Multiple Systems (Known Operating Times) Data Reference Example

From ReliaWiki
Jump to navigation Jump to search

Template:InProgress

RGA Reference Examples Banner.png


New format available! This reference is now available in a new format that offers faster page load, improved display for calculations and images and more targeted search.

As of January 2024, this Reliawiki page will not continue to be updated. Please update all links and bookmarks to the latest references at RGA examples and RGA reference examples.




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
  1. = system failed
Prototype #1 Prototype #2 Cumulative Time
*2.6 0 2.6
*16.5 0 16.5
*16.5 0 16.5
*17 0 17
20.5 *0.9 21.4
25.3 *3.8 29.1
28.7 *4.6 33.3
*41.8 14.7 56.5
*45.5 17.6 63.1
48.6 *22 70.6
49.6 *23.4 73
*51.4 26.3 77.7
*58.2 35.7 93.9
59 *36.5 95.5
60.5 *37.6 98.1
*61.9 39.1 101.1
*76.6 55.4 132
81.1 *61.1 142.2
*84.1 63.6 147.7
*84.7 64.3 149
*94.6 72.6 167.2
104.8 *85.9 190.7
105.9 *87.1 193
*108.8 89.9 198.7
132.4 *119.5 251.9
132.4 *150.1 282.5
132.4 *153.7 286.1


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++


MIL-HDBK-189A 6.3.1.6.4 Example Results.png


MIL-HDBK-189A 6.3.1.6.4 Example Stat Tests.png