Stochastic Equilibrium Transportation Models and Efficient Numerical Schemes

Student: Belov Ivan

Supervisor:

Educational Programme: Applied Mathematics and Information Science (Bachelor)

Year of Graduation: 2018

In this work we deal with the mathematical modeling of transportation flows. We give an overview of background of this field and main existing models. We attempted to obtain another stochastic equilibrium model based on the Nesterov-de Palma's Model of Stable Dynamics. For this purpose we proposed two new classes of functions that can be used in order to smooth the objective function of an optimization problem obtained from Nesterov-de Palma's model by some transformations. We compare the models obtained with the use of these functions to existing solution with the entropy function.

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