A PWR plant has two residual heat removal (RHR) pumps, with pump 1 operating and pump 2 in standby whenever the RHR system is activated. Both pumps have a MTTF of 1/2 and the service crew can repair a pump during a mean time interval of 1/μ. The failure probability of the pumps in standby is negligibly small. (a) Define three states of the RHR pump system and set up a Markov chain model for the probabilities P (t), n = 1,2,3.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 47E: Explain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.
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A PWR plant has two residual heat removal (RHR) pumps, with pump 1 operating and
pump 2 in standby whenever the RHR system is activated. Both pumps have a MTTF of
1/1 and the service crew can repair a pump during a mean time interval of 1/u. The failure
probability of the pumps in standby is negligibly small.
(a) Define three states of the RHR pump system and set up a Markov chain model for
the probabilities P, (t), n = 1,2,3.
Transcribed Image Text:A PWR plant has two residual heat removal (RHR) pumps, with pump 1 operating and pump 2 in standby whenever the RHR system is activated. Both pumps have a MTTF of 1/1 and the service crew can repair a pump during a mean time interval of 1/u. The failure probability of the pumps in standby is negligibly small. (a) Define three states of the RHR pump system and set up a Markov chain model for the probabilities P, (t), n = 1,2,3.
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