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Anastasia P. Shirokolobova, Saint Petersburg State University, Saint-Petersburg, a.shirokolobova@spbu.ru

The reported study was funded by RFBR according to the research project ¹ 18-31-00178

This paper surveys the methodology of estimation the volumes of travel demand between origins and destinations (OD) in transportation networks of general topology, which is named the problem of OD-matrix estimation. The developed bi-level model is based on a dual formulation of the traffic assignment problem. The dual problem on the lower level of the model allows finding the equilibrium travel time between OD-pairs. The solution of dual problem is the equal journey time by alternative routes between any OD-pair under the assumption of first principle of Wardrop equilibrium. Such a bi-level model makes it possible to estimate OD-matrix in accordance with the actual traffic situation. The developed method was experimentally implemented to the Saint-Petersburg road network. As an optimization method for finding solutions, a meta-heuristic evolutionary algorithm is chosen. The obtained results demonstrate the effectiveness of the developed approach.

Keywords: user equilibrium, traffic assignment, dual theory, nonlinear constrained optimization, OD-matrix, information technologies in transport.


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Information about author:
Anastasia P. Shirokolobova, assistant professor, Saint Petersburg State University Russia, Saint Petersburg, Russia