Browsing by Subject "Airport gate assignment problem"

Now showing 1 - 3 of 3

Open Access
A new formulation and an effective matheuristic for the airport gate assignment problem
(Elsevier, 2023-03) Karsu, Özlem; Solyalı, Oğuz
This study considers an airport gate assignment problem where a set of aircraft arriving to an airport are assigned to the fixed gates of the airport terminal or to the apron. The aim is to lexicographically minimize the number of aircraft assigned to the apron, and then the total walking distance by passengers. A new mixed integer linear programming formulation and a matheuristic is proposed for the problem. The proposed formulation is based on the idea of flow of passengers and has smaller size compared to the existing formulations in the literature. The proposed matheuristic, which relies on solving a restricted version of the proposed formulation of the problem, is not only easy to implement but is also very effective. A computational study performed on benchmark instances reveals that the proposed formulation and the matheuristic outperform the existing exact and heuristic algorithms in the literature.
Open Access
Exact and heuristic solution approaches for the airport gate assignment problem
(Elsevier, 2021-01-30) Karsu, Özlem; Azizoğlu, M.; Alanlı, K.
In this study, we consider an airport gate assignment problem that assigns a set of aircraft to a set of gates. The aircraft that cannot be assigned to any gate are directed to an apron. We aim to make aircraft-gate assignments so as to minimize the number of aircraft assigned to apron and among the apron usage minimizing solutions, we aim to minimize total walking distance travelled by all passengers. The problem is formulated as a mixed-integer nonlinear programming model and then it is linearized. A branch and bound algorithm, beam search and filtered beam search algorithms that employ powerful lower and upper bounding mechanisms are developed. The results of the computational experiment have shown the satisfactory performance of the algorithms.
Open Access
Lagrangian relaxation for airport gate assignment problem
(2023-07) Okur, Göksu Ece
In this study we focus on the Airport Gate Assignment Problem that minimizes the total walking distance of passengers while ensuring that the number of aircraft assigned to apron is at its minimum. We utilize an alternative formulation for the problem compared to the ones in the literature and propose approaches based on Lagrangian Relaxation so as to obtain tight lower bounds. The method also harnesses the power of a good initial upper bound and provides good quality solutions. To the best of our knowledge, the current studies in the literature rely only on upper bounds or the linear relaxation lower bounds to assess the quality of heuristic solutions. We propose using the tighter Lagrangian Relaxation based bounds as a better reference to assess solution quality. Our computational experiments demonstrate that our Lagrangian relaxation based method returns strong lower bounds and good quality upper bounds that are comparable to the state-of-the art results from the literature.