Geodesic
Equilibrium route flow assignment in linear network as a system
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 14 (2018) no. 2, pp. 103-115

Voir la notice de l'article provenant de la source Math-Net.Ru

Decision making requires possibilities to influence the object. In urban traffic area it is crucial to influence traffic flows. However, first of all, decision maker needs comprehensive information about traffic flows. From a practical perspective, the most valuable is information about route flows, unlike information about link flows. In this paper, a route flow traffic assignment model in a linear network is studied. Linear road network (linear link performance function) gives a chance to reduce traffic assignment problem to a system of linear equations and conditions in the form of linear inequalities. The directed graph represents road network. Route flow traffic assignment problem is presented as a nonlinear constrained problem. The theorem about the reduction of a route flow traffic assignment problem in linear road network to the system of linear equations is proved. Implementation of developed approach to an example of the linear road network is disassembled in details.
Keywords: constrained nonlinear optimization, user equilibrium of Wardrop, route flow traffic assignment. 
@article{VSPUI_2018_14_2_a2,
     author = {A. Yu. Krylatov and A. P. Shirokolobova},
     title = {Equilibrium route flow assignment in linear network as a system},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {103--115},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2018_14_2_a2/}
}
TY  - JOUR
AU  - A. Yu. Krylatov
AU  - A. P. Shirokolobova
TI  - Equilibrium route flow assignment in linear network as a system
JO  - Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
PY  - 2018
SP  - 103
EP  - 115
VL  - 14
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSPUI_2018_14_2_a2/
LA  - ru
ID  - VSPUI_2018_14_2_a2
ER  - 
%0 Journal Article
%A A. Yu. Krylatov
%A A. P. Shirokolobova
%T Equilibrium route flow assignment in linear network as a system
%J Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
%D 2018
%P 103-115
%V 14
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSPUI_2018_14_2_a2/
%G ru
%F VSPUI_2018_14_2_a2
A. Yu. Krylatov; A. P. Shirokolobova. Equilibrium route flow assignment in linear network as a system. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 14 (2018) no. 2, pp. 103-115. http://geodesic.mathdoc.fr/item/VSPUI_2018_14_2_a2/