Joint Metering and Conflict Resolution in Air Traffic Control

Ny, Jérôme Le; Pappas, George J.

doi:10.2514/1.53253

Cited by 18 publications

(4 citation statements)

References 25 publications

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“…Chen et al optimize trajectories, runway assignment and sequence simultaneously by using the MILP [3]. By introducing the mixed integer geometric programming (MIGP), Ny et al attain conflict resolution and joint merging that is almost same as a simultaneous optimization problem for trajectory and sequence [4]. However, the MILP is not able to treat nonlinear constrains, and the constraint that the MIGP is able to treat is monomials.…”

Section: Introductionmentioning

confidence: 99%

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Simultaneous Optimization Method for Trajectory and Sequence for Receding Horizon Guidance in Terminal Area

Toratani

Ueno

Higuchi

2015

SICE Journal of Control, Measurement, and System Integration

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The target of this study is to develop the simultaneous optimization method for trajectory and sequence in the airspace near airports (terminal area). Traditionally, the arrival sequence optimization is well studied. However, now it is required that the trajectory is also optimized for the future free flight. In the previous study, the receding horizon guidance (RHG) is developed, and the RHG is able to optimize the trajectory and the sequence. However, this optimization method is able to deal with only two aircraft. In this study, the simultaneous optimization method for trajectory and sequence that is applicable for multiple aircraft by introducing the mixed integer linear programming (MILP) and the continuous method is introduced. The simultaneous optimization method for trajectory and sequence is combined with the RHG. To demonstrate the performance of the RHG with the simultaneous optimization method for trajectory and sequence, the simulation is performed. In this simulation, it is confirmed that the new guidance law is able to optimize the trajectory and the sequence simultaneously and has robustness for uncertainty for time in the terminal area.

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Section: Introductionmentioning

confidence: 99%

“…Actually, simple vehicle models with some approximations are employed in Refs. [3] and [4]. Especially, in the field of the ATM, the base of aircraft data (BADA) and the aircraft engine emission databank are widely used for the trajectory optimization [5], [6].…”

Section: Introductionmentioning

confidence: 99%

Simultaneous Optimization Method for Trajectory and Sequence for Receding Horizon Guidance in Terminal Area

Toratani

Ueno

Higuchi

2015

SICE Journal of Control, Measurement, and System Integration

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“…Recently, several studies have investigated conflict resolution problems in the presence of traffic flow management directives such as the required time of arrival at downstream waypoints [9,10]. In those studies, the constraints in the conflict resolution problem come not only from aircraft separation conditions but also from various flow metering restrictions.…”

Section: Introductionmentioning

confidence: 99%

Conflict Management in Air Traffic Control Using Complexity Map

Hong

Kim

Lee

2015

Journal of Aircraft

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This study proposes a new method of conflict management in air traffic control that ensures a safe distance between aircraft while minimizing the workload for sector controllers. When an aircraft approaches a sector, the proper entry point is determined based on the concept of a complexity map. Using detailed information on how the traffic responds to an entering aircraft provided by the complexity map, its entry point can be modified to minimize the conflicts inside the sector. To compute the complexity map efficiently, the reachable entry points on the sector boundary are defined considering the maneuverability of the entering aircraft. Next, the variance quadtree algorithm is utilized to construct a grid of the complexity map in a coarse-to-fine manner. The performance of the proposed algorithm is verified by numerical simulations.

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“…Some work has been done on miles-in-trail separation and space metering. 22,23,24 In summary, it is potentially harmful to move too many aircraft to the same level because of smaller separations and associated higher risk. In Fig.…”

Section: B Center Level Capacity Constraintmentioning

confidence: 99%

A Linear Programming Approach to the Development of Contrail Reduction Strategies Satisfying Operationally Feasible Constraints

Wei

Sridhar

Chen

et al. 2012

AIAA Guidance, Navigation, and Control Conference

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A class of strategies has been proposed to reduce contrail formation in the United States airspace. A 3D grid based on weather data is built and the cruising altitude level of aircraft is adjusted to avoid the persistent contrail potential area with the consideration to fuel-e ciency. In this paper, the authors introduce a contrail avoidance strategy on 3D grid by considering additional operationally feasible constraints from an air tra c controllers aspect. First, shifting too many aircraft to the same cruising level will make the miles-in-trail at this level smaller than the safety separation threshold. Furthermore, the high density of aircraft at one cruising level may exceed the manageable workload for the tra c controller. Therefore, in our new model we restrict the number of total aircraft at each level. Second, the aircraft count variation for successive intervals can not be too drastic since the workload to manage climbing/descending aircraft is much larger than managing cruising aircraft. The contrail reduction problem is formulated as integer programming and the problem is shown to have the property of total unimodularity. Solving the corresponding relaxed linear programming with the simplex method provides an optimal and integral solution to the problem. Simulation results are provided to illustrate the methodology. NomenclatureT temperature in Celsius RHw relative humidity with respect to water RHi relative humidity with respect to ice l cruising altitude level index R l t potential persistent contrail formation matrix (contrail matrix) at time t at level l A l t aircraft position matrix at time t at level l CF I center contrail frequency index l fe level changing constraint b 1 (l) the number of aircraft which cruise at level l in the original flight plans b 2 (l) center level capacity at level l q given threshold of climbing/descending aircraft count

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Joint Metering and Conflict Resolution in Air Traffic Control

Cited by 18 publications

References 25 publications

Simultaneous Optimization Method for Trajectory and Sequence for Receding Horizon Guidance in Terminal Area

Simultaneous Optimization Method for Trajectory and Sequence for Receding Horizon Guidance in Terminal Area

Conflict Management in Air Traffic Control Using Complexity Map

A Linear Programming Approach to the Development of Contrail Reduction Strategies Satisfying Operationally Feasible Constraints

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