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Unformatted text preview: MFG5350 1 Lecture Overview • Statedependent systems • Results of midterm feedback MFG5350 2 MFG5350 3 MFG5350 4 MFG5350 5 MFG5350 6 MFG5350 7 Markov Analysis Loading Sharing Systems Standby Systems Degraded Systems STATE DEPENDENT SYSTEMS MFG5350 8 • Twocomponent parallel system • Dependency: if one component fails, the failure rate of the other component increases as a result of the additional load placed on it (0,0) (1,0) (0,1) (1,1) 0: Operating 1: Failed MFG5350 9 1( + )t P (t) = e 1 2 2 1 1 2 2 + t( + )t P (t) = + e e 2 + 1 2 3 2 1 2 1 + t( + )t P (t) = + e e 1 + 1 2 R(t) = P (t)+ P (t)+ P (t) 1 2 3 Solution: LoadSharing Systems MFG5350 10 If we let 1 = 2 = and 1 + = 2 + = + , then R(t) = e + 2 2 e e2 t + t2 t + LoadSharing Systems MFG5350 11 Component 1: Primary Component 2: Standby • Twocomponent parallel system • Dependency: the standby unit will have no failure or a reduced failure rate while in its standby mode. (0,0) (1,0) (0,1) (1,1) MFG5350 12 1( + )t P (t) = e 1 2 2 1 1 2 t( + )t P (t) = + e e 2 1 2 2 3 t( + )t P (t) = e e 1 1 2 R t = e + + e e t 1 1 2 2 t( + )t 1 2 1 2 ( ) Standby Systems Solution MFG5350 13 If we let 1 = 2 = and 2 =  , then R(t) = e + e e t t t ( ) 1 1 1 1 1 MTTF Standby Systems  identical units MFG5350...
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 Spring '10
 smith
 Failure rate, Standby Systems, MFG5350, Standby Systems Identical Units

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