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		<id>https://www.scipedia.com/wd/index.php?action=history&amp;feed=atom&amp;title=Benoit_et_al_2007a</id>
		<title>Benoit et al 2007a - Revision history</title>
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		<updated>2026-04-18T17:15:11Z</updated>
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	<entry>
		<id>https://www.scipedia.com/wd/index.php?title=Benoit_et_al_2007a&amp;diff=187792&amp;oldid=prev</id>
		<title>Scipediacontent at 18:35, 25 January 2021</title>
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				<updated>2021-01-25T18:35:07Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 18:35, 25 January 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-l2&quot; &gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;== Abstract ==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;== Abstract ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;Mapping workflow applications onto parallel platforms is a challenging problem, even for simple application patterns such as pipeline graphs. Several antagonist criteria should be optimized, such as throughput and latency (or a combination). In this paper, we study the complexity of the bi-criteria mapping problem for pipeline graphs on communication homogeneous platforms. In particular, we assess the complexity of the well-known chains-to-chains problem for different-speed processors, which turns out to be NP-hard. We provide several efficient polynomial bi-criteria heuristics, and their relative performance is evaluated through extensive simulations.; &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Lâordonnancement &lt;/del&gt;et &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;lâallocation &lt;/del&gt;des workflows sur plates-formes &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;parallÃ¨les &lt;/del&gt;est un &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;problÃ¨me &lt;/del&gt;crucial, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;mÃªme &lt;/del&gt;pour des applications simples comme des graphes en pipeline. Plusieurs &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;critÃ¨res &lt;/del&gt;contradictoires doivent &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Ãªtre optimisÃ©s&lt;/del&gt;, tels que le &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;dÃ©bit &lt;/del&gt;et la latence (ou une combinaison des deux). Dans ce rapport, nous &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Ã©tudions &lt;/del&gt;la &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;complexitÃ© &lt;/del&gt;du &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;problÃ¨me &lt;/del&gt;de &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;lâordonnancement &lt;/del&gt;bi-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;critÃ¨re &lt;/del&gt;pour les graphes &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;pipelinÃ©s &lt;/del&gt;sur des plate-formes avec communications &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;homogÃ¨nes&lt;/del&gt;. En particulier nous &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Ã©valuons &lt;/del&gt;la &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;complexitÃ© &lt;/del&gt;du &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;problÃ¨me &lt;/del&gt;bien connu &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;âchains&lt;/del&gt;-on-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;chainsâ &lt;/del&gt;pour les processeurs &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;hÃ©tÃ©rogÃ¨nes&lt;/del&gt;, un &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;problÃ¨me &lt;/del&gt;qui &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;sâavÃ¨re &lt;/del&gt;NP-difficile. Nous proposons plusieurs heuristiques bi-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;critÃ¨res &lt;/del&gt;efficaces en temps polynomial. Leur performance relative est &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Ã©valuÃ©e &lt;/del&gt;par des simulations intensives.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;Mapping workflow applications onto parallel platforms is a challenging problem, even for simple application patterns such as pipeline graphs. Several antagonist criteria should be optimized, such as throughput and latency (or a combination). In this paper, we study the complexity of the bi-criteria mapping problem for pipeline graphs on communication homogeneous platforms. In particular, we assess the complexity of the well-known chains-to-chains problem for different-speed processors, which turns out to be NP-hard. We provide several efficient polynomial bi-criteria heuristics, and their relative performance is evaluated through extensive simulations.; &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;L’ordonnancement &lt;/ins&gt;et &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;l’allocation &lt;/ins&gt;des workflows sur plates-formes &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;parallèles &lt;/ins&gt;est un &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;problème &lt;/ins&gt;crucial, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;même &lt;/ins&gt;pour des applications simples comme des graphes en pipeline. Plusieurs &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;critères &lt;/ins&gt;contradictoires doivent &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;être optimisés&lt;/ins&gt;, tels que le &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;débit &lt;/ins&gt;et la latence (ou une combinaison des deux). Dans ce rapport, nous &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;étudions &lt;/ins&gt;la &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;complexité &lt;/ins&gt;du &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;problème &lt;/ins&gt;de &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;l’ordonnancement &lt;/ins&gt;bi-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;critère &lt;/ins&gt;pour les graphes &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;pipelinés &lt;/ins&gt;sur des plate-formes avec communications &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;homogènes&lt;/ins&gt;. En particulier nous &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;évaluons &lt;/ins&gt;la &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;complexité &lt;/ins&gt;du &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;problème &lt;/ins&gt;bien connu &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;”chains&lt;/ins&gt;-on-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;chains” &lt;/ins&gt;pour les processeurs &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;hétérogènes&lt;/ins&gt;, un &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;problème &lt;/ins&gt;qui &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;s’avère &lt;/ins&gt;NP-difficile. Nous proposons plusieurs heuristiques bi-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;critères &lt;/ins&gt;efficaces en temps polynomial. Leur performance relative est &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;évaluée &lt;/ins&gt;par des simulations intensives.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;

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		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
		<id>https://www.scipedia.com/wd/index.php?title=Benoit_et_al_2007a&amp;diff=183560&amp;oldid=prev</id>
		<title>Scipediacontent at 10:56, 22 January 2021</title>
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				<updated>2021-01-22T10:56:06Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 10:56, 22 January 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-l2&quot; &gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;== Abstract ==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;== Abstract ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;Mapping workflow applications onto parallel platforms is a challenging problem, even for simple application patterns such as pipeline graphs. Several antagonist criteria should be optimized, such as throughput and latency (or a combination). In this paper, we study the complexity of the bi-criteria mapping problem for pipeline graphs on communication homogeneous platforms. In particular, we assess the complexity of the well-known chains-to-chains problem for different-speed processors, which turns out to be NP-hard. We provide several efficient polynomial bi-criteria heuristics, and their relative performance is evaluated through extensive simulations.; &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;LÂordonnancement &lt;/del&gt;et &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;lÂallocation &lt;/del&gt;des workflows sur plates-formes parallÃ¨les est un problÃ¨me crucial, mÃªme pour des applications simples comme des graphes en pipeline. Plusieurs critÃ¨res contradictoires doivent Ãªtre optimisÃ©s, tels que le dÃ©bit et la latence (ou une combinaison des deux). Dans ce rapport, nous Ã©tudions la complexitÃ© du problÃ¨me de &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;lÂordonnancement &lt;/del&gt;bi-critÃ¨re pour les graphes pipelinÃ©s sur des plate-formes avec communications homogÃ¨nes. En particulier nous Ã©valuons la complexitÃ© du problÃ¨me bien connu &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Âchains&lt;/del&gt;-on-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;chainsÂ &lt;/del&gt;pour les processeurs hÃ©tÃ©rogÃ¨nes, un problÃ¨me qui &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;sÂavÃ¨re &lt;/del&gt;NP-difficile. Nous proposons plusieurs heuristiques bi-critÃ¨res efficaces en temps polynomial. Leur performance relative est Ã©valuÃ©e par des simulations intensives.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;Mapping workflow applications onto parallel platforms is a challenging problem, even for simple application patterns such as pipeline graphs. Several antagonist criteria should be optimized, such as throughput and latency (or a combination). In this paper, we study the complexity of the bi-criteria mapping problem for pipeline graphs on communication homogeneous platforms. In particular, we assess the complexity of the well-known chains-to-chains problem for different-speed processors, which turns out to be NP-hard. We provide several efficient polynomial bi-criteria heuristics, and their relative performance is evaluated through extensive simulations.; &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Lâordonnancement &lt;/ins&gt;et &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;lâallocation &lt;/ins&gt;des workflows sur plates-formes parallÃ¨les est un problÃ¨me crucial, mÃªme pour des applications simples comme des graphes en pipeline. Plusieurs critÃ¨res contradictoires doivent Ãªtre optimisÃ©s, tels que le dÃ©bit et la latence (ou une combinaison des deux). Dans ce rapport, nous Ã©tudions la complexitÃ© du problÃ¨me de &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;lâordonnancement &lt;/ins&gt;bi-critÃ¨re pour les graphes pipelinÃ©s sur des plate-formes avec communications homogÃ¨nes. En particulier nous Ã©valuons la complexitÃ© du problÃ¨me bien connu &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;âchains&lt;/ins&gt;-on-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;chainsâ &lt;/ins&gt;pour les processeurs hÃ©tÃ©rogÃ¨nes, un problÃ¨me qui &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;sâavÃ¨re &lt;/ins&gt;NP-difficile. Nous proposons plusieurs heuristiques bi-critÃ¨res efficaces en temps polynomial. Leur performance relative est Ã©valuÃ©e par des simulations intensives.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Document type: Report&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;== Full document ==&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;pdf&amp;gt;Media:Draft_Content_960573332-beopen279-7736-document.pdf&amp;lt;/pdf&amp;gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&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-l20&quot; &gt;Line 20:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 15:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;* [https://hal.inria.fr/hal-00803514 https://hal.inria.fr/hal-00803514]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;* [https://hal.inria.fr/hal-00803514 https://hal.inria.fr/hal-00803514]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;* [http://xplorestaging.ieee.org/ielx5/4623687/4629185/04629278.pdf?arnumber=4629278 http://xplorestaging.ieee.org/ielx5/4623687/4629185/04629278.pdf?arnumber=4629278],[http://dx.doi.org/10.1109/clustr.2007.4629278 http://dx.doi.org/10.1109/clustr.2007.4629278&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;]&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;* [http://xplorestaging.ieee.org/ielx5/4623687/4629185/04629278.pdf?arnumber=4629278 http://xplorestaging.ieee.org/ielx5/4623687/4629185/04629278.pdf?arnumber=4629278],&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: &lt;/ins&gt;[http://dx.doi.org/10.1109/clustr.2007.4629278 http://dx.doi.org/10.1109/clustr.2007.4629278]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;* [http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.ieee-000004629278 http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.ieee-000004629278],[https://hal.inria.fr/inria-00156732 https://hal.inria.fr/inria-00156732],[http://www.ens-lyon.fr/LIP/Pub/Rapports/RR/RR2007/RR2007-32.pdf http://www.ens-lyon.fr/LIP/Pub/Rapports/RR/RR2007/RR2007-32.pdf],[http://graal.ens-lyon.fr/%7Eabenoit/papers/RR-LIP-2007-32.pdf http://graal.ens-lyon.fr/%7Eabenoit/papers/RR-LIP-2007-32.pdf],[https://academic.microsoft.com/#/detail/2116311243 https://academic.microsoft.com/#/detail/2116311243&lt;/del&gt;]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;* [https://&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;hal-lara&lt;/del&gt;.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;archives&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;ouvertes&lt;/del&gt;.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;fr&lt;/del&gt;/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;hal-02102603 &lt;/del&gt;https://&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;hal&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;lara&lt;/del&gt;.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;archives&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;ouvertes&lt;/del&gt;.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;fr&lt;/del&gt;/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;hal&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;02102603&lt;/del&gt;],[https://&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;hal-lara&lt;/del&gt;.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;archives&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;ouvertes&lt;/del&gt;.fr/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;hal-02102603&lt;/del&gt;/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;document &lt;/del&gt;https://&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;hal-lara&lt;/del&gt;.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;archives&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;ouvertes&lt;/del&gt;.fr/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;hal-02102603&lt;/del&gt;/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;document&lt;/del&gt;],[&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;https&lt;/del&gt;://&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;hal-lara&lt;/del&gt;.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;archives&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;ouvertes&lt;/del&gt;.fr/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;hal-02102603&lt;/del&gt;/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;file&lt;/del&gt;/RR2007-32.pdf &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;https&lt;/del&gt;://&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;hal-lara&lt;/del&gt;.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;archives&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;ouvertes&lt;/del&gt;.fr/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;hal-02102603&lt;/del&gt;/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;file&lt;/del&gt;/RR2007-32.pdf]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;* [https://&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;dblp&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;uni&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;trier&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;de&lt;/ins&gt;/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;db/conf/cluster/cluster2007.html#BenoitRR07 &lt;/ins&gt;https://&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;dblp.uni&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;trier&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;de/db/conf/cluster/cluster2007.html#BenoitRR07],&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: [http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.ieee&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;000004629278 http://yadda&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;icm.edu.pl&lt;/ins&gt;/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;yadda/element/bwmeta1.element.ieee&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;000004629278&lt;/ins&gt;],&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: &lt;/ins&gt;[https://&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;graal&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;ens&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;lyon&lt;/ins&gt;.fr/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;~eagullo&lt;/ins&gt;/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;GDT/slides/gdt_06_12_2007.pdf &lt;/ins&gt;https://&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;graal&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;ens&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;lyon&lt;/ins&gt;.fr/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;~eagullo&lt;/ins&gt;/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;GDT/slides/gdt_06_12_2007.pdf&lt;/ins&gt;],&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: &lt;/ins&gt;[&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;http&lt;/ins&gt;://&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;www&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;ens&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;lyon&lt;/ins&gt;.fr/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;LIP/Pub/Rapports&lt;/ins&gt;/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;RR/RR2007&lt;/ins&gt;/RR2007-32.pdf &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;http&lt;/ins&gt;://&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;www&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;ens&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;lyon&lt;/ins&gt;.fr/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;LIP&lt;/ins&gt;/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Pub/Rapports/RR/RR2007&lt;/ins&gt;/RR2007-32.pdf&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;],&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: [https://hal.inria.fr/inria-00156732 https://hal.inria.fr/inria-00156732],&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: [https://www.scipedia.com/public/Benoit_et_al_2007a https://www.scipedia.com/public/Benoit_et_al_2007a],&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: [https://academic.microsoft.com/#/detail/2116311243 https://academic.microsoft.com/#/detail/2116311243&lt;/ins&gt;]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;* [https://hal.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;inria&lt;/del&gt;.fr/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;inria&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;00156732 &lt;/del&gt;https://hal.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;inria&lt;/del&gt;.fr/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;inria&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;00156732&lt;/del&gt;],[https://hal.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;inria&lt;/del&gt;.fr/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;inria&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;00156732&lt;/del&gt;/document https://hal.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;inria&lt;/del&gt;.fr/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;inria&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;00156732&lt;/del&gt;/document]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;* [https://hal&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;-lara&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;archives-ouvertes&lt;/ins&gt;.fr/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;hal&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;02102603 &lt;/ins&gt;https://hal&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;-lara&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;archives-ouvertes&lt;/ins&gt;.fr/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;hal&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;02102603&lt;/ins&gt;],&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: &lt;/ins&gt;[https://hal&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;-lara&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;archives-ouvertes&lt;/ins&gt;.fr/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;hal&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;02102603&lt;/ins&gt;/document https://hal&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;-lara&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;archives-ouvertes&lt;/ins&gt;.fr/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;hal&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;02102603&lt;/ins&gt;/document&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;],&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: [https://hal-lara.archives-ouvertes.fr/hal-02102603/file/RR2007-32.pdf https://hal-lara.archives-ouvertes.fr/hal-02102603/file/RR2007-32.pdf&lt;/ins&gt;]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;* [https://hal.inria.fr/inria-00156732 https://hal.inria.fr/inria-00156732],[https://hal.inria.fr/inria-00156732v4/document https://hal.inria.fr/inria-00156732v4/document],[https://hal.inria.fr/inria-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;00156732&lt;/del&gt;/file/RR-6232.pdf https://hal.inria.fr/inria-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;00156732&lt;/del&gt;/file/RR-6232.pdf]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;* [https://hal.inria.fr/inria-00156732 https://hal.inria.fr/inria-00156732],&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: &lt;/ins&gt;[https://hal.inria.fr/inria-00156732v4/document https://hal.inria.fr/inria-00156732v4/document],&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: &lt;/ins&gt;[https://hal.inria.fr/inria-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;00156732v4&lt;/ins&gt;/file/RR-6232.pdf https://hal.inria.fr/inria-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;00156732v4&lt;/ins&gt;/file/RR-6232.pdf]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

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&lt;/table&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
		<id>https://www.scipedia.com/wd/index.php?title=Benoit_et_al_2007a&amp;diff=177423&amp;oldid=prev</id>
		<title>Scipediacontent: Scipediacontent moved page Draft Content 960573332 to Benoit et al 2007a</title>
		<link rel="alternate" type="text/html" href="https://www.scipedia.com/wd/index.php?title=Benoit_et_al_2007a&amp;diff=177423&amp;oldid=prev"/>
				<updated>2020-10-26T10:28:54Z</updated>
		
		<summary type="html">&lt;p&gt;Scipediacontent moved page &lt;a href=&quot;/public/Draft_Content_960573332&quot; class=&quot;mw-redirect&quot; title=&quot;Draft Content 960573332&quot;&gt;Draft Content 960573332&lt;/a&gt; to &lt;a href=&quot;/public/Benoit_et_al_2007a&quot; title=&quot;Benoit et al 2007a&quot;&gt;Benoit et al 2007a&lt;/a&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr style='vertical-align: top;' lang='en'&gt;
				&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 10:28, 26 October 2020&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;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
		<id>https://www.scipedia.com/wd/index.php?title=Benoit_et_al_2007a&amp;diff=177422&amp;oldid=prev</id>
		<title>Scipediacontent: Created page with &quot; == Abstract ==  Mapping workflow applications onto parallel platforms is a challenging problem, even for simple application patterns such as pipeline graphs. Several antagoni...&quot;</title>
		<link rel="alternate" type="text/html" href="https://www.scipedia.com/wd/index.php?title=Benoit_et_al_2007a&amp;diff=177422&amp;oldid=prev"/>
				<updated>2020-10-26T10:28:50Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot; == Abstract ==  Mapping workflow applications onto parallel platforms is a challenging problem, even for simple application patterns such as pipeline graphs. Several antagoni...&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;
Mapping workflow applications onto parallel platforms is a challenging problem, even for simple application patterns such as pipeline graphs. Several antagonist criteria should be optimized, such as throughput and latency (or a combination). In this paper, we study the complexity of the bi-criteria mapping problem for pipeline graphs on communication homogeneous platforms. In particular, we assess the complexity of the well-known chains-to-chains problem for different-speed processors, which turns out to be NP-hard. We provide several efficient polynomial bi-criteria heuristics, and their relative performance is evaluated through extensive simulations.; LÂordonnancement et lÂallocation des workflows sur plates-formes parallÃ¨les est un problÃ¨me crucial, mÃªme pour des applications simples comme des graphes en pipeline. Plusieurs critÃ¨res contradictoires doivent Ãªtre optimisÃ©s, tels que le dÃ©bit et la latence (ou une combinaison des deux). Dans ce rapport, nous Ã©tudions la complexitÃ© du problÃ¨me de lÂordonnancement bi-critÃ¨re pour les graphes pipelinÃ©s sur des plate-formes avec communications homogÃ¨nes. En particulier nous Ã©valuons la complexitÃ© du problÃ¨me bien connu Âchains-on-chainsÂ pour les processeurs hÃ©tÃ©rogÃ¨nes, un problÃ¨me qui sÂavÃ¨re NP-difficile. Nous proposons plusieurs heuristiques bi-critÃ¨res efficaces en temps polynomial. Leur performance relative est Ã©valuÃ©e par des simulations intensives.&lt;br /&gt;
&lt;br /&gt;
Document type: Report&lt;br /&gt;
&lt;br /&gt;
== Full document ==&lt;br /&gt;
&amp;lt;pdf&amp;gt;Media:Draft_Content_960573332-beopen279-7736-document.pdf&amp;lt;/pdf&amp;gt;&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://arxiv.org/abs/0706.4009 http://arxiv.org/abs/0706.4009]&lt;br /&gt;
&lt;br /&gt;
* [http://arxiv.org/pdf/0706.4009 http://arxiv.org/pdf/0706.4009]&lt;br /&gt;
&lt;br /&gt;
* [https://hal.inria.fr/hal-00803514 https://hal.inria.fr/hal-00803514]&lt;br /&gt;
&lt;br /&gt;
* [http://xplorestaging.ieee.org/ielx5/4623687/4629185/04629278.pdf?arnumber=4629278 http://xplorestaging.ieee.org/ielx5/4623687/4629185/04629278.pdf?arnumber=4629278],[http://dx.doi.org/10.1109/clustr.2007.4629278 http://dx.doi.org/10.1109/clustr.2007.4629278]&lt;br /&gt;
&lt;br /&gt;
* [http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.ieee-000004629278 http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.ieee-000004629278],[https://hal.inria.fr/inria-00156732 https://hal.inria.fr/inria-00156732],[http://www.ens-lyon.fr/LIP/Pub/Rapports/RR/RR2007/RR2007-32.pdf http://www.ens-lyon.fr/LIP/Pub/Rapports/RR/RR2007/RR2007-32.pdf],[http://graal.ens-lyon.fr/%7Eabenoit/papers/RR-LIP-2007-32.pdf http://graal.ens-lyon.fr/%7Eabenoit/papers/RR-LIP-2007-32.pdf],[https://academic.microsoft.com/#/detail/2116311243 https://academic.microsoft.com/#/detail/2116311243]&lt;br /&gt;
&lt;br /&gt;
* [https://hal-lara.archives-ouvertes.fr/hal-02102603 https://hal-lara.archives-ouvertes.fr/hal-02102603],[https://hal-lara.archives-ouvertes.fr/hal-02102603/document https://hal-lara.archives-ouvertes.fr/hal-02102603/document],[https://hal-lara.archives-ouvertes.fr/hal-02102603/file/RR2007-32.pdf https://hal-lara.archives-ouvertes.fr/hal-02102603/file/RR2007-32.pdf]&lt;br /&gt;
&lt;br /&gt;
* [https://hal.inria.fr/inria-00156732 https://hal.inria.fr/inria-00156732],[https://hal.inria.fr/inria-00156732/document https://hal.inria.fr/inria-00156732/document]&lt;br /&gt;
&lt;br /&gt;
* [https://hal.inria.fr/inria-00156732 https://hal.inria.fr/inria-00156732],[https://hal.inria.fr/inria-00156732v4/document https://hal.inria.fr/inria-00156732v4/document],[https://hal.inria.fr/inria-00156732/file/RR-6232.pdf https://hal.inria.fr/inria-00156732/file/RR-6232.pdf]&lt;/div&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

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