Metaheuristic Algorithms for the Simultaneous Slot Allocation Problem

41 Pages Posted: 10 Apr 2012

See all articles by Paola Pellegrini

Paola Pellegrini

French Institute of Science and Technology for Transport, Development and Networks (IFSTTAR)

Lorenzo Castelli

Università degli Studi di Trieste

Raffaele Pesenti

Ca Foscari University of Venice - Department of Management

Date Written: October 27, 2011

Abstract

In this paper, we formalize the simultaneous slot allocation problem. It is an extension of the problem currently tackled for allocating airport slots: it deals with all airports simultaneously and it enforces the respect of airspace sector capacities. By solving this novel problem, the system may overcome some major inefficiencies that characterize the current slot allocation process. We tackle the simultaneous slot allocation problem with two algorithms based on metaheuristics, namely Iterated Local Search and Variable Neighborhood Search, and with an integer linear programming model: for each of these three algorithms, we allow a fixed computation time, and we take the best solution found during that time as the final solution. We compare these algorithms on randomly generated instances, and we show that, when small instances are to be tackled, metaheuristics are competitive with the exact model. When medium or large instances are to be tackled, the exact model suffers some major issues in terms of memory and computation time requirements. Metaheuristics, instead, can deal with very large instances, achieving very high quality results.

Keywords: air traffic management, airport slot allocation, metaheuristics, integer linear programming

Suggested Citation

Pellegrini, Paola and Castelli, Lorenzo and Pesenti, Raffaele, Metaheuristic Algorithms for the Simultaneous Slot Allocation Problem (October 27, 2011). Department of Management, Università Ca' Foscari Venezia Working Paper No. 9/2011. Available at SSRN: https://ssrn.com/abstract=2037688 or http://dx.doi.org/10.2139/ssrn.2037688

Paola Pellegrini (Contact Author)

French Institute of Science and Technology for Transport, Development and Networks (IFSTTAR) ( email )

20, rue Elisee Reclus
Villeneuve d'Ascq, 59666
France

Lorenzo Castelli

Università degli Studi di Trieste ( email )

Piazzale Europa 1
Trieste, Trieste 34100
Italy

Raffaele Pesenti

Ca Foscari University of Venice - Department of Management ( email )

San Giobbe, Cannaregio 873
Venice, 30121
Italy

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