Business Analytics Seminar (PhD seminar): Mark Lyngesen, AU

Title: Solving block–structured Integer programs with soft coupling constraint using Multi–Objectivization

Info about event

Time

Wednesday 18 March 2026,  at 12:30 - 13:30

Location

Universitetsbyen 51, Building 1814, Room 151

Abstract: In this talk I we consider block-structured integer programs with a single coupling constraint, and an approach to solve these by interpreting the coupling constraint as a second objective. This results in an additively separable bi-objective optimization problem with a solution set, which contains the optimal solution to the original problem. The resulting bi-objective problem is in general harder to solve than the original problem but provides a richer solution set. We therefore propose ways of directing the search for solutions to those solutions mapping to a predefined region of interest. This approach allows us to use decomposition methods while also providing the decision maker with a set of alternative 'interesting' solutions.