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		<title>Sadovsky et al 2011a - Revision history</title>
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		<updated>2026-04-17T00:28:01Z</updated>
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		<id>https://www.scipedia.com/wd/index.php?title=Sadovsky_et_al_2011a&amp;diff=198940&amp;oldid=prev</id>
		<title>Scipediacontent: Scipediacontent moved page Draft Content 185754067 to Sadovsky et al 2011a</title>
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				<updated>2021-02-01T22:35:09Z</updated>
		
		<summary type="html">&lt;p&gt;Scipediacontent moved page &lt;a href=&quot;/public/Draft_Content_185754067&quot; class=&quot;mw-redirect&quot; title=&quot;Draft Content 185754067&quot;&gt;Draft Content 185754067&lt;/a&gt; to &lt;a href=&quot;/public/Sadovsky_et_al_2011a&quot; title=&quot;Sadovsky et al 2011a&quot;&gt;Sadovsky et al 2011a&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 22:35, 1 February 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=Sadovsky_et_al_2011a&amp;diff=198939&amp;oldid=prev</id>
		<title>Scipediacontent: Created page with &quot; == Abstract ==  The current operational practice in scheduling air traffic arriving at an airport is to adjust flight schedules by delay, i.e. a postponement of an aircraft's...&quot;</title>
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				<updated>2021-02-01T22:35:06Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot; == Abstract ==  The current operational practice in scheduling air traffic arriving at an airport is to adjust flight schedules by delay, i.e. a postponement of an aircraft&amp;#039;s...&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;
The current operational practice in scheduling air traffic arriving at an airport is to adjust flight schedules by delay, i.e. a postponement of an aircraft's arrival at a scheduled location, to manage safely the FAA-mandated separation constraints between aircraft. To meet the observed and forecast growth in traffic demand, however, the practice of time advance (speeding up an aircraft toward a scheduled location) is envisioned for future operations as a practice additional to delay. Time advance has two potential advantages. The first is the capability to minimize, or at least reduce, the excess separation (the distances between pairs of aircraft immediately in-trail) and thereby to increase the throughput of the arriving traffic. The second is to reduce the total traffic delay when the traffic sample is below saturation density. A cost associated with time advance is the fuel expenditure required by an aircraft to speed up. We present an optimal control model of air traffic arriving in a terminal area and solve it using the Pontryagin Maximum Principle. The admissible controls allow time advance, as well as delay, some of the way. The cost function reflects the trade-off between minimizing two competing objectives: excess separation (negatively correlated with throughput) and fuel burn. A number of instances are solved using three different methods, to demonstrate consistency of solutions.&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://www.aviationsystemsdivision.arc.nasa.gov/publications/2011/DASC2011_Sadovsky.pdf http://www.aviationsystemsdivision.arc.nasa.gov/publications/2011/DASC2011_Sadovsky.pdf]&lt;br /&gt;
&lt;br /&gt;
* [http://xplorestaging.ieee.org/ielx5/6088077/6095898/06095998.pdf?arnumber=6095998 http://xplorestaging.ieee.org/ielx5/6088077/6095898/06095998.pdf?arnumber=6095998],&lt;br /&gt;
: [http://dx.doi.org/10.1109/dasc.2011.6095998 http://dx.doi.org/10.1109/dasc.2011.6095998]&lt;br /&gt;
&lt;br /&gt;
* [https://www.aviationsystemsdivision.arc.nasa.gov/publications/2011/DASC2011_Sadovsky.pdf https://www.aviationsystemsdivision.arc.nasa.gov/publications/2011/DASC2011_Sadovsky.pdf],&lt;br /&gt;
: [https://www.aviationsystems.arc.nasa.gov/publications/2011/DASC2011_Sadovsky.pdf https://www.aviationsystems.arc.nasa.gov/publications/2011/DASC2011_Sadovsky.pdf],&lt;br /&gt;
: [https://ntrs.nasa.gov/search.jsp?R=20120001671 https://ntrs.nasa.gov/search.jsp?R=20120001671],&lt;br /&gt;
: [http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.ieee-000006095998 http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.ieee-000006095998],&lt;br /&gt;
: [http://hdl.handle.net/2060/20120001671 http://hdl.handle.net/2060/20120001671],&lt;br /&gt;
: [https://repository.exst.jaxa.jp/dspace/handle/a-is/244155 https://repository.exst.jaxa.jp/dspace/handle/a-is/244155],&lt;br /&gt;
: [https://academic.microsoft.com/#/detail/2023572164 https://academic.microsoft.com/#/detail/2023572164]&lt;/div&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

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