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<h3 style="box-sizing: border-box; font-family: arial, verdana,
velvetica, sans-serif; font-weight: 500; line-height: 1.1; color:
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letter-spacing: normal; orphans: 2; text-align: left; text-indent:
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initial; text-decoration-color: initial;">CRM/DIMACS Workshop on
Mixed-Integer Nonlinear Programming</h3>
<p class="bold" style="box-sizing: border-box; margin: 0px 0px 10px;
color: rgb(32, 34, 37); font-family: Lora, Georgia, "Times
New Roman", Times, serif; font-size: 18px; font-style:
normal; font-variant-ligatures: normal; font-variant-caps: normal;
font-weight: 400; letter-spacing: normal; orphans: 2; text-align:
left; text-indent: 0px; text-transform: none; white-space: normal;
widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px;
background-color: rgba(0, 0, 0, 0.02); text-decoration-style:
initial; text-decoration-color: initial;">October 07, 2019 -
October 10, 2019</p>
<div id="organizer-content" class="location" style="box-sizing:
border-box; color: rgb(32, 34, 37); font-family: Lora, Georgia,
"Times New Roman", Times, serif; font-size: 18px;
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<p class="organizer-title bold" style="box-sizing: border-box;
margin: 0px 0px 10px;">Location:</p>
<p class="organizer-name" style="box-sizing: border-box; margin:
0px 0px 10px;">Université de Montréal Campus</p>
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<div id="organizer-content" style="box-sizing: border-box; color:
rgb(32, 34, 37); font-family: Lora, Georgia, "Times New
Roman", Times, serif; font-size: 18px; font-style: normal;
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<p class="organizer-title bold" style="box-sizing: border-box;
margin: 0px 0px 10px;">Organizer(s):</p>
<p class="organizer-name" style="box-sizing: border-box; margin:
0px 0px 10px;">Andrea Lodi, Polytechnique Montréal</p>
<p class="organizer-name" style="box-sizing: border-box; margin:
0px 0px 10px;">Bruce Shepherd, University of British Columbia<br
style="box-sizing: border-box;">
<br style="box-sizing: border-box;">
</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Mixed-Integer
Nonlinear Programming (MINLP) is the study of optimization
models which combine discrete and/or continuous variables with
non-linear constraints and objectives. As special cases, the
fields of mixed-integer linear programming (MILP) and purely
continuous convex or local nonlinear optimization (NLP) are
relatively well-developed fields. The ambitious goal of MINLP is
to work towards a fusion of the methods for discrete (MILP) and
continuous (NLP), thereby extending the theoretical advances
and broad applied impact enjoyed by MILP and NLP.</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Positive
complexity results for MILP and NLP are well known. However,
MINLP is a very broad modeling paradigm which, in its general
form, produces undecidable computational questions. There have
been, however, meaningful restrictions that have allowed some
analysis in terms of exact and approximation algorithms. These
include polynomial (quadratics in particular) objectives and
constraints, (quasi-) convex function minimization, submodular
function maximization, and reduced-dimensional functions. This
very active line of research helps delineate the limits of what
we can hope for from practical algorithms and software.
Convexification techniques are playing an important role in this
work, as it does in integer-linear optimization and global
optimization for purely continuous optimization. Other
techniques are simulatenously being developed, including methods
based on algebraic geometry and number theory.</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Mixed-integer
nonlinear programming is an attractive paradigm because it can
naturally model the physics of a system (via continuous
variables) and planning decisions (often via discrete
variables). Because of demand from practitioners in many areas
(but notably, chemical engineering, power-systems engineering,
and operations research), there are many sophisticated
"general-purpose" software packages for mixed-integer nonlinear
optimization. In addition, packages first conceived for
mixed-integer linear programming now start to handle non-convex
quadratic functions. Similarly, packages first conceived for
(purely continuous) semi-definite programs and handling linear
matrix inequalities are now emerging to handle discrete
variables. Work in mixed-integer nonlinear optimization has
informed this growth and evolution in solvers, and this workshop
aims to continue and accelerate the momentum in software growth.</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">There
remain theoretical, algorithmic, and computational challenges to
surmount before MINLP can enjoy a success that is comparable to
MILP or NLP. These challenges, together with the potential for
remarkable impact, make MINLP arguably the most exciting
frontier in mathematical optimization.</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">The
workshop will be held at Polytechnique Montréal in collaboration
with a month-long program on<span style="box-sizing:
border-box;"> </span><a
href="http://www.crm.math.ca/crm50/en/category/mixed-integer-programming/"
target="_blank" rel="noopener" style="box-sizing: border-box;
background: transparent; color: rgb(0, 48, 135);
text-decoration: underline; cursor: pointer;">Mixed Integer
Nonlinear Programming</a><span style="box-sizing: border-box;"> </span>in
October 2019 that is sponsored by the<span style="box-sizing:
border-box;"> </span><a
href="http://www.crm.math.ca/crm50/en/" target="_blank"
rel="noopener" style="box-sizing: border-box; background:
transparent; color: rgb(0, 48, 135); text-decoration:
underline; cursor: pointer;">Centre de Recherches
Mathématiques</a><span style="box-sizing: border-box;"> </span>(CRM).<br
style="box-sizing: border-box;">
<br style="box-sizing: border-box;">
</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;"><strong
style="box-sizing: border-box; font-weight: bold;">Advisory
Committee:</strong></p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Claudia
D'Ambrosio (École Polytechnique, Paris), Marcia Fampa (Federal
University of Rio de Janeiro), Fatma Kilinc-Karzan (Carnegie
Mellon University), Jon Lee (University of Michigan)<br
style="box-sizing: border-box;">
<br style="box-sizing: border-box;">
</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;"><strong
style="box-sizing: border-box; font-weight: bold;">Confirmed
speakers include:</strong></p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Amir Ali
Ahmadi (Princeton University)</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Dan
Bienstock (Columbia University)</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Christoph
Buchheim (TU Dortmund)</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Santanu
Dey (Georgia Tech)</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Aida
Khajavirad (Rutgers University)</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Leo
Liberti (CNRS)</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Jeff
Linderoth (University of Wisconsin)</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Sabastian
Sager (Otto von Guericke University, Magdeburg)</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Nick
Sahinidis (Carnegie Mellon University)</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Renata
Sotirov (Tilburg University)</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Mohit
Tawarmalani (Purdue University)</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Juan
Pablo Vielma (MIT)</p>
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Robert
Weismantel (ETH Zürich)<br style="box-sizing: border-box;">
<br style="box-sizing: border-box;">
</p>
<div id="sponsor-content" style="box-sizing: border-box;">
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Sponsored
by Centre de Recherches Mathématiques and DIMACS, in
association with the<span style="box-sizing: border-box;"> </span><a
href="http://dimacs.rutgers.edu/programs/sf/sf-optimization/"
target="blank" style="box-sizing: border-box; background:
transparent; color: rgb(0, 48, 135); text-decoration:
underline; cursor: pointer;">Special Focus on Bridging
Continuous and Discrete Optimization</a>.</p>
</div>
<div id="registration-button" style="box-sizing: border-box;">
<p style="box-sizing: border-box; margin: 0px 0px 10px;">Registration
is required but not yet open.<br style="box-sizing:
border-box;">
<br style="box-sizing: border-box;">
<a href="http://dimacs.rutgers.edu/events/details?eID=%20321"
target="_blank" rel="noopener" style="box-sizing:
border-box; background: transparent; color: rgb(0, 48, 135);
text-decoration: underline; cursor: pointer;">http://dimacs.rutgers.edu/events/details?eID=%20321</a></p>
</div>
</div>
<pre class="moz-signature" cols="72">--
Jon Lee
Industrial and Operations Engineering Department
1205 Beal Avenue
University of Michigan
Ann Arbor, MI 48109-2117
USA
</pre>
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