nonoperationalcondition. Every day one of the operational machines will be used and there is a 10% chance that itwill break. Assume that if a machine breaks during the day, the task fails and is not resumed until thenext day. If there is a nonoperational machine at the beginning of the day there is a 60% probabilitythat it will be repaired by the end of the day. Only one machine can be repaired in one day. Modelthis system as a Markov chain: clearly describe the states and give the transition matrix.
Using markov chain long proportions Two machines are available to perform a task, each can be either in operational or nonoperationalcondition. Every day one of the operational machines will be used and there is a 10% chance that itwill break. Assume that if a machine breaks during the day, the task fails and is not resumed until thenext day. If there is a nonoperational machine at the beginning of the day there is a 60% probabilitythat it will be repaired by the end of the day. Only one machine can be repaired in one day. Modelthis system as a Markov chain: clearly describe the states and give the transition matrix.
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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Using markov chain long proportions Two machines are available to perform a task, each can be either in operational or nonoperationalcondition. Every day one of the operational machines will be used and there is a 10% chance that itwill break. Assume that if a machine breaks during the day, the task fails and is not resumed until thenext day. If there is a nonoperational machine at the beginning of the day there is a 60% probabilitythat it will be repaired by the end of the day. Only one machine can be repaired in one day. Modelthis system as a Markov chain: clearly describe the states and give the transition matrix.
Given that the picture provides the answer, how were the values calculated?
Transcribed Image Text:Now the state transition diagram can be shown below;
P
0.4
=
the transition matrix (P) can be written as ;
[0.4 0.6
0
0.6
0.1 0.3 0.6
0
0.1 0.9
0.1
0.6
0.1
0.9
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