Test-Fix-Find-Test Data Reference Example: Difference between revisions

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{{Reference Example|RGA_Reference_Examples_Banner.png|RGA_Reference_Examples}}
{{Reference Example|{{Banner RGA Reference_Examples}}|Test-Fix-Find-Test Data}}
This example compares the results for a test-fix-find-test data.  
This example validates the results for test-fix-find-test data in RGA.  




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MIL-HDBK-189A, Section 7.5.2, pg. 206, 2009.
MIL-HDBK-189A, Section 7.5.2, pg. 206, 2009.


For this example, the following will be calculated:
*Parameters of the Crow Extended model
*Demonstrated MTBF (DMTBF)
*BD mode parameters
*Projected MTBF (PMTBF)




{{Reference_Example_Heading2}}
{{Reference_Example_Heading2}}


{| {{table}}
The following table shows the data.
 
{| {{table|15%}}
!Failure Time
!Failure Time
!Classification Mode
!Classification Mode
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{| {{table}}
{| {{table|15%}}
!BD Mode
!BD Mode
!EF
!EF
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{{Reference_Example_Heading3}}
{{Reference_Example_Heading3}}


Beta = 0.9103, Lambda = 0.2397
The book has the following results:
 
*Beta = 0.9103, Lambda = 0.2397


DMTBF = 7.84 hours
*DMTBF = 7.84 hours


BD Mode Parameters: Beta = 0.7472, Lambda = 0.1820
*BD Mode Parameters: Beta = 0.7472, Lambda = 0.1820


PMBTF = 11.29 hours
*PMTBF = 11.29 hours




{{Reference_Example_Heading4|RGA}}
{{Reference_Example_Heading4|RGA}}


In RGA, the Crow Extended model with the maximum likelihood estimation (MLE) method was used to calculate the results.
*The model parameters are:


[[image:MIL-HDBK-189A 7.5.2 Example_Results.png|center]]
[[image:MIL-HDBK-189A 7.5.2 Example_Results.png|center]]


*The PMTBF is 11.29 hours, as shown in the plot:


[[image:MIL-HDBK-189A 7.5.2 Example_Plot.png|center|550px]]
[[image:MIL-HDBK-189A 7.5.2 Example_Plot.png|center|550px]]

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Test-Fix-Find-Test Data

This example validates the results for test-fix-find-test data in RGA.


Reference Case

MIL-HDBK-189A, Section 7.5.2, pg. 206, 2009.

For this example, the following will be calculated:

  • Parameters of the Crow Extended model
  • Demonstrated MTBF (DMTBF)
  • BD mode parameters
  • Projected MTBF (PMTBF)


Data

The following table shows the data.

Failure Time Classification Mode
0.7 BC1
3.7 BC1
13.2 BC1
15 BD1
17.6 BC2
25.3 BD2
47.5 BD3
54 BD4
54.5 BC3
56.4 BD5
63.6 A
72.2 BD5
99.2 BC4
99.6 BD6
100.3 BD7
102.5 A
112 BD8
112.2 BC5
120.9 BD2
121.9 BC6
125.5 BD9
133.4 BD10
151 BC7
163 BC8
164.7 BD9
174.5 BC9
177.4 BD10
191.6 BC10
192.7 BD11
213 A
244.8 A
249 BD12
250.8 A
260.1 BD1
263.5 BD8
271.1 A
274.7 BD6
282.8 BC11
285 BD13
304 BD9
315.4 BD4
317.1 A
320.6 A
324.5 BD12
324.9 BD10
342 BD5
350.2 BD3
355.2 BC12
364.6 BD10
364.9 A
366.3 BD2
373 BD8
379.4 BD14
389 BD15
394.9 A
395.2 BD16
Termination Time = 400 hours


BD Mode EF
1 0.67
2 0.72
3 0.77
4 0.77
5 0.77
6 0.87
7 0.92
8 0.50
9 0.85
10 0.89
11 0.70
12 0.63
13 0.64
14 0.72
15 0.69
16 0.46


Result

The book has the following results:

  • Beta = 0.9103, Lambda = 0.2397
  • DMTBF = 7.84 hours
  • BD Mode Parameters: Beta = 0.7472, Lambda = 0.1820
  • PMTBF = 11.29 hours


Results in RGA

In RGA, the Crow Extended model with the maximum likelihood estimation (MLE) method was used to calculate the results.

  • The model parameters are:
MIL-HDBK-189A 7.5.2 Example Results.png


  • The PMTBF is 11.29 hours, as shown in the plot:
MIL-HDBK-189A 7.5.2 Example Plot.png
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