The Journal of Grey System ›› 2024, Vol. 36 ›› Issue (6): 27-41.

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A Grey Multi-objective Model for Slot Secondary Allocation of Arrival and Departure Flights under Autonomous Cancellation 

To address the challenges posed by uncertain passenger demand and airport capacity in the secondary allocation of arrival and departure slots for autonomously canceled flights, we have developed a grey multi-objective linear programming (MOLP) model. The model represents the uncertainty of passenger demand and airport capacity using interval grey numbers. The objective of the model is to minimize the total delay costs of airlines and the total delay time of passengers. Additionally, it takes into account constraints such as wake vortex separation and runway capacity. Furthermore, to reduce the complexity associated with solving the developed model, we propose an improved transformation method based on the concepts of grey center and width. This method streamlines the transformation process by converting the objective functions into expressions for the center and width. It employs the ε-constraint method to transform one of the objective functions into a constraint defined by the center and width, thereby minimizing the impact of constraint relaxation on the results. The results of the case study present value ranges for both non-cancellation and cancellation strategies. Additionally, the validation outcomes of the enhanced transformation method fall within the verification range, thereby confirming the model's effectiveness and the reliability of the transformation method. The model broadens the application scope of grey programming, while the proposed transformation method enhances the theoretical framework of this field.     

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