Well-posedness of a parametric traffic network problem

Authors: Phan Quốc Khánh, Lê Minh Lưu, Trần Trinh Minh Sơn,

https://doi.org/10.1016/j.nonrwa.2012.11.001

Publisher, magazine: ,

Publication year: 2013

  Lưu        Trích dẫn         Chia sẻ

Abstract

We define kinds of approximate solutions of a traffic network problem and obtain relations to approximate solutions of the corresponding quasivariational inequality. Using these results we establish sufficient conditions for the Tikhonov well-posedness in the sense of Levitin–Polyak of our traffic network problem.

Tags: Traffic networks, Approximate-equilibrium-constraint flows, Quasivariational inequalities, Tikhonov well-posedness, Levitin–Polyak well-posedness