Airline Scheduling Optimization: Literature Review and a Discussion of Modeling Methodologies

Yifan Xu, S. Wandelt, Xiaoqian Sun
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Abstract

The rapid development of civil aviation over the past decades has not only led to an increasing competition among airlines, but also the rise of irregularities, with challenges concerning the improvement of regulations and schedules under the maximization of profitability. Consequently, the airline scheduling optimization problem has received significant research interest as the foundation for an efficient deployment of airline resources and meeting market demand under complex operational requirements. In this paper, we dissect fundamental airline scheduling problems by reviewing thirteen representative mathematical models for schedule design, fleet assignment, aircraft routing, crew scheduling subproblems and their potential for integration. In contrast to existing review studies on airline scheduling problems, our main contribution lies in the introduction of state-of-the-art mathematical models with a specific focus on integration and robustness. In addition, we highlight a set of promising, yet challenging directions for future research in this domain.
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航空公司排班优化:文献综述与建模方法讨论
近几十年来,民航的快速发展不仅导致了航空公司之间的竞争加剧,也导致了违规行为的增多,在盈利最大化的前提下,如何完善规章制度和航班安排是一个挑战。因此,航空公司调度优化问题作为航空公司资源有效配置和满足复杂运营需求下市场需求的基础,受到了广泛的关注。在本文中,我们通过回顾13个具有代表性的数学模型来剖析航空公司的基本调度问题,这些数学模型涉及调度设计、机队分配、飞机路由、机组调度子问题及其集成潜力。与现有的关于航班调度问题的综述研究相比,我们的主要贡献在于引入了最先进的数学模型,并特别关注集成和鲁棒性。此外,我们强调了该领域未来研究的一系列有希望但具有挑战性的方向。
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