Arrival air traffic separations assessment using Maximum Likelihood Estimation and Fisher Information Matrix

Pawełek, Adrian; Lichota, Piotr

doi:10.1109/carpathiancc.2019.8765997

Cited by 4 publications

(5 citation statements)

References 4 publications

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“…By enforcing this, the model ensures that flights adhere to their scheduled flight paths and timings, reducing the potential for air traffic congestion or conflicts. Time window constraints, particularly in dense airspaces, are essential to maintaining a steady flow of traffic [21,22]. Constraint ( 7): This constraint guarantees that the time duration for a flight to traverse between two consecutive waypoints is no less than the minimum flying duration established for that segment.…”

Section: Constraintsmentioning

confidence: 99%

Optimal Sequencing of Arrival Flights at Metroplex Airports: A Study on Shared Waypoints Based on Path Selection and Rolling Horizon Control

Jiang,

Zhang

2023

Aerospace

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The civil aviation industry is experiencing significant growth in air traffic density within terminal areas, necessitating improved air traffic efficiency. In China’s pursuit of world-class airport clusters, operational complexities arise due to the co-location of these airports in the same terminal area airspace, resulting in lower operational efficiency. To mitigate congestion and flight delays, this study proposes an integrated model that considers multiple runways and route selections, accounting for actual route point restrictions. Utilizing actual operational data from Shanghai metroplex, the proposed model is validated. The study focuses on the airport metroplex system and presents a comprehensive mixed-integer programming (MIP) model for arrival sequencing, considering multiple airports, runways, and routes. The maximum landing efficiency is adopted as the objective function, optimizing arrival scheduling while considering time intervals, route selection, and landing constraints. The Multi-waypoint Rolling Horizon Control (MWRHC) algorithm is employed to tackle time-efficiency challenges, ensuring flight safety by continuous monitoring of flights in the terminal area. Comparative analysis reveals the algorithm’s superior optimization performance for single-runway airports compared to dual-runway airports. Overall, the proposed model and algorithm effectively improve the efficiency of multi-airport arrival scheduling in airport metroplex systems.

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Section: Constraintsmentioning

confidence: 99%

Optimal Sequencing of Arrival Flights at Metroplex Airports: A Study on Shared Waypoints Based on Path Selection and Rolling Horizon Control

Jiang,

Zhang

2023

Aerospace

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“…In this section, we present three numerical examples, similar to [14], [62], to analyze the performance of our proposal. This framework of numerical simulations is typically used when the performance of new estimation algorithms are tested with problems for which an experimental setup cannot be planned or to reduce the costs of experiments [63], [64].…”

Section: Numerical Examplesmentioning

confidence: 99%

Finite Impulse Response Errors-in-Variables System Identification Utilizing Approximated Likelihood and Gaussian Mixture Models

et al. 2023

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In this paper a Maximum likelihood estimation algorithm for Finite Impulse Response Errors-in-Variables systems is developed. We consider that the noise-free input signal is Gaussian-mixture distributed. We propose an Expectation-Maximization-based algorithm to estimate the system model parameters, the input and output noise variances, and the Gaussian mixture noise-free input parameters. The benefits of our proposal are illustrated via numerical simulations.

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“…where 𝑦 𝑘 is model output value corresponding to observed value 𝑧 𝑘 . Fitting probability distributions using MLE was performed as described in [13] where several dozens of various continuous probability distributions were used to find the best fit distribution, and for each of them probability density function parameters were estimated.…”

Section: Air Traffic Datamentioning

confidence: 99%

“…Models of this kind can be used to generate data samples, compare air traffic data, and validate similar models. Modelling of aircraft air separation by using continuous probability distributions was performed in [13] for a single airport and found efficient. Moreover, in the mentioned case, only a small number of sample days was analyzed.…”

Section: Introductionmentioning

confidence: 99%

Bulletin of the Polish Academy of Sciences: Technical Sciences

Pawełek,

Lichota

2022

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Quick development of computer techniques and increasing computational power allow for building high-fidelity models of various complex objects and processes using historical data. One of the processes of this kind is an air traffic, and there is a growing need for traffic mathematical models as air traffic is increasing and becoming more complex to manage. This study concerned the modelling of a part of the arrival process. The first part of the research was air separation modelling by using continuous probability distributions. Fisher information matrix was used for the best fit selection. The second part of the research consisted of applying regression models that best match the parameters of representative distributions. Over a dozen airports were analyzed in the study and that allowed to build a generalized model for aircraft air separation in function of traffic intensity. Results showed that building a generalized model which comprises traffic from various airports is possible. Moreover, aircraft air separation can be expressed by easy to use mathematical functions. Models of this kind can be used for various applications, e.g.: air separation management between aircraft, airports arrival capacity management, and higher-level air traffic simulation or optimization tasks.

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Arrival air traffic separations assessment using Maximum Likelihood Estimation and Fisher Information Matrix

Cited by 4 publications

References 4 publications

Optimal Sequencing of Arrival Flights at Metroplex Airports: A Study on Shared Waypoints Based on Path Selection and Rolling Horizon Control

Optimal Sequencing of Arrival Flights at Metroplex Airports: A Study on Shared Waypoints Based on Path Selection and Rolling Horizon Control

Finite Impulse Response Errors-in-Variables System Identification Utilizing Approximated Likelihood and Gaussian Mixture Models

Bulletin of the Polish Academy of Sciences: Technical Sciences

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