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		<title>Chaimatanan et al 2015a - Revision history</title>
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		<updated>2026-04-21T22:00:42Z</updated>
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		<title>Scipediacontent: Scipediacontent moved page Draft Content 310436330 to Chaimatanan et al 2015a</title>
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				<updated>2021-01-28T23:00:44Z</updated>
		
		<summary type="html">&lt;p&gt;Scipediacontent moved page &lt;a href=&quot;/public/Draft_Content_310436330&quot; class=&quot;mw-redirect&quot; title=&quot;Draft Content 310436330&quot;&gt;Draft Content 310436330&lt;/a&gt; to &lt;a href=&quot;/public/Chaimatanan_et_al_2015a&quot; title=&quot;Chaimatanan et al 2015a&quot;&gt;Chaimatanan et al 2015a&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 23:00, 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=Chaimatanan_et_al_2015a&amp;diff=195500&amp;oldid=prev</id>
		<title>Scipediacontent: Created page with &quot; == Abstract ==  International audience; To sustain the rapidly increasing air traffic demand, the future air traffic management system will rely on a concept, called Trajecto...&quot;</title>
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				<updated>2021-01-28T23:00:39Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot; == Abstract ==  International audience; To sustain the rapidly increasing air traffic demand, the future air traffic management system will rely on a concept, called Trajecto...&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; To sustain the rapidly increasing air traffic demand, the future air traffic management system will rely on a concept, called Trajectory-Based Operations (TBO), that will require aircraft to follow an assigned 4D trajectory (time-constrained trajectory) with high precision. TBO involves separating aircraft via strategic (long-term) trajectory deconfliction rather than the currently-practicing tactical (short-term) conflict resolution. In this context, this paper presents a strategic 4D aircraft trajectory planning approach aiming at minimizing interaction between aircraft trajectories for a given day. The proposed methodology allocates an alternative departure time, a horizontal flight path, and a flight level to each flight at a country and a continent scale. Uncertainties of aircraft position and arrival time on its curvilinear abscissa are taken into account in the trajectory planning process. The proposed approach optimizes the 4D trajectory of each aircraft so as to minimize the interaction between trajectories. A hybrid-metaheuristic optimization algorithm has been developed to solve this large-scale mixed-variable optimization problem. The algorithm is implemented and tested with real air traffic data taking into account uncertainty over the French and the European airspace for which a conflict-free and robust 4D trajectory plan is produced.&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;
* [https://hal-enac.archives-ouvertes.fr/hal-01206230 https://hal-enac.archives-ouvertes.fr/hal-01206230]&lt;br /&gt;
&lt;br /&gt;
* [https://hal-enac.archives-ouvertes.fr/hal-01271435/file/NonFormatted_Hybrid%20metaheuristic%20for%204D%20trajectory%20planning%20under%20uncertaintie%20.pdf https://hal-enac.archives-ouvertes.fr/hal-01271435/file/NonFormatted_Hybrid%20metaheuristic%20for%204D%20trajectory%20planning%20under%20uncertaintie%20.pdf]&lt;br /&gt;
&lt;br /&gt;
* [http://xplorestaging.ieee.org/ielx7/7371400/7376572/07376591.pdf?arnumber=7376591 http://xplorestaging.ieee.org/ielx7/7371400/7376572/07376591.pdf?arnumber=7376591],&lt;br /&gt;
: [http://dx.doi.org/10.1109/ssci.2015.18 http://dx.doi.org/10.1109/ssci.2015.18]&lt;br /&gt;
&lt;br /&gt;
* [https://hal-enac.archives-ouvertes.fr/hal-01271435 https://hal-enac.archives-ouvertes.fr/hal-01271435],&lt;br /&gt;
: [https://hal-enac.archives-ouvertes.fr/hal-01271435/document https://hal-enac.archives-ouvertes.fr/hal-01271435/document],&lt;br /&gt;
: [https://hal-enac.archives-ouvertes.fr/hal-01271435/file/NonFormatted_Hybrid%20metaheuristic%20for%204D%20trajectory%20planning%20under%20uncertaintie%20.pdf https://hal-enac.archives-ouvertes.fr/hal-01271435/file/NonFormatted_Hybrid%20metaheuristic%20for%204D%20trajectory%20planning%20under%20uncertaintie%20.pdf]&lt;br /&gt;
&lt;br /&gt;
* [https://hal-enac.archives-ouvertes.fr/hal-01271435/document https://hal-enac.archives-ouvertes.fr/hal-01271435/document],&lt;br /&gt;
: [https://dblp.uni-trier.de/db/conf/ssci/ssci2015.html#ChaimatananDM15 https://dblp.uni-trier.de/db/conf/ssci/ssci2015.html#ChaimatananDM15],&lt;br /&gt;
: [https://hal-enac.archives-ouvertes.fr/hal-01271435 https://hal-enac.archives-ouvertes.fr/hal-01271435],&lt;br /&gt;
: [https://ieeexplore.ieee.org/document/7376591 https://ieeexplore.ieee.org/document/7376591],&lt;br /&gt;
: [https://academic.microsoft.com/#/detail/2246293695 https://academic.microsoft.com/#/detail/2246293695]&lt;/div&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

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