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Dual Conflict Analysis for Mixed-Integer Semidefinite Programs

In: Operations Research Proceedings 2023

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  • Marc E. Pfetsch

    (TU Darmstadt)

Abstract

Conflict analysis originally tried to exploit the knowledge that certain nodes in a relaxation-based branch-and-bound are infeasible. It has been extended to derive valid constraints also from feasible nodes. This paper adapts this approach to mixed-integer semidefinite programs. Using dual solutions, the primal constraints are aggregated and the resulting inequalities can be used at different nodes in the tree to tighten variable bounds. We show that this helps to speed up the solutions times by about 8 % on our testset.

Suggested Citation

  • Marc E. Pfetsch, 2025. "Dual Conflict Analysis for Mixed-Integer Semidefinite Programs," Lecture Notes in Operations Research, in: Guido Voigt & Malte Fliedner & Knut Haase & Wolfgang Brüggemann & Kai Hoberg & Joern Meissner (ed.), Operations Research Proceedings 2023, chapter 0, pages 57-64, Springer.
    • Handle: RePEc:spr:lnopch:978-3-031-58405-3_8
    DOI: 10.1007/978-3-031-58405-3_8
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