Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Non-linear optimization for continuous travel demand estimation. / Raevskaya, Anastasiya P.; Krylatov, Alexander Y.
в: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, Том 17, № 1, 2021, стр. 40-46.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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