Robust Approach to Restricted Items Selection Problem
Discrete Mathematics
2019-07-23 v1 Data Structures and Algorithms
Abstract
We consider the robust version of items selection problem, in which the goal is to choose representatives from a family of sets, preserving constraints on the allowed items' combinations. We prove NP-hardness of the deterministic version, and establish polynomially solvable special cases. Next, we consider the robust version in which we aim at minimizing the maximum regret of the solution under interval parameter uncertainty. We show that this problem is hard for the second level of polynomial-time hierarchy. We develop an exact solution algorithm for the robust problem, based on cut generation, and present the results of computational experiments.
Cite
@article{arxiv.1907.09242,
title = {Robust Approach to Restricted Items Selection Problem},
author = {Maciej Drwal},
journal= {arXiv preprint arXiv:1907.09242},
year = {2019}
}