Research output: Contribution to journal › Article › peer-review
Равновесное распределение потоков по маршрутам линейной транспортной сети как решение системы линейных алгебраических уравнений. / Krylatov, A. Yu; Shirokolobova, A. P.
In: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, Vol. 15, No. 4, 2018, p. 103-114.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Равновесное распределение потоков по маршрутам линейной транспортной сети как решение системы линейных алгебраических уравнений
AU - Krylatov, A. Yu
AU - Shirokolobova, A. P.
N1 - Funding Information: ∗ Работа А. Ю. Крылатова выполнена при финансовой поддержке Российского нау чного фонда (проект № 17-71-10069). (A. Yu. Krylatov was jointly supported by a grant from the Russian Science Foundation (Project N 17-71-10069)) ©c Санкт-Петербургский государственный университет, 2018 Publisher Copyright: © 2018 Saint Petersburg State University. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2018
Y1 - 2018
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=85090562915&partnerID=8YFLogxK
U2 - 10.21638/11701/SPBU10.2018.203
DO - 10.21638/11701/SPBU10.2018.203
M3 - статья
AN - SCOPUS:85090562915
VL - 15
SP - 103
EP - 114
JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ
JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ
SN - 1811-9905
IS - 4
ER -
ID: 69989200