New Approach for Modeling, Analysis, and Control of Air Traffic Flow

Menon, P. K.; Sweriduk, Gregory D.; Bilimoria, Karl D.

doi:10.2514/1.2556

Cited by 122 publications

(94 citation statements)

References 6 publications

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“…1(b). Note that network approaches to describe air traffic have been proposed in previous studies [18][19][20]; however, these studies did not focus on the surface congestion effect. In addition to the conventional approaches in the field of management science, the network modeling of aviation transport has recently been attempted [21,22] from a network science [23][24][25][26] perspective, supported by the recent understanding of airport networks [27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Potential global jamming transition in aviation networks

Ezaki

Nishinari

2014

Phys. Rev. E

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In this paper, we propose a nonlinear transport model for an aviation network. The takeoff rate from an airport is characterized by the degree of ground congestion. Due to the effect of surface congestion, the performance of an airport deteriorates because of inefficient configurations of waiting aircraft on the ground. Using a simple transport model, we performed simulations on a U. S. airport network and found a global jamming transition induced by local surface congestion. From a physical perspective, the mechanism of the transition is studied analytically and the resulting aircraft distribution is discussed considering system dynamics. This study shows that the knowledge of the relationship between a takeoff rate and a congestion level on the ground is vital for efficient air traffic operations.

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Section: Introductionmentioning

confidence: 99%

Potential global jamming transition in aviation networks

Ezaki

Nishinari

2014

Phys. Rev. E

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“…bigger bias when computing the transmission between sector boundaries. In contrast, the modified Menon model uses latitude-longitude tessellation [2], which computes the transmission pattern at a larger geographic scale and consequently results in smaller bias. This subsection evaluates the overall performance of LTM throughout the NAS, the statistics of 485 high altitude sectors are analyzed.…”

Section: B the Dual Decomposition Algorithm Based On The Ltmmentioning

confidence: 99%

“…The Eulerian models are introduced to decrease the problem size by aggregating aircraft into flows. Outstanding paradigms include Menon's Model [2,3], Linear Dynamic System Model (LDSM) [4,5], and Partial Differential Equation Model (PDE) [6]. These models have dimensions that are independent of the number of aircraft.…”

mentioning

confidence: 99%

Link Transmission Model for Air Traffic Flow Management

Cao

Sun

2011

Journal of Guidance, Control, and Dynamics

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Optimization of the air traffic flow in the National Airspace System is by nature a large-scale problem which entails intensive computation. This paper presents a linear integer programming approach which decreases the computing time by aggregating the aircraft count at a link level based on the Large-capacity Cell Transmission Model. The improved model has fewer state variables and constraints which result in a reduced dimension problem. Taking advantage of dual decomposition method, the nationwide optimization is decomposed into independent subproblems path by path and optimized sequentially. The solution converges asymptotically to the global optimum. The major contribution of the proposed model is that it is about six times faster than Large-capacity Cell Transmission Model while maintaining an equally optimal solution. Another improvement is the modeling of ground delay and air delay. The traffic forecasting capability of the new model is also examined statistically at the sector level and nationwide level respectively. Accuracy statistics indicate that the sector counts are predicted with relative errors less than 20% within 80% of the high altitude sectors in the U.S. airspace, further analysis also suggests that the proposed model is comparable to two earlier Eulerian models.

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“…In two previous papers 1 , 2 we have shown that an Eulerian approach to modeling the airspace, as first proposed by Menon et al, 3 could be applied to the air traffic flow control problem. This technique divides the airspace into line elements, or links, and associates with each link an aircraft density and velocity profile.…”

Section: Introductionmentioning

confidence: 99%

A Cooperative Distributed Approach to Multi-Agent Eulerian Network Control: Application to Air Traffic Management

Raffard

Waslander

Bayen

et al. 2005

AIAA Guidance, Navigation, and Control Conference and Exhibit

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Based on an Eulerian network model, air traffic flow in the National Airspace System is optimized using second order adjoint methods for hyperbolic PDEs. Multiple airlines with independent cost structures are added to previous work on air traffic flow modeling and optimization. A cooperative, distributed solution methodology is proposed that allows airlines to keep cost information private by distributing the computational workload between the airlines while ensuring efficient outcomes. The Nash Bargaining Solution is presented as a possible solution concept, and a distributed method for its calculation is presented.

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New Approach for Modeling, Analysis, and Control of Air Traffic Flow

Cited by 122 publications

References 6 publications

Potential global jamming transition in aviation networks

Potential global jamming transition in aviation networks

Link Transmission Model for Air Traffic Flow Management

A Cooperative Distributed Approach to Multi-Agent Eulerian Network Control: Application to Air Traffic Management

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