English

Minimum-weight partitioning of a set with associated subsets

Data Structures and Algorithms 2022-12-13 v1

Abstract

The paper presents complexity results and performance guaranties for a family of approximation algorithms for an optimisation problem arising in software testing and manufacturing. The problem is formulated as a partitioning of a set where each element has an associated subset in another set, but can also be viewed as a scheduling problem with infinitely large communication delay, precedence constraints in the form of a bipartite graph, and duplication.

Keywords

Cite

@article{arxiv.2212.05823,
  title  = {Minimum-weight partitioning of a set with associated subsets},
  author = {Yakov Zinder and Bertrand M. T. Lin and Joanna Berlińska},
  journal= {arXiv preprint arXiv:2212.05823},
  year   = {2022}
}
R2 v1 2026-06-28T07:30:46.519Z