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5. consider the example below, where the states are Condition State and the transition matrix is 0 1 2 3 Good as new Operable-minimum deterioration πto = Operable major deterioration Inoperable and replaced by a good-as-new machine P = we found that the steady-state probabilities are 2 π1 13' 0 0 0 1 7 13 78314 0 1 1 8 16 16 0 HAIRLINO HTBLINO 1 1 8 8 1 1 2 π₂ = 2 13' T3 = 2 13 (a) Find the expected recurrence time for state 0 (i.e., the expected length of time a machine can be used before it must be replaced) by solving a linear system for Moo, 10, 20, and μ30. 1 (b) Find the expected recurrence time for state 0 directly by the formula μ0o = TTO

5. consider the example below, where the states are Condition State and the transition matrix is 0 1 2 3 Good as new Operable-minimum deterioration πto = Operable major deterioration Inoperable and replaced by a good-as-new machine P = we found that the steady-state probabilities are 2 π1 13' 0 0 0 1 7 13 78314 0 1 1 8 16 16 0 HAIRLINO HTBLINO 1 1 8 8 1 1 2 π₂ = 2 13' T3 = 2 13 (a) Find the expected recurrence time for state 0 (i.e., the expected length of time a machine can be used before it must be replaced) by solving a linear system for Moo, 10, 20, and μ30. 1 (b) Find the expected recurrence time for state 0 directly by the formula μ0o = TTO

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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5. consider the example below, where the states are Condition State and the transition matrix is 0 1 23 2 Πο Good as new Operable-minimum deterioration Operable-major deterioration Inoperable and replaced by a good-as-new machine we found that the steady-state probabilities are 2 13' T1= = P = 78314 00 1 0 7 13' HARTNO LELBLINO 1 16 1 1 1 1 16 8 8 0 2 2 = π2 2 13' I3 = 2 13 (a) Find the expected recurrence time for state 0 (i.e., the expected length of time a machine can be used before it must be replaced) by solving a linear system for Moo, M10, 20, and μ30. (b) Find the expected recurrence time for state O directly by the formula Moo 1 πο =
Transcribed Image Text:5. consider the example below, where the states are Condition State and the transition matrix is 0 1 23 2 Πο Good as new Operable-minimum deterioration Operable-major deterioration Inoperable and replaced by a good-as-new machine we found that the steady-state probabilities are 2 13' T1= = P = 78314 00 1 0 7 13' HARTNO LELBLINO 1 16 1 1 1 1 16 8 8 0 2 2 = π2 2 13' I3 = 2 13 (a) Find the expected recurrence time for state 0 (i.e., the expected length of time a machine can be used before it must be replaced) by solving a linear system for Moo, M10, 20, and μ30. (b) Find the expected recurrence time for state O directly by the formula Moo 1 πο =
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