Decomposition Heuristic for the Aircraft Sequencing Problem: Impact on Mathematical and Constraint Programming

Joana Leite, Joana Leite, Rafael Guedes, Diogo Queirós

2023

Abstract

In this paper, we revisit the Aircraft Sequencing Problem (ASP), which consists of scheduling aircraft landings respecting a pre-determined time window and separation criteria. ASP has several versions, with the static single runway being the one with the longer solving times for the benchmark instances, for both mixed integer programming (MIP) and constraint programming (CP) implementations. We considered this version of the problem and addressed the possibility of using parallel processing to solve it. For this purpose, we developed a heuristic for splitting the instances, which always guarantees a feasible solution that is the optimal solution if a set of conditions is satisfied. The splitting allows for parallel processing, and opens the possibility of using the best method to solve each subset of the partition obtained. To explore this feature, we also analysed the performances of MIP and CP implementations and constructed a measure to point to the fastest one. For the benchmark instances, the results show a time reduction over 50%, in the cases the optimal solution is known, and an improvement of over 12% on the value of the best-known feasible solution, in the cases the optimal solution is not known and running time has to be limited.

Paper Citation

in Harvard Style

Leite J., Guedes R. and Queirós D. (2023). Decomposition Heuristic for the Aircraft Sequencing Problem: Impact on Mathematical and Constraint Programming. In Proceedings of the 12th International Conference on Data Science, Technology and Applications - Volume 1: DATA; ISBN 978-989-758-664-4, SciTePress, pages 303-310. DOI: 10.5220/0012081500003541

in Bibtex Style

@conference{data23,
author={Joana Leite and Rafael Guedes and Diogo Queirós},
title={Decomposition Heuristic for the Aircraft Sequencing Problem: Impact on Mathematical and Constraint Programming},
booktitle={Proceedings of the 12th International Conference on Data Science, Technology and Applications - Volume 1: DATA},
year={2023},
pages={303-310},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012081500003541},
isbn={978-989-758-664-4},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 12th International Conference on Data Science, Technology and Applications - Volume 1: DATA
TI - Decomposition Heuristic for the Aircraft Sequencing Problem: Impact on Mathematical and Constraint Programming
SN - 978-989-758-664-4
AU - Leite J.
AU - Guedes R.
AU - Queirós D.
PY - 2023
SP - 303
EP - 310
DO - 10.5220/0012081500003541
PB - SciTePress