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Multiple Systems (Known Operating Times) Data Reference Example
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This example compares the results for multiple systems (known operating times) data.
Reference Case
MIL-HDBK-189A, Section 6.3.1.6.4, pg. 156, 2009.
Data
Termination Time = 300 hours
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Prototype #1
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Prototype #2
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Cumulative Time
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*2.6 |
0 |
2.6
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*16.5 |
0 |
16.5
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*16.5 |
0 |
16.5
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*17 |
0 |
17
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20.5 |
*0.9 |
21.4
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25.3 |
*3.8 |
29.1
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28.7 |
*4.6 |
33.3
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*41.8 |
14.7 |
56.5
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*45.5 |
17.6 |
63.1
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48.6 |
*22 |
70.6
|
49.6 |
*23.4 |
73
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*51.4 |
26.3 |
77.7
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*58.2 |
35.7 |
93.9
|
59 |
*36.5 |
95.5
|
60.5 |
*37.6 |
98.1
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*61.9 |
39.1 |
101.1
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*76.6 |
55.4 |
132
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81.1 |
*61.1 |
142.2
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*84.1 |
63.6 |
147.7
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*84.7 |
64.3 |
149
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*94.6 |
72.6 |
167.2
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104.8 |
*85.9 |
190.7
|
105.9 |
*87.1 |
193
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*108.8 |
89.9 |
198.7
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132.4 |
*119.5 |
251.9
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132.4 |
*150.1 |
282.5
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132.4 |
*153.7 |
286.1
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Result
Beta = 0.716, Lambda – 0.454
DMTBF = 15.5 hours
Using significance level = 0.05. CVM = 0.091. Critical value = 0.218. Since CVM < critical value can fail to reject hypothesis that model fits the data.
Results in Weibull++