https://www.reliawiki.com/index.php?action=history&feed=atom&title=Fleet_Analysis_Example
Fleet Analysis Example - Revision history
2026-04-11T09:50:01Z
Revision history for this page on the wiki
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https://www.reliawiki.com/index.php?title=Fleet_Analysis_Example&diff=66064&oldid=prev
Lisa Hacker at 20:54, 18 September 2023
2023-09-18T20:54:47Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 20:54, 18 September 2023</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Banner RGA Examples}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Banner RGA Examples}}</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>''This example appears in the [<del style="font-weight: bold; text-decoration: none;">[Fleet_Data_Analysis|</del>Reliability <del style="font-weight: bold; text-decoration: none;">Growth and Repairable System Analysis Reference]</del>]''.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>''This example appears in the [<ins style="font-weight: bold; text-decoration: none;">https://help.reliasoft.com/reference/reliability_growth_and_repairable_system_analysis </ins>Reliability <ins style="font-weight: bold; text-decoration: none;">growth reference</ins>]''.</div></td></tr>
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Lisa Hacker
https://www.reliawiki.com/index.php?title=Fleet_Analysis_Example&diff=55683&oldid=prev
Chris Kahn at 15:33, 12 June 2014
2014-06-12T15:33:40Z
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|-</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|-</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>|colspan="2" style="text-align:center"|'''Grouped <del style="font-weight: bold; text-decoration: none;">data</del>'''</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>|colspan="2" style="text-align:center"|'''Grouped <ins style="font-weight: bold; text-decoration: none;">Data</ins>'''</div></td></tr>
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Chris Kahn
https://www.reliawiki.com/index.php?title=Fleet_Analysis_Example&diff=55682&oldid=prev
Chris Kahn at 15:33, 12 June 2014
2014-06-12T15:33:24Z
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|-</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|-</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>|colspan="4" style="text-align:center"|'''Sample <del style="font-weight: bold; text-decoration: none;">fleet data</del>'''</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>|colspan="4" style="text-align:center"|'''Sample <ins style="font-weight: bold; text-decoration: none;">Fleet Data</ins>'''</div></td></tr>
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Chris Kahn
https://www.reliawiki.com/index.php?title=Fleet_Analysis_Example&diff=54927&oldid=prev
David J. Groebel at 20:08, 2 June 2014
2014-06-02T20:08:44Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 20:08, 2 June 2014</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Banner RGA Examples}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Banner RGA Examples}}</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>''This example appears in the [[Fleet_Data_Analysis|Reliability Growth and Repairable System Analysis Reference <del style="font-weight: bold; text-decoration: none;">book</del>]]''.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>''This example appears in the [[Fleet_Data_Analysis|Reliability Growth and Repairable System Analysis Reference]]''.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></noinclude></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></noinclude></div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|52,110|| 37</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|52,110|| 37</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|}</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Based on the above time intervals, the maximum likelihood estimates of <math>\widehat{\lambda }\,\!</math> and <math>\widehat{\beta }\,\!</math> for this data set are then given by:</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Based on the above time intervals, the maximum likelihood estimates of <math>\widehat{\lambda }\,\!</math> and <math>\widehat{\beta }\,\!</math> for this data set are then given by:</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The next figure shows the System Operation plot.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The next figure shows the System Operation plot.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Image:rga13.7.png<del style="font-weight: bold; text-decoration: none;">|thumb</del>|center|<del style="font-weight: bold; text-decoration: none;">400px|System Operation plot for fleet data.</del>]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[Image:rga13.7.png|center|<ins style="font-weight: bold; text-decoration: none;">450px</ins>]]</div></td></tr>
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David J. Groebel
https://www.reliawiki.com/index.php?title=Fleet_Analysis_Example&diff=52790&oldid=prev
David J. Groebel at 23:06, 22 April 2014
2014-04-22T23:06:20Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:06, 22 April 2014</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l94">Line 94:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Based on the above time intervals, the maximum likelihood estimates of <math>\widehat{\lambda }\,\!</math> and <math>\widehat{\beta }\,\!</math> for this data set are then given by:</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Based on the above time intervals, the maximum likelihood estimates of <math>\widehat{\lambda }\,\!</math> and <math>\widehat{\beta }\,\!</math> for this data set are then given by:</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">:</del>:<math>\begin{matrix}</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:<math>\begin{matrix}</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> \widehat{\lambda }=0.00147 \\ </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> \widehat{\lambda }=0.00147 \\ </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> \widehat{\beta }=0.93328 \\ </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> \widehat{\beta }=0.93328 \\ </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\end{matrix}\,\!</math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\end{matrix}\,\!</math></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The next figure shows the System Operation plot.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The next figure shows the System Operation plot.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Image:rga13.7.png|thumb|center|<del style="font-weight: bold; text-decoration: none;">450px</del>|System Operation plot for fleet data.]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[Image:rga13.7.png|thumb|center|<ins style="font-weight: bold; text-decoration: none;">400px</ins>|System Operation plot for fleet data.]]</div></td></tr>
</table>
David J. Groebel
https://www.reliawiki.com/index.php?title=Fleet_Analysis_Example&diff=49725&oldid=prev
Kate Racaza at 18:38, 4 February 2014
2014-02-04T18:38:39Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 18:38, 4 February 2014</td>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Banner RGA Examples<del style="font-weight: bold; text-decoration: none;">}}{{Navigation box</del>}}</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Banner RGA Examples}}</div></td></tr>
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Kate Racaza
https://www.reliawiki.com/index.php?title=Fleet_Analysis_Example&diff=48509&oldid=prev
Kate Racaza: Created page with '<noinclude>{{Banner RGA Examples}}{{Navigation box}} ''These examples appear in the Reliability Growth and Repairable System Analysis Reference book''. </…'
2014-01-29T19:12:11Z
<p>Created page with '<noinclude>{{Banner RGA Examples}}{{Navigation box}} ''These examples appear in the <a href="/index.php/Fleet_Data_Analysis" title="Fleet Data Analysis">Reliability Growth and Repairable System Analysis Reference book</a>''. </…'</p>
<p><b>New page</b></p><div><noinclude>{{Banner RGA Examples}}{{Navigation box}}<br />
''These examples appear in the [[Fleet_Data_Analysis|Reliability Growth and Repairable System Analysis Reference book]]''.<br />
</noinclude><br />
<br />
The following table presents data for a fleet of 27 systems. A cycle is a complete history from overhaul to overhaul. The failure history for the last completed cycle for each system is recorded. This is a random sample of data from the fleet. These systems are in the order in which they were selected. Suppose the intervals to group the current data are 10,000; 20,000; 30,000; 40,000 and the final interval is defined by the termination time. Conduct the fleet analysis.<br />
<br />
{|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"<br />
|-<br />
|colspan="4" style="text-align:center"|'''Sample fleet data'''<br />
|-<br />
!System <br />
!Cycle Time <math>{{T}_{j}}\,\!</math> <br />
!Number of failures <math>{{N}_{j}}\,\!</math> <br />
!Failure Time <math>{{X}_{ij}}\,\!</math><br />
|-<br />
|1|| 1396|| 1|| 1396<br />
|-<br />
|2|| 4497|| 1|| 4497<br />
|-<br />
|3|| 525|| 1|| 525<br />
|-<br />
|4|| 1232|| 1|| 1232<br />
|-<br />
|5|| 227|| 1|| 227<br />
|-<br />
|6|| 135|| 1|| 135<br />
|-<br />
|7|| 19|| 1|| 19<br />
|-<br />
|8|| 812|| 1|| 812<br />
|-<br />
|9|| 2024|| 1|| 2024<br />
|-<br />
|10|| 943|| 2|| 316, 943<br />
|-<br />
|11|| 60|| 1|| 60<br />
|-<br />
|12|| 4234|| 2|| 4233, 4234<br />
|-<br />
|13|| 2527|| 2|| 1877, 2527<br />
|-<br />
|14|| 2105|| 2|| 2074, 2105<br />
|-<br />
|15|| 5079|| 1|| 5079<br />
|-<br />
|16|| 577|| 2|| 546, 577<br />
|-<br />
|17|| 4085|| 2|| 453, 4085<br />
|-<br />
|18|| 1023|| 1|| 1023<br />
|-<br />
|19|| 161|| 1|| 161<br />
|-<br />
|20|| 4767|| 2|| 36, 4767<br />
|-<br />
|21|| 6228|| 3|| 3795, 4375, 6228<br />
|-<br />
|22|| 68|| 1|| 68<br />
|-<br />
|23|| 1830|| 1|| 1830<br />
|-<br />
|24|| 1241|| 1|| 1241<br />
|-<br />
|25|| 2573|| 2|| 871, 2573<br />
|-<br />
|26|| 3556|| 1|| 3556<br />
|-<br />
|27|| 186|| 1|| 186<br />
|-<br />
|Total||52110|| 37|| <br />
|}<br />
<br />
'''Solution'''<br />
<br />
The sample fleet data set can be grouped into 10,000; 20,000; 30,000; 40,000 and 52,110 time intervals. The following table gives the grouped data.<br />
<br />
{|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"<br />
|-<br />
|colspan="2" style="text-align:center"|'''Grouped data'''<br />
|-<br />
!Time <br />
!Observed Failures<br />
|-<br />
|10,000|| 8<br />
|-<br />
|20,000|| 16<br />
|-<br />
|30,000|| 22<br />
|-<br />
|40,000|| 27<br />
|-<br />
|52,110|| 37<br />
|}<br />
Based on the above time intervals, the maximum likelihood estimates of <math>\widehat{\lambda }\,\!</math> and <math>\widehat{\beta }\,\!</math> for this data set are then given by:<br />
<br />
::<math>\begin{matrix}<br />
\widehat{\lambda }=0.00147 \\ <br />
\widehat{\beta }=0.93328 \\ <br />
\end{matrix}\,\!</math><br />
<br />
<br />
The next figure shows the System Operation plot.<br />
<br />
[[Image:rga13.7.png|thumb|center|450px|System Operation plot for fleet data.]]</div>
Kate Racaza