six towers, eight lights each
DESCRIPTION
SMRE SUMMER 2008 CLASS PROJECT Reliability of Football Field Lighting. Six Towers, Eight Lights Each. Objective: No more than two towers may have two lights out during an event. SMRE Summer 2008 Class Project. - PowerPoint PPT PresentationTRANSCRIPT
Six Towers, Eight Lights Each
SMRE SUMMER 2008 CLASS PROJECTReliability of Football Field Lighting
Objective: No more than two towers may have two lights outduring an event
Sample Data1258990117311511303930133714301204709827112712771333100211178561039121879897697812339351024117011629901101933909126277593810221635119566611606091009996
Light bulb durability sample data was taken for from Fig 2.9 of Wallace R. Blischke and D.N. Prabhakar Murthy article Reliability, Modeling, Prediction and Optimization. Distribution analysis indicated a Weibull distribution was suitable for analysis
Comparison of Correlation coefficients; Weibull 0.991Lognormal 0.984Loglogistic 0.987Smallest Extreme Value 0.969Normal 0.991Logistic 0.993
15001000500
0.002
0.001
0.000
Sample Data
PD
F
15001000500
90
50
10
1
Sample Data
Perc
ent
15001000500
100
50
0
Sample Data
Perc
ent
15001000500
0.015
0.010
0.005
0.000
Sample Data
Rate
Correlation 0.991
Shape 5.96345Scale 1147.23Mean 1063.95StDev 207.329Median 1078.84IQR 280.891Failure 42Censor 0AD* 0.686
Table of StatisticsProbability Density Function
Survival Function Hazard Function
Distribution Overview Plot for Sample DataLSXY Estimates-Complete Data
Weibull
Weibull Parameters:Shape 5.96345 ()Scale 1147.23 (1/
R(t) = e -(t)
SMRE Summer 2008 Class Project
MTTF Bulb: 1064MTTF Tower: 887MTTF System: Maple Execution error
SMRE Summer 2008 Class Project
System
Tower
Bulb
Reliability Function Probability Density FunctionSystem
Max at t=825.3