Abstract

Fairness constitutes an important criterion for allocating scarce resources among self-interested parties. The capacity of congested airports is a scarce resource which is allocated in the form of slots to airlines to operate their flights. Traditionally, the optimisation of slot allocation efficiency has been considered as the primary criterion in making slot allocation decisions at capacity-constrained airports. The efficiency of slot allocation is expressed as a function of displacement, which is defined as the difference between the time requested by the airlines and the time allocated to airlines to operate their flights. Recent research work has considered fairness as an additional slot allocation objective. However, the literature has not adequately addressed the following two key research questions: i) in the presence of alternative fairness measures, which fairness measure should be used to investigate the slot allocation efficiency-fairness trade-off, and how the choice of the efficient frontier describing this trade-off should be made? and ii) given that the choice of the efficient frontier has been made, which slot allocation solution should be selected for implementation, and how this choice should be made? To address these questions, we investigate three inter-airline fairness objectives, and we introduce a decision-making framework to assist decision-makers in identifying the most preferable acceptable slot allocation outcome. The proposed decision-making framework is based on a voting mechanism which incorporates the preferences of stakeholders. We use slot request and capacity data to determine the most preferable slot allocation outcome at a capacity-constrained airport.

Highlights

  • The rapid growth of demand for air transport services has amplified congestion at airports around the world

  • We investigated three fairness objectives, namely, absolute fairness, relative fairness, and the Gini index, for modelling inter-airline fairness in the airport slot scheduling problem

  • We investigated the relationship between the absolute and relative fairness objectives, and we proved that given the value of the absolute fairness objective, the bound of relative fairness objective can be derived

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Summary

Introduction

The rapid growth of demand for air transport services has amplified congestion at airports around the world. Models considering inter-flight slot allocation fairness measures, i.e. measures that seek to allocate fairly schedule displacement among flights, have been proposed in the literature (Jacquillat and Odoni, 2015; Zografos et al, 2018; Ribeiro et al, 2018; 2019). The objective of this paper, which builds upon our work presented at the 96th Transportation Research Board Meeting (Zografos and Jiang, 2017), is to introduce a decision-making framework for selecting the most preferable airport slot allocation decision when considering explicitly efficiency-fairness trade-offs. The proposed decision-making framework is developed in the airport slot allocation context defined by the IATA World Scheduling Guidelines. A concise description of the slot allocation decision-making process in the context of the IATA World Scheduling Guidelines can be found in (Zografos et al, 2012).

Literature review
Notation
Fairness metric
Fairness objectives
Bi-objective modelling framework
Solution algorithm
Voting mechanism and airlines’ utility function
Most preferable solution
Case study
Generating efficient frontiers for alternative fairness objectives
Determining the most preferable acceptable slot allocation
Effect of μfaair on the number of acceptable solutions
Effect of wfair on determining the most preferable acceptable slot allocation
Efficient frontiers for the non-hierarchical
Findings
Concluding remarks
Full Text
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