0506851 20240103222322.220190725235959.9 000380564700011 6 s. P cav_un_epca*0442997978-80-85823-64-686-91PrahaMatematický ústav AV ČR, v.v.i2015ChlebounJ.PřikrylP.SegethK.ŠístekJ.VejchodskýT. continuous traffic flow models Lighthill-Whitham-Richards models cell transmision model cav_un_auth*0205734 Adaptivní systémy Department of Adaptive Systems AS AS 50 Přikryl Jan UTIA-B CZ K Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0377549 Adaptivní systémy Department of Adaptive Systems AS AS 50 Horňák Ivan UTIA-B CZ Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2019/AS/prikryl-0506851.pdf cav_un_auth*0272526 TA01030603 GA TA ČR Despite their deficiencies, continuous second-order traffic flow models are still commonly used to derive discrete-time models that help traffic engineers to model and predict traffic oflow behaviour on highways. We brie fly overview the development of traffic flow theory based on continuous flow-density models of Lighthill-Whitham-Richards (LWR) type, that lead to the second-order model of Aw-Rascle. We will then concentrate on widely-adopted discrete approximation to the LWR model by Daganzo's Cell Transmission Model. Behaviour of the discussed models will be demonstrated by comparing the traffic flow prediction based on these models with real traffic data on the southern highway ring of Prague. cav_un_auth*0079566 Programy a algoritmy numerické matematiky /7./ 13.06.1994-17.06.1994 Bratříkov CZ BB 10000 10100 10103 2020 2 PR RVO:67985556 http://hdl.handle.net/11104/0298020 S 2015 SCOPUS PUBMED 000380564700011 WOS cav_un_epca*0442997 Programs and algorithms of numerical mathematics 17. Proceedings of seminar 978-80-85823-64-6 86 91 Praha Matematický ústav AV ČR, v.v.i 2015 Chleboun J. 340 Přikryl P. 340 Segeth K. 340 Šístek J. 340 Vejchodský T. 340