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<div><span></span> Dear Dr. Gamrath,</div><div><br></div><div>Thanks. Is there any reference regarding implementation of Lagrangian relaxation based branch and bound in the SCIP? </div>
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Best regards,<div><br></div><div><br></div><div>Xiangyong<br><blockquote style="margin-top: 0px; margin-bottom: 0px; margin-left: 0.5em;"><div> </div><div style="border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0cm 0cm 0cm"><div style="PADDING-RIGHT: 8px; PADDING-LEFT: 8px; FONT-SIZE: 12px;FONT-FAMILY:tahoma;COLOR:#000000; BACKGROUND: #efefef; PADDING-BOTTOM: 8px; PADDING-TOP: 8px"><div><b>From:</b> <a href="mailto:gamrath@zib.de">Gerald Gamrath</a></div><div><b>Date:</b> 2014-08-19 18:26</div><div><b>To:</b> <a href="mailto:lixiangyong@163.com">lixiangyong@163.com</a>; <a href="mailto:scip@zib.de">scip</a></div><div><b>Subject:</b> Re: [Scip] how to implement Lagrangian relaxation based branch-and-bound?</div></div></div><div><div class="FoxDiv20140819215228559985">
<div class="moz-cite-prefix">Dear Xiangyong,<br>
<br>
yes, you can use SCIP for that. You need to implement a relaxation
handler, see<br>
<a class="moz-txt-link-freetext" href="http://scip.zib.de/doc/html/RELAX.php">http://scip.zib.de/doc/html/RELAX.php</a><br>
<br>
Additionally, you can turn off LP solving by setting the parameter
"lp/solvefreq" to -1.<br>
<br>
Best,<br>
Gerald<br>
<br>
Am 19.08.2014 um 03:44 schrieb <a class="moz-txt-link-abbreviated" href="mailto:lixiangyong@163.com">lixiangyong@163.com</a>:<br>
</div>
<blockquote cite="mid:2014081909445046580813@163.com" type="cite" style="margin-top: 0px;">
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<p dir="ltr" style="font-size: 21px; margin-top: 0px; margin-bottom: 0px;"> Dear all, </p>
<p dir="ltr" style="font-size: 21px; margin-top: 0px; margin-bottom: 0px;"><br>
</p>
<p dir="ltr" style="margin-bottom: 0px; margin-top: 0px; font-size: 21px;">
I want to implement a Lagrangian relaxation based on branch-and
bound algorithm. That is,
at each node of the enumeration tree,
I do not solve LP relaxation,
but Lagrangian dual problem to determine a good lower bound and also
try to get an upper bound.
Also I have my own branching strategy. </p>
<p dir="ltr" style="margin-bottom: 0px; margin-top: 0px; font-size: 21px;"> </p>
<p dir="ltr" style="margin-bottom: 0px; margin-top: 0px; font-size: 21px;"> Can I use SCIP
as a framework to implement my algorithm? In other words, SCIP
takes charge of
most of the job and I only control the solving of Lagrangian Dual and branching. </p>
<p dir="ltr" style="margin-bottom: 0px; margin-top: 0px; font-size: 21px;"><span style="background-color: window;
line-height: 1.5;"><br>
</span></p>
<p dir="ltr" style="margin-bottom: 0px; margin-top: 0px; font-size: 21px;"><span style="background-color: window;
line-height: 1.5;">Is it possible to use solvecallback to solve a Lagrangian dual at each node and turn off solving the LP relaxation? Is there any way to pass this new lower bound to SCIP
and ask SCIP to control the search tree? </span></p>
<p dir="ltr" style="margin-bottom: 0px; margin-top: 0px; font-size: 21px;"> Is there any reference in the SCIP manual?
</p>
<p dir="ltr" style="margin-bottom: 0px; margin-top: 0px; font-size: 21px;"> </p>
<p dir="ltr" style="margin-bottom: 0px; margin-top: 0px; font-size: 21px;">
Would you please give me some suggestions? Thanks.</p>
<p dir="ltr" style="margin-bottom: 0px; margin-top: 0px; font-size: 21px;"><br>
</p>
<p dir="ltr" style="margin-bottom: 0px; margin-top: 0px; font-size: 21px;"><br>
</p>
<p dir="ltr" style="margin-bottom: 0px; margin-top: 0px; font-size: 21px;">Xiangyong Li</p>
</div>
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