Proximal Point Method for Variational Inequality Applied to a Routing Problem
DOI:
https://doi.org/10.15381/pesquimat.v27.i2.28542Keywords:
proximal point method, network equilibrium problems, proximal distances, variational inequalitiesAbstract
In this paper we present a proximal method with proximal distances for finding the optimal route of a vehicular network modeled as a variational inequality problem. We perform the computational implementation and numerical experimentation in Python using Newton’s method and a viability ruler to solve the subproblems that become systems of nonlinear equations with nonnegative constraints on the variables. The main contribution of the article is the numerical approach used to solve the subproblems of the proximal method and which are verified through practical examples.
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Copyright (c) 2024 Elvia Peréz Bartur´en, Rosa Medina Aguilar, Erik Papa Quiroz
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