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A Combinatorial model to optimize air traffic flow management problems

机译:优化空中交通流量管理问题的组合模型

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摘要

In this paper we introduce a new 0-1 mathematical formulation for the Air Traffic Flow Management problem. The model is based on a 4D-graph, which allows us to consider the problem not as general combinatorial one, but as a set of shortest path problems with common capacity constraints, a fact that introduces several neat features. Among the decisions considered in the model are ground and air delays, changes in the speed of the aircraft and alternative routes. The proposed model, in comparison with the current state of the art, is shown to be an easy way to model different real complex situations (e.g., more realistic representation of costs and decisions involved, as well as dynamic sector configuration). The rapidity with which the computations are performed in this model shows the applicability of our proposal to the industry. (C) 2019 Elsevier Ltd. All rights reserved.
机译:在本文中,我们为空中交通流量管理问题介绍了一种新的0-1数学公式。该模型基于4D图,这使我们可以将问题视为一般组合约束的最短路径问题,而不是将其视为一般组合问题,这一事实引入了一些简洁的特征。在模型中考虑的决策包括地面和空中延误,飞机速度的变化以及替代路线。与当前的现有技术相比,所提出的模型被证明是对不同的实际复杂情况进行建模的简便方法(例如,所涉及的成本和决策以及动态部门配置的更真实的表示)。在此模型中执行计算的快速性表明了我们的建议对行业的适用性。 (C)2019 Elsevier Ltd.保留所有权利。

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