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		<id>https://www.scipedia.com/wd/index.php?action=history&amp;feed=atom&amp;title=Mongeau_et_al_2012a</id>
		<title>Mongeau et al 2012a - Revision history</title>
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		<updated>2026-04-18T18:40:47Z</updated>
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		<id>https://www.scipedia.com/wd/index.php?title=Mongeau_et_al_2012a&amp;diff=195689&amp;oldid=prev</id>
		<title>Scipediacontent: Scipediacontent moved page Draft Content 831985284 to Mongeau et al 2012a</title>
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				<updated>2021-01-28T23:23:06Z</updated>
		
		<summary type="html">&lt;p&gt;Scipediacontent moved page &lt;a href=&quot;/public/Draft_Content_831985284&quot; class=&quot;mw-redirect&quot; title=&quot;Draft Content 831985284&quot;&gt;Draft Content 831985284&lt;/a&gt; to &lt;a href=&quot;/public/Mongeau_et_al_2012a&quot; title=&quot;Mongeau et al 2012a&quot;&gt;Mongeau et al 2012a&lt;/a&gt;&lt;/p&gt;
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				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 23:23, 28 January 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan='2' style='text-align: center;' lang='en'&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
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		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
		<id>https://www.scipedia.com/wd/index.php?title=Mongeau_et_al_2012a&amp;diff=195688&amp;oldid=prev</id>
		<title>Scipediacontent: Created page with &quot; == Abstract ==  International audience; In the SESAR framework (Single European Sky ATM Research), the need to increase the air traffric capacity motivated the 4D (space + ti...&quot;</title>
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				<updated>2021-01-28T23:23:01Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot; == Abstract ==  International audience; In the SESAR framework (Single European Sky ATM Research), the need to increase the air traffric capacity motivated the 4D (space + ti...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
International audience; In the SESAR framework (Single European Sky ATM Research), the need to increase the air traffric capacity motivated the 4D (space + time) aircraft trajectory planning. This paper deals with an important Air Traffic Management (ATM) problem that consists in generating sets of 4D conflict-free trajectories (the tactical planning problem). The Light Propagation Algorithm (LPA) was introduced in [1] to deal with this problem. LPA has recently been shown to manage successfully a full day of traffic over the French airspace, removing all conflicts while satisfying ATM constraints. In this paper, we adapt the LPA to take into account uncertainties in trajectory prediction. We introduce and test a new algorithm called u/LPA (LPA under uncertainty) on the same day of traffic. For some situations, uncertainties reduce so much the search space that the standard algorithm cannot guarantee conflict free situation. As a consequence, one must include some time constraints for few trajectories (so-called RTA points: Real Time of Arrival constraints) in order to remove the remaining conflicts. The goal of RTA points is to impose an aircraft to be at a specified position at some given time. This results into a new optimization formulation of the tactical trajectory planning problem involving the decision as to where/when RTA points should be imposed. In order to solve this new problem, here we are content with a simple heuristic that yields encouraging results.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Original document ==&lt;br /&gt;
&lt;br /&gt;
The different versions of the original document can be found in:&lt;br /&gt;
&lt;br /&gt;
* [http://dx.doi.org/10.1016/j.sbspro.2012.09.739 http://dx.doi.org/10.1016/j.sbspro.2012.09.739] under the license http://creativecommons.org/licenses/by-nc-nd/3.0/&lt;br /&gt;
&lt;br /&gt;
* [https://doi.org/10.1016/j.sbspro.2012.09.739 https://doi.org/10.1016/j.sbspro.2012.09.739]&lt;br /&gt;
&lt;br /&gt;
* [https://hal-enac.archives-ouvertes.fr/hal-00938769 https://hal-enac.archives-ouvertes.fr/hal-00938769]&lt;br /&gt;
&lt;br /&gt;
* [https://api.elsevier.com/content/article/PII:S1877042812042012?httpAccept=text/xml https://api.elsevier.com/content/article/PII:S1877042812042012?httpAccept=text/xml],&lt;br /&gt;
: [https://api.elsevier.com/content/article/PII:S1877042812042012?httpAccept=text/plain https://api.elsevier.com/content/article/PII:S1877042812042012?httpAccept=text/plain],&lt;br /&gt;
: [http://dx.doi.org/10.1016/j.sbspro.2012.09.739 http://dx.doi.org/10.1016/j.sbspro.2012.09.739] under the license https://www.elsevier.com/tdm/userlicense/1.0/&lt;br /&gt;
&lt;br /&gt;
* [https://www.sciencedirect.com/science/article/pii/S1877042812042012 https://www.sciencedirect.com/science/article/pii/S1877042812042012],&lt;br /&gt;
: [https://hal-enac.archives-ouvertes.fr/hal-00938769 https://hal-enac.archives-ouvertes.fr/hal-00938769],&lt;br /&gt;
: [https://trid.trb.org/view/1254443 https://trid.trb.org/view/1254443],&lt;br /&gt;
: [https://academic.microsoft.com/#/detail/2035558864 https://academic.microsoft.com/#/detail/2035558864]&lt;/div&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

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