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Equilibrium route flow assignment in linear network as a system of linear equations. / Krylatov, A. Yu; Shirokolobova, A. P.

в: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, Том 14, № 2, 01.01.2018, стр. 103-115.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Krylatov, AY & Shirokolobova, AP 2018, 'Equilibrium route flow assignment in linear network as a system of linear equations', Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, Том. 14, № 2, стр. 103-115. https://doi.org/10.21638/11702/spbu10.2018.203

APA

Krylatov, A. Y., & Shirokolobova, A. P. (2018). Equilibrium route flow assignment in linear network as a system of linear equations. Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, 14(2), 103-115. https://doi.org/10.21638/11702/spbu10.2018.203

Vancouver

Krylatov AY, Shirokolobova AP. Equilibrium route flow assignment in linear network as a system of linear equations. Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya. 2018 Янв. 1;14(2):103-115. https://doi.org/10.21638/11702/spbu10.2018.203

Author

Krylatov, A. Yu ; Shirokolobova, A. P. / Equilibrium route flow assignment in linear network as a system of linear equations. в: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya. 2018 ; Том 14, № 2. стр. 103-115.

BibTeX

@article{db87c327110040469968e182de7fb384,
title = "Equilibrium route flow assignment in linear network as a system of linear equations",
abstract = "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, Route flow traffic assignment, User equilibrium of Wardrop",
author = "Krylatov, {A. Yu} and Shirokolobova, {A. P.}",
year = "2018",
month = jan,
day = "1",
doi = "10.21638/11702/spbu10.2018.203",
language = "English",
volume = "14",
pages = "103--115",
journal = " ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ",
issn = "1811-9905",
publisher = "Издательство Санкт-Петербургского университета",
number = "2",

}

RIS

TY - JOUR

T1 - Equilibrium route flow assignment in linear network as a system of linear equations

AU - Krylatov, A. Yu

AU - Shirokolobova, A. P.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - Constrained nonlinear optimization

KW - Route flow traffic assignment

KW - User equilibrium of Wardrop

UR - http://www.scopus.com/inward/record.url?scp=85050205497&partnerID=8YFLogxK

U2 - 10.21638/11702/spbu10.2018.203

DO - 10.21638/11702/spbu10.2018.203

M3 - Article

AN - SCOPUS:85050205497

VL - 14

SP - 103

EP - 115

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

SN - 1811-9905

IS - 2

ER -

ID: 36926976