Optimization in a traffic flow model as an inverse problem in the Wasserstein space

• Type: Article in International Conference Proceedings Book
• Date: 2022

Authors

Chertovskih, R (Author) FEUP; Pereira, FL (Author) Other; Pogodaev, N (Author) Other; Staritsyn, M (Author) FEUP

Conference proceedings International

Title: IFAC PAPERSONLINE

Pages: 32-37

10th Vienna International Conference on Mathematical Modelling (MATHMOD)

Tech Univ Wien, ELECTR NETWORK, JUL 27-29, 2022

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Other information

Authenticus ID: P-00X-6Y0

DOI: 10.1016/j.ifacol.2022.08.077

Abstract (EN): We address an inverse problem for a dynamical system in the space of probability measures, namely, the problem of restoration of the time-evolution of a probability distribution from certain given statistical information. The dynamics of the distribution is described by a nonlocal continuity equation in the Wasserstein space of probability measures. For the simplest version of this problem, associated with a toy one-dimensional model of traffic flow, we derive a necessary optimality condition and design, on its base, a numerical algorithm of the type of gradient descent. We also discuss some technical aspects of the realization of the elaborated algorithm, and present the results of computational experiments implementing an eloquent numeric scenario. Copyright (C) 2022 The Authors.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6