Team Formation amidst Conflicts
arxiv(2024)
摘要
In this work, we formulate the problem of team formation amidst conflicts.
The goal is to assign individuals to tasks, with given capacities, taking into
account individuals' task preferences and the conflicts between them. Using
dependent rounding schemes as our main toolbox, we provide efficient
approximation algorithms. Our framework is extremely versatile and can model
many different real-world scenarios as they arise in educational settings and
human-resource management. We test and deploy our algorithms on real-world
datasets and we show that our algorithms find assignments that are better than
those found by natural baselines. In the educational setting we also show how
our assignments are far better than those done manually by human experts. In
the human resource management application we show how our assignments increase
the diversity of teams. Finally, using a synthetic dataset we demonstrate that
our algorithms scale very well in practice.
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