Cooperation in traffic network problems via evolutionary split variational inequalities

Shipra Singh, Aviv Gibali, Xiaolong Qin · Journal of Industrial and Management Optimization · 2020

In this paper, we construct an evolutionary (time-dependent) split variational inequality problem and show how to reformulate equilibria of the dynamic traffic network models of two cities as such problem. We also establish existence result for the proposed model. Primary numerical results of equilibria illustrate the validity and applicability of our results.

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