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Unformatted text preview: MFG5350 1 October 13, 2008 (Monday) Preliminary presentation for project MFG5350 2 October 20, 2008 (Monday) Midterm exam MFG5350 3 The Weibull Distribution Increasing and Decreasing Failure Rates MFG5350 4 The Bathtub Curve MFG5350 5 Time Dependent Failure Mode a with , t a = (t) b t ; > 0, > ; t = (t) 1 rewrite as: where is the shape parameter and is the characteristic life MFG5350 6 Reliability Function t dt t e e = R(t) 1 t ' .368 = e = e = ) R( 1 note that: MFG5350 7 e t = dt dR(t) = f(t) t 1 The Probability Density Function (PDF)0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 0.0 1.0 2.0 3.0 4.0 5.0 6.0 t f(t) 0.5 1.5 2.0 4.0 Beta Theta = 2 : the shape parameter. MFG5350 80.2 0.2 0.4 0.6 0.8 1 1.2 0.0 1.0 2.0 3.0 4.0 5.0 6.0 t R (t) 0.5 1.5 2.0 4.0 Beta Theta = 2 t dt t e e = R(t) 1 t ' Graph of the Reliability Function MFG5350 9 The Hazard Rate Function 1 2 3 4 5 6 0.0 1.0 2.0 3.0 4.0 5.0 6.0 t Hazard Rate 0.5 1.5 2.0 4.0 Beta Theta = 2 f(t) / R(t) t ; > 0, > ; t = (t) 1 MFG5350...
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This note was uploaded on 04/25/2010 for the course IE 654 taught by Professor Smith during the Spring '10 term at 카이스트, 한국과학기술원.
 Spring '10
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