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Non-linear optimization for continuous travel demand estimation. / Raevskaya, Anastasiya P.; Krylatov, Alexander Y.

In: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, Vol. 17, No. 1, 2021, p. 40-46.

Research output: Contribution to journal › Article › peer-review

Harvard

Raevskaya, AP & Krylatov, AY 2021, 'Non-linear optimization for continuous travel demand estimation', Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, vol. 17, no. 1, pp. 40-46. https://doi.org/10.21638/11701/SPBU10.2021.104

APA

Raevskaya, A. P., & Krylatov, A. Y. (2021). Non-linear optimization for continuous travel demand estimation. Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, 17(1), 40-46. https://doi.org/10.21638/11701/SPBU10.2021.104

Vancouver

Raevskaya AP, Krylatov AY. Non-linear optimization for continuous travel demand estimation. Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya. 2021;17(1):40-46. https://doi.org/10.21638/11701/SPBU10.2021.104

Author

Raevskaya, Anastasiya P. ; Krylatov, Alexander Y. / Non-linear optimization for continuous travel demand estimation. In: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya. 2021 ; Vol. 17, No. 1. pp. 40-46.

BibTeX

@article{d9368f6c4f7441ea8aa953b374c276a2,
title = "Non-linear optimization for continuous travel demand estimation",
abstract = "Models and methods of traffic distribution are being developed by researchers all over the world. The development of this scientific field contributes to both theory and practice. In this article, the non-linear optimization of traffic flow re-assignment is examined in order to solve continuously the travel demand estimation problem. An approach has been developed in the form of computational methodology to cope with the network optimization problem. A uniqueness theorem is proved for a certain type of road network. Explicit relations between travel demand and traffic flow are obtained for a single-commodity network of non-intersecting routes with special polynomial travel time functions. The obtained findings contribute to the theory and provide a fresh perspective on the problem for transportation engineers.",
keywords = "Bi-level optimization, Non-linear optimization, Traffic assignment problem, Travel demand estimation",
author = "Raevskaya, {Anastasiya P.} and Krylatov, {Alexander Y.}",
note = "Publisher Copyright: {\textcopyright} 2021 Saint Petersburg State University. All rights reserved.",
year = "2021",
doi = "10.21638/11701/SPBU10.2021.104",
language = "English",
volume = "17",
pages = "40--46",
journal = " ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ",
issn = "1811-9905",
publisher = "Издательство Санкт-Петербургского университета",
number = "1",

}

RIS

TY - JOUR

T1 - Non-linear optimization for continuous travel demand estimation

AU - Raevskaya, Anastasiya P.

AU - Krylatov, Alexander Y.

N1 - Publisher Copyright: © 2021 Saint Petersburg State University. All rights reserved.

PY - 2021

Y1 - 2021

N2 - Models and methods of traffic distribution are being developed by researchers all over the world. The development of this scientific field contributes to both theory and practice. In this article, the non-linear optimization of traffic flow re-assignment is examined in order to solve continuously the travel demand estimation problem. An approach has been developed in the form of computational methodology to cope with the network optimization problem. A uniqueness theorem is proved for a certain type of road network. Explicit relations between travel demand and traffic flow are obtained for a single-commodity network of non-intersecting routes with special polynomial travel time functions. The obtained findings contribute to the theory and provide a fresh perspective on the problem for transportation engineers.

AB - Models and methods of traffic distribution are being developed by researchers all over the world. The development of this scientific field contributes to both theory and practice. In this article, the non-linear optimization of traffic flow re-assignment is examined in order to solve continuously the travel demand estimation problem. An approach has been developed in the form of computational methodology to cope with the network optimization problem. A uniqueness theorem is proved for a certain type of road network. Explicit relations between travel demand and traffic flow are obtained for a single-commodity network of non-intersecting routes with special polynomial travel time functions. The obtained findings contribute to the theory and provide a fresh perspective on the problem for transportation engineers.

KW - Bi-level optimization

KW - Non-linear optimization

KW - Traffic assignment problem

KW - Travel demand estimation

UR - http://www.scopus.com/inward/record.url?scp=85106703376&partnerID=8YFLogxK

U2 - 10.21638/11701/SPBU10.2021.104

DO - 10.21638/11701/SPBU10.2021.104

M3 - Article

AN - SCOPUS:85106703376

VL - 17

SP - 40

EP - 46

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

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

SN - 1811-9905

IS - 1

ER -

ID: 84292560