# Multi-label Classification for the Generation of Sub-problems in Time-constrained Combinatorial Optimization

### Luca Mossina, Emmanuel Rachelson, Daniel Delahaye

#### Abstract

This paper addresses the resolution of combinatorial optimization problems presenting some kind of recurrent structure, coupled with machine learning techniques. Stemming from the assumption that such recurrent problems are the realization of an unknown generative probabilistic model, data is collected from previous resolutions of such problems and used to train a supervised learning model for multi-label classification. This model is exploited to predict a subset of decision variables to be set heuristically to a certain reference value, thus becoming fixed parameters in the original problem. The remaining variables then form a smaller subproblem whose solution, while not guaranteed to be optimal for the original problem, can be obtained faster, offering an advantageous tool for tackling time-sensitive tasks.

Download#### Paper Citation

#### in Harvard Style

Mossina L., Rachelson E. and Delahaye D. (2019). **Multi-label Classification for the Generation of Sub-problems in Time-constrained Combinatorial Optimization**.In *Proceedings of the 8th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,* ISBN 978-989-758-352-0, pages 133-141. DOI: 10.5220/0007396601330141

#### in Bibtex Style

@conference{icores19,

author={Luca Mossina and Emmanuel Rachelson and Daniel Delahaye},

title={Multi-label Classification for the Generation of Sub-problems in Time-constrained Combinatorial Optimization},

booktitle={Proceedings of the 8th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},

year={2019},

pages={133-141},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0007396601330141},

isbn={978-989-758-352-0},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 8th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,

TI - Multi-label Classification for the Generation of Sub-problems in Time-constrained Combinatorial Optimization

SN - 978-989-758-352-0

AU - Mossina L.

AU - Rachelson E.

AU - Delahaye D.

PY - 2019

SP - 133

EP - 141

DO - 10.5220/0007396601330141