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	<id>https://optimization.cbe.cornell.edu/index.php?action=history&amp;feed=atom&amp;title=Bellman_equation</id>
	<title>Bellman equation - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://optimization.cbe.cornell.edu/index.php?action=history&amp;feed=atom&amp;title=Bellman_equation"/>
	<link rel="alternate" type="text/html" href="https://optimization.cbe.cornell.edu/index.php?title=Bellman_equation&amp;action=history"/>
	<updated>2026-04-26T19:28:00Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://optimization.cbe.cornell.edu/index.php?title=Bellman_equation&amp;diff=4316&amp;oldid=prev</id>
		<title>Gg496: Page orphaned, available for future project</title>
		<link rel="alternate" type="text/html" href="https://optimization.cbe.cornell.edu/index.php?title=Bellman_equation&amp;diff=4316&amp;oldid=prev"/>
		<updated>2021-11-28T21:14:19Z</updated>

		<summary type="html">&lt;p&gt;Page orphaned, available for future project&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 17:14, 28 November 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Authors: Greta Gasswint, Elizabeth Henning, and Thomas Lee (SYSEN 5800 Fall 2021) &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;== Introduction ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;== Introduction ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The Bellman equation is an optimality condition used in dynamic programming and named for Richard Bellman, whose principle of optimality is needed to derive it.&amp;lt;ref&amp;gt;Bellman, R. (1952)  &amp;quot;On the Theory of Dynamic Programming&amp;quot; https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1063639/pdf/pnas01581-0064.pdf&amp;lt;/ref&amp;gt; By breaking up a larger dynamic programming problem into a sequence of subproblems, a Bellman equation can simplify and solve any multi-stage dynamic optimization problem.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The Bellman equation is an optimality condition used in dynamic programming and named for Richard Bellman, whose principle of optimality is needed to derive it.&amp;lt;ref&amp;gt;Bellman, R. (1952)  &amp;quot;On the Theory of Dynamic Programming&amp;quot; https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1063639/pdf/pnas01581-0064.pdf&amp;lt;/ref&amp;gt; By breaking up a larger dynamic programming problem into a sequence of subproblems, a Bellman equation can simplify and solve any multi-stage dynamic optimization problem.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Gg496</name></author>
	</entry>
	<entry>
		<id>https://optimization.cbe.cornell.edu/index.php?title=Bellman_equation&amp;diff=3270&amp;oldid=prev</id>
		<title>Gg496: Started introduction</title>
		<link rel="alternate" type="text/html" href="https://optimization.cbe.cornell.edu/index.php?title=Bellman_equation&amp;diff=3270&amp;oldid=prev"/>
		<updated>2021-11-24T19:05:31Z</updated>

		<summary type="html">&lt;p&gt;Started introduction&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:05, 24 November 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Authors: Greta Gasswint, Elizabeth Henning, and Thomas Lee (SYSEN 5800 Fall 2021) &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;== Introduction ==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The Bellman equation is an optimality condition used in dynamic programming and named for Richard Bellman, whose principle of optimality is needed to derive it.&amp;lt;ref&amp;gt;Bellman, R. (1952)  &quot;On the Theory of Dynamic Programming&quot; https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1063639/pdf/pnas01581-0064.pdf&amp;lt;/ref&amp;gt; By breaking up a larger dynamic programming problem into a sequence of subproblems, a Bellman equation can simplify and solve any multi-stage dynamic optimization problem.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Gg496</name></author>
	</entry>
	<entry>
		<id>https://optimization.cbe.cornell.edu/index.php?title=Bellman_equation&amp;diff=2989&amp;oldid=prev</id>
		<title>Eh672: Blanked the page</title>
		<link rel="alternate" type="text/html" href="https://optimization.cbe.cornell.edu/index.php?title=Bellman_equation&amp;diff=2989&amp;oldid=prev"/>
		<updated>2021-10-31T23:41:12Z</updated>

		<summary type="html">&lt;p&gt;Blanked the page&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 19:41, 31 October 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Authors: Greta Gasswint, Elizabeth Henning&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Eh672</name></author>
	</entry>
	<entry>
		<id>https://optimization.cbe.cornell.edu/index.php?title=Bellman_equation&amp;diff=2913&amp;oldid=prev</id>
		<title>Eh672: Created page with &quot;Authors: Greta Gasswint, Elizabeth Henning&quot;</title>
		<link rel="alternate" type="text/html" href="https://optimization.cbe.cornell.edu/index.php?title=Bellman_equation&amp;diff=2913&amp;oldid=prev"/>
		<updated>2021-10-11T23:23:03Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;Authors: Greta Gasswint, Elizabeth Henning&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Authors: Greta Gasswint, Elizabeth Henning&lt;/div&gt;</summary>
		<author><name>Eh672</name></author>
	</entry>
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