https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Cerulli_et_al_2020a 2026-04-11T03:21:11Z Revision history for this page on the wiki MediaWiki 1.27.0-wmf.10 https://www.scipedia.com/wd/index.php?title=Cerulli_et_al_2020a&diff=183134&oldid=prev 2021-01-21T14:56:23Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;' lang='en'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 14:56, 21 January 2021</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3" >Line 3:</td> <td colspan="2" class="diff-lineno">Line 3:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>International audience; Preventing aircraft from getting too close to each other is an essential element of safety of the air transportation industry, which becomes ever more important as the air traffic increases. The problem consists in enforcing a minimum distance threshold between flying aircraft, which naturally results in a bilevel formulation with a lower-level subproblem for each pair of aircraft. We propose two single-level reformulations, present a cut generation algorithm which directly solves the bilevel formulation and discuss comparative computational results.</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>International audience; Preventing aircraft from getting too close to each other is an essential element of safety of the air transportation industry, which becomes ever more important as the air traffic increases. The problem consists in enforcing a minimum distance threshold between flying aircraft, which naturally results in a bilevel formulation with a lower-level subproblem for each pair of aircraft. We propose two single-level reformulations, present a cut generation algorithm which directly solves the bilevel formulation and discuss comparative computational results.</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; 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">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; 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;">Document type: Part of book or chapter of book</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; 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">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; 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;">== Full document ==</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; 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;">&lt;pdf&gt;Media:Draft_Content_131744441-beopen254-9384-document.pdf&lt;/pdf&gt;</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l14" >Line 14:</td> <td colspan="2" class="diff-lineno">Line 9:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>The different versions of the original document can be found in:</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>The different versions of the original document can be found in:</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; 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>* [http://link.springer.com/content/pdf/10.1007/978-3-030-34960-8_18 http://link.springer.com/content/pdf/10.1007/978-3-030-34960-8_18],[http://dx.doi.org/10.1007/978-3-030-34960-8_18 http://dx.doi.org/10.1007/978-3-030-34960-8_18] under the license http://www.springer.com/tdm</div></td><td class='diff-marker'>+</td><td style="color:black; 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 class="diffchange diffchange-inline">* [https://hal.archives-ouvertes.fr/hal-02869682/file/Aircraft-bilevel-ods19.pdf https://hal.archives-ouvertes.fr/hal-02869682/file/Aircraft-bilevel-ods19.pdf]</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; 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>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; 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>* [http://link.springer.com/content/pdf/10.1007/978-3-030-34960-8_18 http://link.springer.com/content/pdf/10.1007/978-3-030-34960-8_18],</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; 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 class="diffchange diffchange-inline">: </ins>[http://dx.doi.org/10.1007/978-3-030-34960-8_18 http://dx.doi.org/10.1007/978-3-030-34960-8_18] under the license http://www.springer.com/tdm</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; 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>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; 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 class="diffchange diffchange-inline">* [https://hal.archives-ouvertes.fr/hal-02869682 https://hal.archives-ouvertes.fr/hal-02869682],</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; 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 class="diffchange diffchange-inline">: [https://hal.archives-ouvertes.fr/hal-02869682/document https://hal.archives-ouvertes.fr/hal-02869682/document],</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; 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 class="diffchange diffchange-inline">: [https://hal.archives-ouvertes.fr/hal-02869682/file/Aircraft-bilevel-ods19.pdf https://hal.archives-ouvertes.fr/hal-02869682/file/Aircraft-bilevel-ods19.pdf]</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; 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>* [https://<del class="diffchange diffchange-inline">hal</del>.<del class="diffchange diffchange-inline">archives-ouvertes</del>.<del class="diffchange diffchange-inline">fr</del>/<del class="diffchange diffchange-inline">hal-02869682 https:</del>/<del class="diffchange diffchange-inline">/hal.archives-ouvertes</del>.<del class="diffchange diffchange-inline">fr</del>/<del class="diffchange diffchange-inline">hal</del>-<del class="diffchange diffchange-inline">02869682],[</del>https://<del class="diffchange diffchange-inline">hal</del>.<del class="diffchange diffchange-inline">archives-ouvertes</del>.<del class="diffchange diffchange-inline">fr</del>/<del class="diffchange diffchange-inline">hal-02869682</del>/<del class="diffchange diffchange-inline">document https:</del>/<del class="diffchange diffchange-inline">/hal.archives</del>-<del class="diffchange diffchange-inline">ouvertes.fr/hal</del>-<del class="diffchange diffchange-inline">02869682/document</del>],[https://<del class="diffchange diffchange-inline">hal</del>.<del class="diffchange diffchange-inline">archives-ouvertes</del>.<del class="diffchange diffchange-inline">fr</del>/<del class="diffchange diffchange-inline">hal-02869682</del>/<del class="diffchange diffchange-inline">file</del>/<del class="diffchange diffchange-inline">Aircraft-bilevel-ods19.pdf </del>https://<del class="diffchange diffchange-inline">hal</del>.<del class="diffchange diffchange-inline">archives-ouvertes</del>.<del class="diffchange diffchange-inline">fr</del>/<del class="diffchange diffchange-inline">hal-02869682</del>/<del class="diffchange diffchange-inline">file</del>/<del class="diffchange diffchange-inline">Aircraft-bilevel-ods19.pdf</del>]</div></td><td class='diff-marker'>+</td><td style="color:black; 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>* [https://<ins class="diffchange diffchange-inline">link</ins>.<ins class="diffchange diffchange-inline">springer</ins>.<ins class="diffchange diffchange-inline">com</ins>/<ins class="diffchange diffchange-inline">chapter</ins>/<ins class="diffchange diffchange-inline">10</ins>.<ins class="diffchange diffchange-inline">1007</ins>/<ins class="diffchange diffchange-inline">978</ins>-<ins class="diffchange diffchange-inline">3-030-34960-8_18 </ins>https://<ins class="diffchange diffchange-inline">link</ins>.<ins class="diffchange diffchange-inline">springer</ins>.<ins class="diffchange diffchange-inline">com</ins>/<ins class="diffchange diffchange-inline">chapter</ins>/<ins class="diffchange diffchange-inline">10.1007</ins>/<ins class="diffchange diffchange-inline">978</ins>-<ins class="diffchange diffchange-inline">3-030-34960</ins>-<ins class="diffchange diffchange-inline">8_18</ins>],</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; 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 class="diffchange diffchange-inline">: </ins>[https://<ins class="diffchange diffchange-inline">academic</ins>.<ins class="diffchange diffchange-inline">microsoft</ins>.<ins class="diffchange diffchange-inline">com</ins>/<ins class="diffchange diffchange-inline">#</ins>/<ins class="diffchange diffchange-inline">detail</ins>/<ins class="diffchange diffchange-inline">3002003843 </ins>https://<ins class="diffchange diffchange-inline">academic</ins>.<ins class="diffchange diffchange-inline">microsoft</ins>.<ins class="diffchange diffchange-inline">com</ins>/<ins class="diffchange diffchange-inline">#</ins>/<ins class="diffchange diffchange-inline">detail</ins>/<ins class="diffchange diffchange-inline">3002003843</ins>]</div></td></tr> </table>

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<p>Scipediacontent moved page <a href="/public/Draft_Content_131744441" class="mw-redirect" title="Draft Content 131744441">Draft Content 131744441</a> to <a href="/public/Cerulli_et_al_2020a" title="Cerulli et al 2020a">Cerulli et al 2020a</a></p> <table class="diff diff-contentalign-left" data-mw="interface"> <tr style='vertical-align: top;' lang='en'> <td colspan='1' style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan='1' style="background-color: white; color:black; text-align: center;">Revision as of 10:58, 14 October 2020</td> </tr><tr><td colspan='2' style='text-align: center;' lang='en'><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

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<p>Created page with &quot; == Abstract == International audience; Preventing aircraft from getting too close to each other is an essential element of safety of the air transportation industry, which b...&quot;</p> <p><b>New page</b></p><div><br /> == Abstract ==<br /> <br /> International audience; Preventing aircraft from getting too close to each other is an essential element of safety of the air transportation industry, which becomes ever more important as the air traffic increases. The problem consists in enforcing a minimum distance threshold between flying aircraft, which naturally results in a bilevel formulation with a lower-level subproblem for each pair of aircraft. We propose two single-level reformulations, present a cut generation algorithm which directly solves the bilevel formulation and discuss comparative computational results.<br /> <br /> Document type: Part of book or chapter of book<br /> <br /> == Full document ==<br /> &lt;pdf&gt;Media:Draft_Content_131744441-beopen254-9384-document.pdf&lt;/pdf&gt;<br /> <br /> <br /> == Original document ==<br /> <br /> The different versions of the original document can be found in:<br /> <br /> * [http://link.springer.com/content/pdf/10.1007/978-3-030-34960-8_18 http://link.springer.com/content/pdf/10.1007/978-3-030-34960-8_18],[http://dx.doi.org/10.1007/978-3-030-34960-8_18 http://dx.doi.org/10.1007/978-3-030-34960-8_18] under the license http://www.springer.com/tdm<br /> <br /> * [https://hal.archives-ouvertes.fr/hal-02869682 https://hal.archives-ouvertes.fr/hal-02869682],[https://hal.archives-ouvertes.fr/hal-02869682/document https://hal.archives-ouvertes.fr/hal-02869682/document],[https://hal.archives-ouvertes.fr/hal-02869682/file/Aircraft-bilevel-ods19.pdf https://hal.archives-ouvertes.fr/hal-02869682/file/Aircraft-bilevel-ods19.pdf]</div>

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