An instance of a balanced optimization problem with vector costs consists of a ground set X, a cost vector for every element of X, and a system of feasible subsets over X. The goal is to find a feasible subset that minimizes the so-called imbalance of values in every coordinate of the underlying...

The transportation problem is a fundamental problem in Operations Research, where items need to be transported from supply nodes (each with a given supply) to demand nodes (each with a given demand) in the cheapest possible way. Here, we are interested in a generalization of the transportation...

Scientific conferences have become an essential part of academic research and require significant investments (e.g. time and money) from their participants. It falls upon the organizers to develop a schedule that allows the participants to attend the talks of their interest. We present a...

We consider so-called balanced optimization problems with vector costs. We propose a framework containing such problems; this framework allows us to investigate the complexity and approximability of these problems in a general setting. More concrete, each problem in the framework admits a...