magistrsko delo
Janez Puntar (Author), Marko Slapar (Mentor)

Abstract

V magistrskem delu bomo analizirali gibanje vozil na enopasovni cesti s pomočjo matematičnega modela. Model prometa bo temeljil na dveh količinah: hitrostnem polju in gostoti prometa. S pomočjo ohranitvenega zakona bomo izpeljali prometno enačbo. Prometna enačba je kvazilinearna parcialna diferencialna enačba dveh spremenljivk, ki jo lahko rešujemo s pomočjo metode karakteristik. V zadnjem delu bomo konkretno obravnavali nekatere prometne situacije.

Keywords

sistemi diferencialnih enačb;kvazilinerna parcialno diferencialna enačba;prometna enačba;pretočnost prometa;

Data

Language: Slovenian
Year of publishing:
Typology: 2.09 - Master's Thesis
Organization: UL PEF - Faculty of Education
Publisher: [J. Puntar]
UDC: 517.9(043.2)
COBISS: 25916931 Link will open in a new window
Views: 2070
Downloads: 182
Average score: 0 (0 votes)
Metadata: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Other data

Secondary language: English
Secondary title: Partial differential equations and traffic flow
Secondary abstract: In this masters thesis we analyze the movement of vehicles on a one lane road using a mathematical model. Our traffic model will depend on two quantities: velocity field and traffic density. Using a conservation law, we derive the traffic equation. The traffic equation is a quasilinear partial differential equation that we can solve using the method of characteristics. In the last part of the thesis, we study a few examples of different traffic situations.
Secondary keywords: mathematics;matematika;
File type: application/pdf
Type (COBISS): Master's thesis/paper
Thesis comment: Univ. v Ljubljani, Pedagoška fak., Poučevanje, Predmetno poučevanje: Matematika-računalništvo
Pages: 40 str.
ID: 11976524