Optimal scheduling of fuel-minimal approach trajectories

Fisch, F.; Bittner, Matthias; Holzapfel, Florian

doi:10.3233/aop-140039

Cited by 6 publications

(4 citation statements)

References 7 publications

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“…This C L is introduced in a polynomial provided by the BADA model, which in turns provides the drag coefficient (C D ) that allows the drag to be computed for the given flight condition with Equation (12).…”

Section: Fuel Burn Model In the Cruise Phasementioning

confidence: 99%

“…It can also be assumed that steady climbs present small path angle variations. For this reason, C L , C D , and D can be computed with Equation (11) and Equation (12) as if it was a steady cruise. The Thrust for the aircraft configuration is computed using Equation ( 15):…”

Section: Fuel Burn Model For Climb and Descent During Cruisementioning

confidence: 99%

“…In the terminal maneuvering area, efforts have been conducted to find the optimal landing aircraft sequence to reduce fuel burn using deterministic algorithms, metaheuristic algorithms and a combination of both [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

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3D Cruise Trajectory Optimization Inspired by a Shortest Path Algorithm

2020

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Aircrafts require a large amount of fuel in order to generate enough power to perform a flight. That consumption causes the emission of polluting particles such as carbon dioxide, which is implicated in global warming. This paper proposes an algorithm which can provide the 3D reference trajectory that minimizes the flight costs and the fuel consumption. The proposed algorithm was conceived using the Floyd–Warshall methodology as a reference. Weather was taken into account by using forecasts provided by Weather Canada. The search space was modeled as a directional weighted graph. Fuel burn was computed using the Base of Aircraft DAta (BADA) model developed by Eurocontrol. The trajectories delivered by the developed algorithm were compared to long-haul flight plans computed by a European airliner and to as-flown trajectories obtained from Flightradar24®. The results reveal that up to 2000 kg of fuel can be reduced per flight, and flight time can be also reduced by up to 11 min.

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Section: Fuel Burn Model In the Cruise Phasementioning

confidence: 99%

Section: Fuel Burn Model For Climb and Descent During Cruisementioning

confidence: 99%

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3D Cruise Trajectory Optimization Inspired by a Shortest Path Algorithm

2020

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“…Sölveling et al (2011) include the environmental impact on the cost function, in terms of fuel and CO 2 emissions, when there are deviations from the nominal schedule. Fisch et al (2012) first optimize the trajectory of each aircraft and then determine an optimal landing sequence for the conflicting aircraft via a discrete nonlinear program. Faye (2015) presents a dynamic constraint generation algorithm for the aircraft landing problem with two potentially conflicting objectives: landing aircraft as earlier as possible or landing aircraft as close as possible to their scheduled landing time.…”

Section: Literature Reviewmentioning

confidence: 99%

Integration methods for aircraft scheduling and trajectory optimization at a busy terminal manoeuvring area

et al. 2019

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This paper deals with the problem of efficiently scheduling take-off and landing operations at a busy terminal manoeuvring area (TMA). This problem is particularly challenging, since the TMAs are becoming saturated due to the continuous growth of traffic demand and the limited available infrastructure capacity. The mathematical formulation of the problem requires taking into account several features simultaneously: the trajectory of each aircraft should be accurately predicted in each TMA resource, the safety rules between consecutive aircraft need to be modelled with high precision, the aircraft timing and ordering decisions have to be taken in a short time by optimizing performance indicators of practical interest, including the minimization of aircraft delays, travel times and fuel consumption. This work presents alternative approaches to integrate various modelling features and to optimize various performance indicators. The approaches are based on the resolution of mixed-integer linear programs via dedicated solvers. Computational experiments are performed on real-world data from Milano Malpensa in case of multiple delayed aircraft. The results obtained for the proposed approaches show different trade-off solutions when prioritizing different indicators. KeywordsAir traffic • Take-off and landing operations • Optimal control • Job shop scheduling • Mixed-integer linear programming • Pareto efficiency B Marcella Samà

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Exploration of optimal control based surrogate modeling as a basis for fuel efficient 4D aircraft routing on graphs

Schweighofer,

Grüter,

Holzapfel

2024

CEAS Aeronaut J

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Fuel efficient coordination of aircraft operations in the Terminal Maneuvering Area of large airports can contribute to the reduction of the environmental impact of air traffic. To exploit the full potential of the air traffic system, coordinated routing in the Terminal Maneuvering Area, runway assignment and scheduling need to be optimized considering detailed models of the aircraft dynamics and performance. Due to the inhomogeneous nature and level of detail of these combined discrete and continuous decision problems, the optimization of the overall operations poses significant challenges. As part of an integrated approach to the solution of this hybrid problem, this work explores the generation of surrogate models for the fuel consumption of individual aircraft using optimal control methods to exploit the physical capability of the aircraft within an operationally permissible envelope. The surrogate models approximate the predicted fuel consumption of a given point-mass aircraft model on short generic trajectory segments. The trade-off between flight duration and fuel consumption on such segments is analyzed, focusing on the influences of initial aircraft mass, altitude, distance, mean climb angle, along-track wind velocity and linear wind shear. An extensive description of the optimal control-based data generation and surrogate modeling methodology is followed by a discussion of the effects of parameter variation. Based on an illustrative case study, the applicability of the approach is critically analyzed.

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Optimal scheduling of fuel-minimal approach trajectories

Cited by 6 publications

References 7 publications

3D Cruise Trajectory Optimization Inspired by a Shortest Path Algorithm

3D Cruise Trajectory Optimization Inspired by a Shortest Path Algorithm

Integration methods for aircraft scheduling and trajectory optimization at a busy terminal manoeuvring area

Exploration of optimal control based surrogate modeling as a basis for fuel efficient 4D aircraft routing on graphs

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