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2020
DOI: 10.1007/s10479-020-03816-0
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A real-time integrated optimization of the aircraft holding time and rerouting under risk area

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Cited by 2 publications
(2 citation statements)
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“…It is worth noting that both metrics are approximations of the real values. First of all, they suppose that aircraft always minimise the total flown distance; while this is generally true, other aspects are also taken into account, like heterogeneous navigation taxes, other operational considerations, or local weather phenomena -see [72], [73], [74], [75] for examples of more complex rerouting strategies. Secondly, we do not allow for rerouting outside the existing ARN, e.g.…”
Section: Vulnerability Analysismentioning
confidence: 99%
“…It is worth noting that both metrics are approximations of the real values. First of all, they suppose that aircraft always minimise the total flown distance; while this is generally true, other aspects are also taken into account, like heterogeneous navigation taxes, other operational considerations, or local weather phenomena -see [72], [73], [74], [75] for examples of more complex rerouting strategies. Secondly, we do not allow for rerouting outside the existing ARN, e.g.…”
Section: Vulnerability Analysismentioning
confidence: 99%
“…The formulation has been then used widely in the related literature Agustín et al (2012a, b); Alonso et al (2000); Bertsimas et al (2008Bertsimas et al ( , 2011Bertsimas et al ( , 2012; Boujarif et al (2021b); Churchill et al (2009); Hamdan et al (2018);Dal Sasso et al (2018; Hamdan et al (2019Hamdan et al ( , 2020Hamdan et al ( , 2021; Vossen et al (2012). Although the binary formulation is widely used in the literature, other formulations and approaches exist, such as the graph coloring Barnier and Brisset (2004), the real-time holding and rerouting Chen et al (2020), the non-time segmented Akgunduz and Kazerooni (2018) and the shortest path with common capacity constraint Garcća-Heredia et al (2019). This paper contributes to the literature by discussing the widely used binary formulation and highlighting circumstances where this formulation will give incorrect solutions.…”
Section: Introductionmentioning
confidence: 99%