Logistic Model - Auto Transmission Example: Difference between revisions
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'''Solution ''' | '''Solution ''' | ||
<ol> | <ol> | ||
<li>The next figure shows the estimated parameters. | <li>The next figure shows the entered data and the estimated parameters. | ||
<br> | <br> | ||
[[Image:rga8.7.png | [[Image:rga8.7.png|center|650px|Entered data and the estimated Logistic parameters.]] | ||
<br> | <br> | ||
</li> | </li> | ||
<li>The next figure displays the Reliability vs. Time plot. | <li>The next figure displays the Reliability vs. Time plot. | ||
<br> | <br> | ||
[[Image:rga8.8.png | [[Image:rga8.8.png|center|400px|Reliability vs. Time plot.]] | ||
<br> | <br> | ||
</li> | </li> | ||
<li>Using the QCP, the next figure displays when the reliability goal of 99% will be achieved. | <li>Using the QCP, the next figure displays, in months, when the reliability goal of 99% will be achieved. | ||
<br> | <br> | ||
[[Image:rga8.9.png | [[Image:rga8.9.png|center|400px|When the reliability goal of 99% will be achieved.]] | ||
<br> | <br> | ||
</li> | </li> | ||
<li>The last figure shows the reliability at the end of January the following year (i.e., after 20 months of testing and development). | <li>The last figure shows the reliability at the end of January the following year (i.e., after 20 months of testing and development). | ||
<br> | <br> | ||
[[Image:rga8.10.png | [[Image:rga8.10.png|center|400px|The reliability at the end of the following January (month=20)]] | ||
<br> | <br> | ||
</li> | </li> | ||
</ol> | </ol> | ||
Revision as of 17:04, 12 June 2014
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This example appears in the Reliability Growth and Repairable System Analysis Reference.
The following table presents the reliabilities observed monthly for an automobile transmission that was tested for one year.
- Find a Logistic reliability growth curve that best represents the data.
- Plot it comparatively with the raw data.
- If design changes continue to be incorporated and the testing continues, when will the reliability goal of 99% be achieved?
- If design changes continue to be incorporated and the testing continues, what will be the attainable reliability at the end of January the following year?
| Month | Observed Reliability(%) |
|---|---|
| June | 22 |
| July | 26 |
| August | 30 |
| September | 34 |
| October | 45 |
| November | 58 |
| December | 68 |
| January | 79 |
| February | 85 |
| March | 89 |
| April | 92 |
| May | 95 |
Solution
- The next figure shows the entered data and the estimated parameters.
- The next figure displays the Reliability vs. Time plot.
- Using the QCP, the next figure displays, in months, when the reliability goal of 99% will be achieved.
- The last figure shows the reliability at the end of January the following year (i.e., after 20 months of testing and development).
