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We address the aircraft conflict resolution problem under trajectory prediction uncertainty. We consider that aircraft velocity vectors may be perturbed due to weather effects, such as wind, or measurement errors. Such perturbations may…

Optimization and Control · Mathematics 2020-12-16 Fernando H C Dias , David Rey

As air traffic volume is continuously increasing, it has become a priority to improve traffic control algorithms to handle future air travel demand and improve airspace capacity. We address the conflict resolution problem in air traffic…

Optimization and Control · Mathematics 2020-02-18 Fernando H. C. Dias , Stephanie Rahme , David Rey

This paper discusses the effect of sequential conflict resolution maneuvers of an infinite aircraft flow through a finite control volume. Aircraft flow models are utilized to simulate traffic flows and determine stability. Pseudo-random…

Optimization and Control · Mathematics 2010-10-05 Troy Hand , Zhi-Hong Mao , Eric Feron

As the airspace becomes increasingly congested, decentralized conflict resolution methods for airplane encounters have become essential. While decentralized safety controllers can prevent dangerous midair collisions, they do not always…

Systems and Control · Electrical Eng. & Systems 2025-08-04 Shuhao Qi , Zhiqi Tang , Zhiyong Sun , Sofie Haesaert

An aircraft conflict occurs when two or more aircraft cross at a certain distance at the same time. Specific air traffic controllers are assigned to solve such conflicts. A controller needs to consider various types of information in order…

Machine Learning · Computer Science 2022-12-27 Md Siddiqur Rahman , Laurent Lapasset , Josiane Mothe

Resolving conflicts from merging different software versions is a challenging task. To reduce the overhead of manual merging, researchers develop various program analysis-based tools which only solve specific types of conflicts and have a…

Software Engineering · Computer Science 2024-09-24 Qingyu Zhang , Liangcai Su , Kai Ye , Chenxiong Qian

To guarantee the safety of flight operations, decision-support systems for air traffic control must be able to improve the usage of airspace capacity and handle increasing demand. In this study, we address the aircraft conflict avoidance…

Optimization and Control · Mathematics 2022-03-24 Fernando H. C. Dias , David Rey

We address the aircraft conflict resolution problem in air traffic control. We introduce new mixed-integer programming formulations for aircraft conflict resolution with speed, heading and altitude control which are based on disjunctive…

Optimization and Control · Mathematics 2020-08-28 Fernando H. C. Dias , Hassan Hijazi , David Rey

Many authors, mainly in the context of the Bin Packing Problem with Conflicts, used the random graph generator proposed in "Heuristics and lower bounds for the bin packing problem with conflicts" [M. Gendreau, G. Laporte, and F. Semet,…

Combinatorics · Mathematics 2021-12-02 Tiziano Bacci , Sara Nicoloso

The Unmanned Aerial Vehicle (UAV) path planning problem is a complex optimization problem in the field of robotics. In this paper, we investigate the possible utilization of this problem in benchmarking global optimization methods. We…

Neural and Evolutionary Computing · Computer Science 2025-01-27 Mhd Ali Shehadeh , Jakub Kudela

The use of drones in logistics is gaining more and more interest, and drones are becoming a more viable and common way of distributing parcels in an urban environment. As a consequence, there is a flourishing production of articles in the…

Discrete Mathematics · Computer Science 2021-07-29 Mauro Dell'Amico , Roberto Montemanni , Stefano Novellani

Nowadays, huge efforts are made to modernize the air traffic management systems to cope with uncertainty, complexity and sub-optimality. An answer is to enhance the information sharing between the stakeholders. This paper introduces a…

Artificial Intelligence · Computer Science 2012-12-18 Areski Hadjaz , Gaétan Marceau , Pierre Savéant , Marc Schoenauer

When designing a benchmark problem set, it is important to create a set of benchmark problems that are a good generalization of the set of all possible problems. One possible way of easing this difficult task is by using artificially…

Neural and Evolutionary Computing · Computer Science 2021-04-28 Urban Škvorc , Tome Eftimov , Peter Korošec

Aircraft collision avoidance systems is critical to modern aviation. These systems are designed to predict potential collisions between aircraft and recommend appropriate avoidance actions. Creating effective collision avoidance systems…

Robust discrete optimization is a highly active field of research where a plenitude of combinations between decision criteria, uncertainty sets and underlying nominal problems are considered. Usually, a robust problem becomes harder to…

Optimization and Control · Mathematics 2022-01-14 Marc Goerigk , Mohammad Khosravi

This paper is devoted to the analysis and resolution of a pathological phenomenon in airplane encounters called blocking mode. As autonomy in airplane systems increases, a pathological phenomenon can be observed in two-aircraft encounter…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Shuhao Qi , Zengjie Zhang , Zhiyong Sun , Sofie Haesaert

Air traffic control is a real-time safety-critical decision making process in highly dynamic and stochastic environments. In today's aviation practice, a human air traffic controller monitors and directs many aircraft flying through its…

Machine Learning · Computer Science 2019-05-07 Marc Brittain , Peng Wei

Remain Well Clear, keeping the aircraft away from hazards by the appropriate separation distance, is an essential technology for the safe operation of uncrewed aerial vehicles in congested airspace. This work focuses on automating the…

Robotics · Computer Science 2023-01-06 Denis Osipychev , Dragos Margineantu , Girish Chowdhary

The landscapes of real-world optimization problems can vary strongly depending on the application. In engineering design optimization, objective functions and constraints are often derived from governing equations, resulting in moderate…

Neural and Evolutionary Computing · Computer Science 2025-02-18 Nobuo Namura

We present a novel complex number formulation along with tight convex relaxations for the aircraft conflict resolution problem. Our approach combines both speed and heading control and provides global optimality guarantees despite…

Computational Engineering, Finance, and Science · Computer Science 2017-09-20 David Rey , Hassan Hijazi
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