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<div class="WordSection1"><br>
<p class="MsoNormal" style="text-align:center" align="center"><b><span
style="font-size:14.0pt" lang="EN-US">SUMMER GRADUATE
SCHOOL<o:p></o:p></span></b></p>
<p class="MsoNormal" style="text-align:center" align="center"><b><span
style="font-size:14.0pt" lang="EN-US">IMUS- MSRI-2016<o:p></o:p></span></b></p>
<p class="MsoNormal" style="text-align:center" align="center"><b><span
style="font-size:14.0pt" lang="EN-US">Mixed Integer
Nonlinear Programming: Theory, algorithms and applications<o:p></o:p></span></b></p>
<p class="MsoNormal" style="text-align:center" align="center"><span
style="font-size:12.0pt" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align:center" align="center"><b><span
lang="EN-US">Seville (Spain), June 20th- July 1st, 2016.<o:p></o:p></span></b></p>
<p class="MsoNormal" style="text-align:justify"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align:justify"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US">This school is an exceptional event that will
take place once and it is oriented to the presentation of
theory, algorithms and applications for the solution of <b>mixed
integer nonlinear problems (MINLP</b>). Its goal is to<b> </b><span
style="color:#333333">present, in a unified way, the current
theory together with the more recent algorithms designed to
address some families of problems; we will also introduce
the participants to the use of specific solvers devoted to
formulate and to solve instances of these problems. The
lecturers will start with basic concepts, in order to be
interesting for beginners, finalizing discussing advanced
topics of this emerging area of mathematical optimization.<o:p></o:p></span></span></p>
<p class="MsoNormal" style="text-align:justify"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif;color:#333333"
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align:justify"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US">This school is intended for PhD students and
young researchers (a maximum of 30) who wish to advance
knowledge or to gain expertise in this specific field. MSRI
and the local organizers will select a number of candidates
(between 20-25) that will receive a grant to support their
expenses to attend the school. The registration deadline is
February 20<sup>th</sup>, 2016.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align:justify"><b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US"><o:p> </o:p></span></b></p>
<p class="MsoNormal" style="text-align:justify"><b><u><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US">Lecturers:<o:p></o:p></span></u></b></p>
<p class="MsoNormal" style="text-align:justify"><b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US"><o:p> </o:p></span></b></p>
<p class="MsoNormal"><b><span
style="font-family:"Arial",sans-serif"
lang="EN-US">Jeff Linderoth</span></b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US">, University of Wisconsin-Madisson, USA.<o:p></o:p></span></p>
<p class="MsoNormal"><b><span
style="font-family:"Arial",sans-serif"
lang="EN-US">Robert Weismantel</span></b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US">, ETH Zurich, <span
style="color:black;background:white">Switzerland.<o:p></o:p></span></span></p>
<p class="MsoNormal"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US"><o:p> </o:p></span></p>
<p
style="mso-margin-top-alt:0cm;margin-right:0cm;margin-bottom:7.5pt;margin-left:0cm;background:white"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif;color:#333333"
lang="EN-US">The program activities is organized in two
lectures taught in the mornings <o:p></o:p></span></p>
<p
style="mso-margin-top-alt:0cm;margin-right:0cm;margin-bottom:7.5pt;margin-left:36.0pt;text-indent:-18.0pt;line-height:15.0pt;mso-list:l0
level1 lfo1;background:white"><!--[if !supportLists]--><span
style="font-size:10.0pt;font-family:"Arial",sans-serif;color:#333333"><span
style="mso-list:Ignore">1.<span style="font:7.0pt
"Times New Roman""> </span></span></span><!--[endif]--><span
style="font-size:10.0pt;font-family:"Arial",sans-serif;color:#333333">Lectures:<o:p></o:p></span></p>
<ol style="margin-top:0cm" start="1" type="1">
<ol style="margin-top:0cm" start="1" type="a">
<li class="MsoNormal"
style="color:#333333;margin-top:7.5pt;mso-margin-bottom-alt:auto;line-height:15.0pt;mso-list:l0
level2 lfo1;background:white;box-sizing: border-box"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US">The Theory of Mixed Integer Non-linear
Programming. (</span><span
style="font-size:10.0pt;font-family:"Arial",sans-serif;color:windowtext"
lang="EN-US">Robert Weismantel, ETH Zurich, </span><span
style="font-size:10.0pt;font-family:"Arial",sans-serif;color:black;background:white"
lang="EN-US">Switzerland.)</span><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US"><o:p></o:p></span></li>
<li class="MsoNormal"
style="color:#333333;margin-top:7.5pt;mso-margin-bottom-alt:auto;line-height:15.0pt;mso-list:l0
level2 lfo1;background:white"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US">Modeling aspects and applications of Mixed
Integer Non-linear programming. (</span><span
style="font-size:10.0pt;font-family:"Arial",sans-serif;color:windowtext"
lang="EN-US">Jeff Linderoth, University of
Wisconsin-Madisson, USA.)</span><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US"><o:p></o:p></span></li>
</ol>
<li class="MsoNormal"
style="color:#333333;margin-top:7.5pt;mso-margin-bottom-alt:auto;text-align:justify;mso-list:l0
level1 lfo1;background:white"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US">Problem solving and applications sessions will
be organized during the afternoon, and led by the TAs. These
sessions will be devoted to working on problem sets, on real
life applications, and on various projects developed by the
students. Lab sessions with available MINLP solvers will
also be included.<o:p></o:p></span></li>
<li class="MsoNormal"
style="color:#333333;margin-top:7.5pt;mso-margin-bottom-alt:auto;text-align:justify;mso-list:l0
level1 lfo1;background:white"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif;color:windowtext"
lang="EN-US">A cornerstone of the program is having
students presentations about basic topics in the field.
This allows students, even those with a more limited
background, to work with source materials, and to practice
lecturing about what they learn. We will ask students to
prepare short (25-30 minute) talks on research papers of
their choice. We will guide them in the preparation of their
talk, as well as provide constructive criticisms of their
presentation.</span><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US"><o:p></o:p></span></li>
</ol>
<p class="MsoNormal"
style="margin-top:7.5pt;mso-margin-bottom-alt:auto;text-align:justify;background:white"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US">The Course will be held at IMUS, the Institute of
Mathematics of the University of Seville, from June 20th till
July 1<sup>st</sup>, 2016 (<a class="moz-txt-link-freetext"
href="http://www.imus.us.es/IMUS-MSRI2016/es/">http://www.imus.us.es/IMUS-MSRI2016/es/</a>
) and will be co-organized by the MSRI (Berkeley), the IMUS
Universidad de Sevilla and it is partially supported by EURO.
The course has been approved by the MRSI board and additional
information is available at </span><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"><a
href="http://www.msri.org/summer_schools/773"><span
lang="EN-US"></span></a><a class="moz-txt-link-freetext"
href="http://www.msri.org/summer_schools/773">http://www.msri.org/summer_schools/773</a></span><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US"> .</span></p>
<p class="MsoNormal"
style="margin-top:7.5pt;mso-margin-bottom-alt:auto;text-align:justify;background:white"><br>
<span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-align:justify"><b><u><span
style="font-size:10.0pt;font-family:"Arial",sans-serif">Local
Organizers</span></u></b><b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif">:<o:p></o:p></span></b></p>
<p class="MsoNormal" style="text-align:justify"><b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"><o:p> </o:p></span></b></p>
<p class="MsoNormal" style="text-align:justify"><b><i><span
style="font-size:10.0pt;font-family:"Arial",sans-serif">Franscisco
J. Castro</span></i></b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif">,
Universidad de Sevilla, Spain.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align:justify"><b><i><span
style="font-size:10.0pt;font-family:"Arial",sans-serif">Elena
Fernández</span></i></b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif">,
Universidad Politécnica Cataluña, Spain.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align:justify"><b><i><span
style="font-size:10.0pt;font-family:"Arial",sans-serif">Justo
Puerto</span></i></b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif">,
Universidad de Sevilla, Spain.<o:p></o:p></span></p>
<p class="MsoNormal"><o:p> </o:p></p>
<o:p></o:p>
<p class="MsoNormal"><o:p> </o:p></p>
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