2013
DOI: 10.1016/j.ssci.2012.05.010
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Conflict probability estimation between aircraft with dynamic importance splitting

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Cited by 22 publications
(9 citation statements)
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“…The FRAM is inherently a qualitative method, and so it cannot offer an empirical approach to express the effect of the parameters' variabilities 21 . To overcome these lacunae, the literature suggests using Monte Carlo simulation, through which the probability distribution of the imposed uncertainties on the functions' features could be used to measure and verify the variabilities 22‐24 . We argue that a delayed function affects the functions coupled to it by reducing their execution times and increasing the risk of accidents.…”
Section: A Functional Speed‐based Model For Risk Assessmentmentioning
confidence: 98%
“…The FRAM is inherently a qualitative method, and so it cannot offer an empirical approach to express the effect of the parameters' variabilities 21 . To overcome these lacunae, the literature suggests using Monte Carlo simulation, through which the probability distribution of the imposed uncertainties on the functions' features could be used to measure and verify the variabilities 22‐24 . We argue that a delayed function affects the functions coupled to it by reducing their execution times and increasing the risk of accidents.…”
Section: A Functional Speed‐based Model For Risk Assessmentmentioning
confidence: 98%
“…For instance, Jacquemart and Morio (2013) generate trajectories to estimate collisions between en-route trajectories with constant altitude and heading. Henry et al (2013) create 1-dimensional altitude profiles for the study of airborne collisions between intersecting runways.…”
Section: Abbreviationsmentioning
confidence: 99%
“…Generative models allow generating an arbitrary large amount of trajectories based on the most recent observations, or even procedures that are rarely used, but potentially dangerous. Consequently, previous research such as Eckstein (2010), Henry, Schmitz, Revenko, and Kelbaugh (2013) and Jacquemart and Morio (2013) developed different analytic generators of random aircraft trajectories to be used in conjunction with Monte Carlo simulations. Nevertheless, the generation methods in the literature are often limited as they only generate simple or one-dimensional trajectories, which confines the collision risk analysis to sub-problems.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, some hierarchical IPS algorithms proposed in research are considered for Free Flight modeling described by advanced stochastic Petri nets [11]. In 2013, Damien Jacquemart [12] also used Markov chain model to simulate aircraft trajectories and applied the important splitting method to estimate conflict probabilities to overcome the flaw of Monte Carlo method which is not efficient to estimate small probabilities. In 2015, Qiao et al [13] proposed Hidden Markov model-based Trajectory Prediction (HMTP) method to overcome the difficulty of describing the position and behavior of moving objects in a network-constraint environment.…”
Section: Introductionmentioning
confidence: 99%