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Probabilistic conflict prediction: an accurate and computationally efficient approach

Thesis (PhD)--Stellenbosch University, 2023.

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Main Author: Roelofse, Christiaan Roelofse
Other Authors: Van Daalen, Corne E.
Format: Thesis
Language:en_ZA
en_ZA
Published: Stellenbosch : Stellenbosch University 2023
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access_status_str Open Access
author Roelofse, Christiaan Roelofse
author2 Van Daalen, Corne E.
author_browse Roelofse, Christiaan Roelofse
Van Daalen, Corne E.
author_facet Van Daalen, Corne E.
Roelofse, Christiaan Roelofse
author_sort Roelofse, Christiaan Roelofse
collection Thesis
dc_rights_str_mv Stellenbosch University
description Thesis (PhD)--Stellenbosch University, 2023.
format Thesis
id oai:scholar.sun.ac.za:10019.1/128923
institution Stellenbosch University (South Africa)
language en_ZA
en_ZA
last_indexed 2026-06-10T12:46:28.519Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2023
publishDateRange 2023
publishDateSort 2023
publisher Stellenbosch : Stellenbosch University
publisherStr Stellenbosch : Stellenbosch University
record_format dspace
source_str SUNScholar — Stellenbosch University Repository
spelling oai:scholar.sun.ac.za:10019.1/128923 Probabilistic conflict prediction: an accurate and computationally efficient approach Roelofse, Christiaan Roelofse Van Daalen, Corne E. Stellenbosch University. Faculty of Engineering. Dept. of Electrical and Electronic Engineering. Automated vehicles Automobiles -- Collision avoidance systems Traffic accidents -- Forecasting Simulated annealing (Mathematics) Thesis (PhD)--Stellenbosch University, 2023. ENGLISH ABSTRACT: Collision (or conflict) prediction is a vital component of motion planning for autonomous vehicles to ensure safe operation, both in the context of autonomous navigation and in the context of an advisory system for manned vehicles. Prediction methods must be accurate to know whether motion planning corrections are required. However, computationally efficient prediction methods are Essential in order to ensure that motion planning corrections are brought about in a timely manner. Efficient prediction methods are especially crucial when testing large sets of candidate trajectories for conflict, given the accumulation of computational cost for each candidate. This dissertation presents a probabilistic conflict prediction method that demonstrates the same accuracy as existing methods, but at a significantly reduced computational cost. This is achieved by a novel reformulation of the conflict prediction problem in terms of the first-passage time using a dimension-reduction transform. First-passage time distributions are analytically derived for a subset of Gaussian motion models which describe vehicle motion. The proposed method is applicable for stochastic processes where the vehicle mean motion can be approximated by linear segments, and the conflict boundary is modelled as – or approximated by – either piece-wise straight lines in 2-D, or neighbouring planes in 3-D. The proposed method was tested in simulation and compared to state-of-the-art conflict prediction methods. These comparison methods consist of two probability flow methods, as well as an instantaneous conflict probability method. The results demonstrate a significant decrease of computation time. AFRIKAANSE OPSOMMING: Botsingsvoorspelling (of konflikvoorspelling) is ’n belangrike komponent van padbeplanning vir outonome voertuie om veiligheid te verseker, beide in die konteks van outonome navigasie en in die konteks van ’n advieseringsstelsel vir bemandevoertuie. Voorspellingsmetodes moet akkuraat wees om te bepaal of bewegingsbeplanning-regstellings nodig is. Rekenkundig effektiewe (computationally efficient) voorspellingsmetodes is egter noodsaaklik om te verseker dat bewegingsbeplanning regstellings betyds teweeggebring word. Effektiewe voorspellingsmetodes is van kardinale belang wanneer groot stelle kandidaatpaaie getoets word vir konflik, gegee die opgaring van berekenings tyd vir elke kandidaat. Hierdie proefskrif bied ’n voorspellingsmetode aan wat dieselfde akkuraatheid as bestaande metodes vertoon, maar teen ’n noemenswaardige verlaagde berekeningskoste. Die verbetering word bereik deur ’n nuwe herformulering van die konflikvoorspellingsprobleem in terme van die eerste-gang tydverspreiding (first-passage time distribution) deur gebruik te maak van ’n dimensie-reduksie transform. Eerste-gang tydverspreiding word analities afgelei vir ’n substel van Gaussiese bewegingsmodelle wat voertuigbeweging beskryf. Die voorgestelde metode is van toepassing op stogastiese prosesse waar die gemiddelde beweging benader kan word deur lineêre segmente, en die konflikgrens word gemodelleer as – of kan benader word as – óf stuksgewyse reguitlyne in 2-D, óf naburige vlakke in 3-D. Die voorgestelde metode is in simulasie getoets en vergelyk met bestaande (gestigde) konflikvoorspellingsmetodes. Die set methodes bestaan uit twee waarskynlikheidsvloei metodes, sowel as ’n oombliklike onflikwaarskynlikheids metode. Die resultate toon ’n beduidende afname in berekeningstyd. Doctorate 2023-11-20T08:38:38Z 2024-01-08T15:57:46Z 2023-11-20T08:38:38Z 2024-01-08T15:57:46Z 2023-12 Thesis https://scholar.sun.ac.za/handle/10019.1/128923 en_ZA en_ZA Stellenbosch University xvi, 127 pages : illustrations application/pdf Stellenbosch : Stellenbosch University
spellingShingle Automated vehicles
Automobiles -- Collision avoidance systems
Traffic accidents -- Forecasting
Simulated annealing (Mathematics)
Roelofse, Christiaan Roelofse
Probabilistic conflict prediction: an accurate and computationally efficient approach
title Probabilistic conflict prediction: an accurate and computationally efficient approach
title_full Probabilistic conflict prediction: an accurate and computationally efficient approach
title_fullStr Probabilistic conflict prediction: an accurate and computationally efficient approach
title_full_unstemmed Probabilistic conflict prediction: an accurate and computationally efficient approach
title_short Probabilistic conflict prediction: an accurate and computationally efficient approach
title_sort probabilistic conflict prediction an accurate and computationally efficient approach
topic Automated vehicles
Automobiles -- Collision avoidance systems
Traffic accidents -- Forecasting
Simulated annealing (Mathematics)
url https://scholar.sun.ac.za/handle/10019.1/128923
work_keys_str_mv AT roelofsechristiaanroelofse probabilisticconflictpredictionanaccurateandcomputationallyefficientapproach