The projection algorithm for inverse quasi-variational inequalities with applications to traffic assignment and network equilibrium control problems

We consider a first-order dynamical system for solving inverse quasi-variational inequalities in finite dimensional spaces. Through an explicit time discrete version of the proposed dynamical system, we investigate the linear convergence of a projection algorithm under suitable conditions of paramet...

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Bibliographic Details
Published inOptimization Vol. 74; no. 8; pp. 1819 - 1842
Main Authors Trinh, Thanh Quoc, Vuong, Phan Tu
Format Journal Article
LanguageEnglish
Published Taylor & Francis 11.06.2025
Subjects
Inverse quasi-variational inequality
linear convergence
network equilibrium control problem
projection algorithm
traffic assignment
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Summary:We consider a first-order dynamical system for solving inverse quasi-variational inequalities in finite dimensional spaces. Through an explicit time discrete version of the proposed dynamical system, we investigate the linear convergence of a projection algorithm under suitable conditions of parameters. Moreover, we investigate the application of inverse quasi-variational inequalities in traffic assignment problem and network equilibrium control problem. The numerical experiments for these practical problems confirm the linear convergence of the theoretical part. In particular, the obtained results provide a positive answer to an open question posted by S. Dey and S. Reich in Optimization, DOI: 10.1080/02331934.2023.2173525(2023) .
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2024.2329788