# Survey Lecture: Christina Büsing: Robust Minimum Cost Flow Problem Under Consistent Flow Constraints

### Thursday, July 08, 2021, 4:30pm

Speaker: Christina Büsing

Abstract:

The minimum cost flow problem is one of the best known problems in combinatorial optimization. Next to nice structural properties, many applications can be modeled via a minimum cost flow networks. In this talk we will extend this problem to include demand and supply uncertainty. For all demand realizations, however, we require that the flow value on an arc needs to be equal if it is included in the predetermined arc set given. The objective is to find feasible flows that satisfy the equal flow requirements while minimizing the maximum occurring cost among all demand realizations. We will provide structural results and prove e.g. that the Integral Flow Theorem does not hold anymore. Furthermore, we provide several complexity results and derive some polynomial solvable cases.

The talks of the UnRAVeL survey lecture 2021 will be given via Zoom every Thursday from 16:30 to 18:00:

Meeting ID: 960 4371 5437

Passcode: 039217