# Data-driven Algorithm for Scheduling with Total Tardiness

### Michal BouÅ¡ka, AntonÃn NovÃ¡k, PÅ™emysl Å Å¯cha, IstvÃ¡n MÃ³dos, ZdenÄ›k HanzÃ¡lek

#### Abstract

In this paper, we investigate the use of deep learning for solving a classical N P-hard single machine scheduling problem where the criterion is to minimize the total tardiness. Instead of designing an end-to-end machine learning model, we utilize well known decomposition of the problem and we enhance it with a data-driven approach. We have designed a regressor containing a deep neural network that learns and predicts the criterion of a given set of jobs. The network acts as a polynomial-time estimator of the criterion that is used in a singlepass scheduling algorithm based on Lawler's decomposition theorem. Essentially, the regressor guides the algorithm to select the best position for each job. The experimental results show that our data-driven approach can efficiently generalize information from the training phase to significantly larger instances (up to 350 jobs) where it achieves an optimality gap of about 0.5%, which is four times less than the gap of the state-of-the-art NBR heuristic.

Download#### Paper Citation

#### in Harvard Style

BouÅ¡ka M., NovÃ¡k A., Å Å¯cha P., MÃ³dos I. and HanzÃ¡lek Z. (2020). **Data-driven Algorithm for Scheduling with Total Tardiness**.In *Proceedings of the 9th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,* ISBN 978-989-758-396-4, pages 59-68. DOI: 10.5220/0008915300590068

#### in Bibtex Style

@conference{icores20,

author={Michal BouÅ¡ka and AntonÃn NovÃ¡k and PÅ™emysl Å Å¯cha and IstvÃ¡n MÃ³dos and ZdenÄ›k HanzÃ¡lek},

title={Data-driven Algorithm for Scheduling with Total Tardiness},

booktitle={Proceedings of the 9th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},

year={2020},

pages={59-68},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0008915300590068},

isbn={978-989-758-396-4},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 9th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,

TI - Data-driven Algorithm for Scheduling with Total Tardiness

SN - 978-989-758-396-4

AU - BouÅ¡ka M.

AU - NovÃ¡k A.

AU - Å Å¯cha P.

AU - MÃ³dos I.

AU - HanzÃ¡lek Z.

PY - 2020

SP - 59

EP - 68

DO - 10.5220/0008915300590068