activity
20242026
collaborators

8 papers

math.OC2026

CHAP: A Hybrid GPU-CPU Heuristic for MIP

Gennesaret Kharistio Tjusila, Alexander Hoen, Nils-Christian Kempke +5

We present CHAP (Coordinating Heuristics Across Platforms) a GPU-CPU-hybrid primal heuristic framework for mixed-integer programming. CHAP adopts a portfolio approach where it coor…

math.OC2026

Clique Probing for Mixed-Integer Programs

Jacob von Holly-Ponientzietz, Alexander Hoen, Mark Turner +1

Probing is an important presolving technique in mixed-integer programming solvers. It selects binary variables, tentatively fixes them to 0 and 1, and performs propagation to deduc…

math.OC2025

The SCIP Optimization Suite 10.0

Christopher Hojny, Mathieu Besançon, Ksenia Bestuzheva +31

The SCIP Optimization Suite provides a collection of software packages for mathematical optimization, centered around the constraint integer programming (CIP) framework SCIP. This…

math.OC2025

MIP-DD: A Delta Debugger for Mixed Integer Programming Solvers

Alexander Hoen, Dominik Kamp, Ambros Gleixner

The recent performance improvements in mixed-integer programming (MIP) have been accompanied by a significantly increased complexity of the codes of MIP solvers, which poses challe…

math.OC2025

Analyzing the numerical correctness of branch-and-bound decisions for mixed-integer programming

Alexander Hoen, Ambros Gleixner

Most state-of-the-art branch-and-bound solvers for mixed-integer linear programming rely on limited-precision floating-point arithmetic and use numerical tolerances when reasoning…

math.OC2025

State-of-the-art Methods for Pseudo-Boolean Solving with SCIP

Gioni Mexi, Dominik Kamp, Yuji Shinano +8

The Pseudo-Boolean problem deals with linear or polynomial constraints with integer coefficients over Boolean variables. The objective lies in optimizing a linear objective functio…