AA3 – Next Generation Networks



Convex Solver Adaptivity for Mixed-Integer Optimization

Project Heads

Mathieu Besançon, Ralf Borndörfer, Sebastian Pokutta

Project Members

Deborah Hendrych

Project Duration

01.04.2023 – 31.03.2026

Located at



We want to investigate mixed-integer optimization with a convex differentiable objective and solution approaches based on error-adaptive convex solvers in branch-and-bound. We will focus on lower bound improvements within the tree and the tradeoff between the lower bound increase and computational costs of strong relaxations.


We aim to develop a branch-and-bound-based methodology for mixed-integer convex problems that accelerates the solution process by taking advantage of the specificities of modern MILP techniques and error-adaptive first-order methods.

Two aspects that will in particular be developed and exploited are warm-starting in convex and mixed-integer linear optimization, and early termination resulting in the controlled inexactness of some oracles.

Selected Publications

Hendrych, Deborah, Hannah Troppens, Mathieu Besançon, and Sebastian Pokutta. “Convex integer optimization with Frank-Wolfe methods.” arXiv preprint arXiv:2208.11010 (2022).

Software Repositories

The Boscia.jl accompanying arxiv:2208.11010 is available at https://github.com/ZIB-IOL/Boscia.jl and can be installed from the official Julia registry.

Please insert any kind of pictures (photos, diagramms, simulations, graphics) related to the project in the above right field (Image with Text), by choosing the green plus image on top of the text editor. (You will be directed to the media library where you can add new files.)
(We need pictures for a lot of purposes in different contexts, like posters, scientific reports, flyers, website,…
Please upload pictures that might be just nice to look at, illustrate, explain or summarize your work.)

As Title in the above form please add a copyright.

And please give a short description of the picture and the context in the above textbox.

Don’t forget to press the “Save changes” button at the bottom of the box.

If you want to add more pictures, please use the “clone”-button at the right top of the above grey box.