Linear and Non-Linear Mixed Integer Optimization

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Mathematics

ICERM

Audience: Researchers in the topic
Conference dates: 27-Feb-2023 to 03-Mar-2023
Organizer: Shadira Presbot*
*contact for this listing

Mixed-Integer Linear Optimization has been an important topic in optimization theory and applications since the 1960s. As a mathematical subject, it is a rich combination of aspects of geometry, algebra, number theory, and combinatorics. The interplay between the mathematics, modeling, and algorithmics makes it a deep and fascinating subject of applied mathematics, which has had an enormous impact on real-world applications. But many physical systems have nonlinear aspects and further discrete design aspects. So we are naturally led to the paradigm of Mixed-Integer Non-Linear Optimization. But the mathematics and effective algorithmics of this subject are far more daunting than the linear case, and so there is a focus on broad sub-classes where results from the linear world can be lifted up. Furthermore, effective modeling techniques are much more subtle and are intertwined with state-of-the-art algorithmics and software which are rapidly evolving.

This workshop focuses on the latest advances in both areas, Mixed-Integer Linear and Non-Linear Optimization. The workshop is a forum for presenting the latest advances as well as serving as a crucible for new research in these areas.

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