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master's thesis
Matematički model prometnog toka
Zagreb: University of Zagreb, Faculty of Science, 2018. urn:nbn:hr:217:756599
Jusup, Lucija
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Jusup, L. (2018). Matematički model prometnog toka (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:756599

Jusup, Lucija. "Matematički model prometnog toka." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:756599

Jusup, Lucija. "Matematički model prometnog toka." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:756599

Jusup, L. (2018). 'Matematički model prometnog toka', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:756599

Jusup L. Matematički model prometnog toka [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2018 [cited 2024 November 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:756599

L. Jusup, "Matematički model prometnog toka", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:217:756599

Metadata
TitleMatematički model prometnog toka
AuthorLucija Jusup
MentorIgor Pažanin (mentor)
Committee memberIgor Pažanin (predsjednik povjerenstva)
Committee memberNikola Sandrić (član povjerenstva)
Committee memberBojan Basrak (član povjerenstva)
Committee memberLjiljana Arambašić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2018-09-26, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu prezentirali smo matematički model prometnog toka na cesti. Promatrali smo gibanje objekata (automobila) duž jednodimenzionalne osi (ceste), te smo pretpostavili da je to gibanje neprekidno. Zatim smo istom gibanju pridružili prostorne i vremenske varijable te pomoću njih definirali gustoću i protok prometa. Izvodimo i prvi matematički model koji se svodi na rješavanje jednostavne parcijalne diferencijalne jednadžbe. Nakon toga uvodimo i pojam brzine pa model postaje kompleksniji. Posebno smo promatrali slučaj konstantne i slučaj nekonstantne brzine te za oba razvili matematički model i kroz primjere pokušali bolje objasniti svaki od njih. Na kraju rad zaključujemo skupljanjem svih rezultata i završnim komentarom.
Abstract (english)
In this work we have developed a mathematical model describing traffic flow. We have investigated the movement of the objects (cars) along a one-dimensional path (highway), assuming that the motion is continuous. Then we have assigned the spatial and temporal variables to the motion and defined density and traffic flux. We have derived a mathematical model for it given by a simple partial differential equation. After that we have introduced a notion of the velocity so our model became more complex. We have developed mathematical models separately for the case of constant and nonconstant velocity and through some examples tried to explain them a bit further. At the end, we have concluded the work by collecting all the results and writing a final comment.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:756599
Study programmeTitle: Mathematical Statistics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-05-15 12:38:52