Research output: Contribution to journal › Article › Scientific › peer-review

**Mathematical Models for Air Traffic Conflict and Collision Probability Estimation.** / Mitici, Mihaela; Blom, Henk A.P.

Research output: Contribution to journal › Article › Scientific › peer-review

Mitici, M & Blom, HAP 2018, 'Mathematical Models for Air Traffic Conflict and Collision Probability Estimation' *IEEE Transactions on Intelligent Transportation Systems*, vol. 20, no. 3, pp. 1052 - 1068. https://doi.org/10.1109/TITS.2018.2839344

Mitici, M., & Blom, H. A. P. (2018). Mathematical Models for Air Traffic Conflict and Collision Probability Estimation. *IEEE Transactions on Intelligent Transportation Systems*, *20*(3), 1052 - 1068. https://doi.org/10.1109/TITS.2018.2839344

Mitici M, Blom HAP. Mathematical Models for Air Traffic Conflict and Collision Probability Estimation. IEEE Transactions on Intelligent Transportation Systems. 2018;20(3):1052 - 1068. https://doi.org/10.1109/TITS.2018.2839344

@article{c3073e93e54a4b47a8695a806b3edbb4,

title = "Mathematical Models for Air Traffic Conflict and Collision Probability Estimation",

abstract = "Increasing traffic demands and technological developments provide novel design opportunities for future air traffic management (ATM). In order to evaluate current air traffic operations and future designs, over the past decades, several mathematical models have been proposed for air traffic conflict and collision probability estimation. However, few comparative evaluations of these models with respect to their mathematical core exist. Such comparative evaluations are particularly difficult since different authors employ different model definitions, notations, and assumptions, even when using the same modeling techniques. The aim of this paper is: 1) to present the mathematical core of the existing approaches for air traffic conflict and collision probability estimation using the same body of notations and definitions; 2) to outline the advances in estimating the probability of air traffic conflict and collision using a unified mathematical framework; 3) to various air traffic applications and their use of directed mathematical models for air traffic conflict and collision probability estimation; and 4) to provide insight into the capabilities and restrictions of the mathematical models in the evaluation of future ATM designs.",

keywords = "Air traffic, aircraft, collision, conflict, risk, simulation.",

author = "Mihaela Mitici and Blom, {Henk A.P.}",

year = "2018",

doi = "10.1109/TITS.2018.2839344",

language = "English",

volume = "20",

pages = "1052 -- 1068",

journal = "IEEE Transactions on Intelligent Transportation Systems",

issn = "1524-9050",

publisher = "IEEE",

number = "3",

}

TY - JOUR

T1 - Mathematical Models for Air Traffic Conflict and Collision Probability Estimation

AU - Mitici, Mihaela

AU - Blom, Henk A.P.

PY - 2018

Y1 - 2018

N2 - Increasing traffic demands and technological developments provide novel design opportunities for future air traffic management (ATM). In order to evaluate current air traffic operations and future designs, over the past decades, several mathematical models have been proposed for air traffic conflict and collision probability estimation. However, few comparative evaluations of these models with respect to their mathematical core exist. Such comparative evaluations are particularly difficult since different authors employ different model definitions, notations, and assumptions, even when using the same modeling techniques. The aim of this paper is: 1) to present the mathematical core of the existing approaches for air traffic conflict and collision probability estimation using the same body of notations and definitions; 2) to outline the advances in estimating the probability of air traffic conflict and collision using a unified mathematical framework; 3) to various air traffic applications and their use of directed mathematical models for air traffic conflict and collision probability estimation; and 4) to provide insight into the capabilities and restrictions of the mathematical models in the evaluation of future ATM designs.

AB - Increasing traffic demands and technological developments provide novel design opportunities for future air traffic management (ATM). In order to evaluate current air traffic operations and future designs, over the past decades, several mathematical models have been proposed for air traffic conflict and collision probability estimation. However, few comparative evaluations of these models with respect to their mathematical core exist. Such comparative evaluations are particularly difficult since different authors employ different model definitions, notations, and assumptions, even when using the same modeling techniques. The aim of this paper is: 1) to present the mathematical core of the existing approaches for air traffic conflict and collision probability estimation using the same body of notations and definitions; 2) to outline the advances in estimating the probability of air traffic conflict and collision using a unified mathematical framework; 3) to various air traffic applications and their use of directed mathematical models for air traffic conflict and collision probability estimation; and 4) to provide insight into the capabilities and restrictions of the mathematical models in the evaluation of future ATM designs.

KW - Air traffic

KW - aircraft

KW - collision

KW - conflict

KW - risk

KW - simulation.

UR - http://www.scopus.com/inward/record.url?scp=85048556020&partnerID=8YFLogxK

U2 - 10.1109/TITS.2018.2839344

DO - 10.1109/TITS.2018.2839344

M3 - Article

VL - 20

SP - 1052

EP - 1068

JO - IEEE Transactions on Intelligent Transportation Systems

T2 - IEEE Transactions on Intelligent Transportation Systems

JF - IEEE Transactions on Intelligent Transportation Systems

SN - 1524-9050

IS - 3

ER -

ID: 45554663