English

Explicit sets with ideal robustness are achievable in combinatorial optimization problems with cost uncertainty

Optimization and Control 2023-04-11 v2

Abstract

We present an standard constraints generation algorithm to find an explicit set whose robustness is equal to the robustness of the feasible solution set of a combinatorial optimization problem with cost uncertainty. Computational experience shows that for problems with moderate dimensions the running time of the algorithm may be tolerable and in many cases the number of solutions required to achieve near-ideal robustness may be manageable for decision makers.

Keywords

Cite

@article{arxiv.2303.17901,
  title  = {Explicit sets with ideal robustness are achievable in combinatorial optimization problems with cost uncertainty},
  author = {Alejandro Crema},
  journal= {arXiv preprint arXiv:2303.17901},
  year   = {2023}
}

Comments

I have received comments from an expert on the subject indicating that the proposed algorithm is well known. I should check this situation as soon as possible

R2 v1 2026-06-28T09:42:43.668Z